Means of Generative Expansion - Control, Distribution, and Accumulation of Realization Conditions

Abstract

Classical accounts of exploitation locate a structural invariant in ownership of
the means of production: a worker holds labor power and lacks the factory,
machinery, and distribution required to realize it, and must therefore enter a
process another party governs. This paper asks what becomes of that invariant
when the capacity at issue is generative and non-rival. The answer proposed here
turns on a distinction the classical case does not require. Ownership of
productive means governs the conditions under which a capacity is
exercised, which is why the worker must enter the owner’s process.
Control of realization conditions for a generative capacity leaves exercise
untouched and governs the conditions under which the capacity expands.
The affected participant continues to hold and to use what it holds, and stands
in no relation whatever to the controlling party. This breaks the employment
template and explains why no transaction, contract, or encounter need occur
anywhere in the configuration. The paper’s second claim concerns rivalry. A
generative capacity is non-rival in possession: two parties can hold the same
grammar, method, or technique without diminishing one another. It does not
follow that they can both expand it, because expansion runs through conditions
that are scarce, and through positions such as priority and recognition that are
constituted by ranking and therefore cannot be held by everyone. Non-rivality
relocates conflict rather than removing it. The paper then models realization
conditions as a conversion network in which heterogeneous holdings convert into
one another at institutionally determined rates, and shows that conversion
together with reinvestment produces cumulative advantage endogenously, with no
intention to exclude anywhere in the mechanism. It shows that positional
conditions are non-distributable in a strict sense, so that a purely
distributive remedy is structurally partial and a complete response must alter
conversion rates or positional structure. It records what accumulates: position
in a conversion network rather than a stock of value, which is why a
value-theoretic accounting of the advantage is unavailable. And it preserves the
correction that governs the whole: control of expansion conditions is one
mechanism among several rather than the essence of the relation, and the
diagnostic question remains with a companion project. The paper establishes no
prevalence, proposes no policy, claims no replacement of labor exploitation, and
classifies no firm, sector, or institution.

Keywords: means of generative expansion; realization

Document Status, Preparation, and Reuse

This unnumbered section records the manuscript’s status, research genealogy,
preparation process, and reuse conditions. These statements govern the document
and carry no evidential weight for its substantive position.

Status and correspondence.
This paper is a revisable discussion document. Its constructions are proposals,
its formal results are conditional on declared assumptions, and its empirical
bridges remain open. Objections, counterexamples, corrections, alternative
formulations, and relevant literature are welcome at
mailto:huangwanhong@serendip.ngohuangwanhong@serendip.ngo.

Research genealogy.
Four moves are researcher-origin. The chain from acquisition of another’s
generative organization, through possession of conditions permitting its
expansion, to foreclosure of the original holder’s own expansion. The conjecture
that capital continues to control the means through which productive potential
becomes socially effective, so that a structural invariant survives the change of
object. The sharpening of that conjecture into a difference: control operates on
the target’s expansion conditions rather than on the target directly, so
that the affected party need not enter the controller’s process at all. And the
correction that condition control is one mechanism rather than the essence,
since what matters is that another holder of the same or a similar generative
organization is unable to expand it.

The student-and-professor case, in which one party originates an idea and
another obtains funding, realizes it first, and occupies the recognized position
while the originator remains resource-constrained and unrecognized, is likewise
researcher-origin.

The phrase means of generative expansion, the conversion-network
construction, the cumulative-advantage results, the non-distributability result,
and every countermodel are agent-added.

Generative AI use.
Generative AI systems were used in the preparation of this work. Anthropic’s
Claude and OpenAI systems including ChatGPT and Codex supported exploratory
discussion, formal reconstruction, source discovery followed by verification,
and drafting in . The author determined the research questions,
theoretical commitments, and epistemic status of the claims and bears sole
responsibility for the manuscript, including its errors. None of these systems
is an author or holds authorship credit.

License.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0
International License (CC BY-NC 4.0). The license text is available at
https://creativecommons.org/licenses/by-nc/4.0/.

1. Introduction

A student has an idea and continues to have it. A professor learns the idea,
obtains funding, assembles collaborators, publishes first, and occupies the
recognized position. The student retains the idea in full, retains the capacity
that produced it, and can no longer develop it: the funding is committed, the
collaborators are engaged, the priority is taken, and nobody knows the student
was involved. Nothing was removed from the student’s possession and the
student’s future has been substantially reorganized.

This configuration is the paper’s subject. It resembles classical exploitation
in one respect and differs in another, and getting both right is the work.

The resemblance is a structural invariant that classical political economy
identified. A worker holds labor power and lacks the factory, the machinery, the
land, and the distribution system required to realize it at scale
(Marx, 1992). Ownership of those means is what compels the worker to
enter a process the owner governs. The invariant is that whoever controls the
means through which a productive potential becomes socially effective controls
the potential’s realization, whatever the potential happens to be.

The difference is sharper and is this paper’s starting point. Ownership of
productive means governs the conditions under which the capacity is
exercised. That is why the worker must enter the owner’s process: the
capacity cannot be used elsewhere. Control of realization conditions for a
generative capacity leaves exercise entirely untouched. The student still
thinks, still works, still holds the idea, and may continue to develop it in
whatever way unfunded and unrecognized work permits. What has been governed is
not exercise but expansion: the conditions under which the capacity could
have become socially effective at scale.

One consequence is immediate and is easy to miss. Because control operates on
expansion rather than exercise, the affected participant need stand in no
relation whatever to the controlling party. There need be no contract, no
transaction, no employment, and no encounter. The employment relation, which
organizes the classical account and supplies its evidentiary anchors, is simply
absent. A theory built on transactions between parties will not find this
configuration because there is no transaction in it.

A second question follows. A generative capacity is non-rival in possession: two
people can hold the same grammar, method, or technique, and neither diminishes
the other. It is tempting to conclude that non-rivality removes the conflict.
It does not. Two holders of the same capacity cannot both expand it, because
expansion runs through conditions that are scarce and through positions such as
priority, recognition, and attention that are constituted by ranking and
therefore cannot be occupied by everyone at once. The paper states this as
non-rivality in possession together with rivalry in expansion. The conflict is
not removed; it is relocated from the capacity to the conditions.

Three further claims organize the analysis. The realization conditions are
heterogeneous and inter-convertible: funding buys compute, compute yields
results, results yield recognition, recognition yields funding. What matters is
therefore not any single holding but position in a conversion network whose
rates are set institutionally rather than technically. Conversion together with
reinvestment produces cumulative advantage endogenously, so that an initial
asymmetry widens without anyone intending to exclude anyone; the
student-and-professor case is a cumulative-advantage case before it is a case of
bad faith, and the paper argues that this makes it harder rather than easier to
address. And positional conditions are non-distributable in a strict sense: a
rank cannot be raised for everyone, so a purely distributive remedy is
structurally partial and a complete response must alter conversion rates or
positional structure rather than reallocating holdings.

What accumulates, on this account, is position in a conversion network rather
than a stock of value. This has a consequence the paper takes seriously: no
value-theoretic accounting of the advantage is available, since there is no
conserved substance being transferred. The classical apparatus would measure
what has been taken, and here nothing has been taken.

The paper preserves one correction throughout, and it is the researcher’s.
Control of expansion conditions is a mechanism, not an essence. What matters is
that another holder of the same or a similar generative organization becomes
unable to expand it, and condition control is one route to that outcome among
others. This paper studies the mechanism; whether any instance of it is
exploitation is a question for the companion diagnostic, which requires
participant standing, an admissible comparison, and a benefit-through relation
that the mechanism alone does not supply.

The paper establishes no prevalence, proposes no policy, claims no replacement
of labor exploitation by generativity exploitation, and classifies no firm,
sector, or institution. It is the least developed branch of its research
programme and is presented as a first structural treatment rather than a
completed political economy.

The argument proceeds in seven further sections. Section 3
analyzes the invariant and the exercise-expansion difference.
Section 4 reviews the political-economy traditions the
problem engages. Section 5 argues the six theses.
Section 6 supplies the formal results.
Section 7 states countermodels and the student-and-professor
structure. Section 8 collects open questions, and
Section 9 states limits and defeat conditions.

The philosophical and formal parts are formally independent, since every
proposition follows from declared assumptions and no derivation cites a thesis,
and justificatorily dependent, since the formal results describe
structures whose interest rests on the arguments.
Section 5.7 records what fails if each thesis is rejected.

2. The Invariant and Its Limit

This section performs the problem analysis. Its objective is to state precisely
what carries over from the classical account and what does not, and to derive
the requirements a political economy of generative expansion must satisfy.

2.1 What Carries Over

This subsection states the invariant.

The classical account locates exploitation in a relation between a capacity and
the means of its realization. The worker possesses labor power; the capitalist
possesses the means of production; and the worker must enter the capitalist’s
process because labor power cannot be realized without those means
(Marx, 1992). The relation is not primarily about the transaction’s
terms. It is about who controls what the capacity requires.

Stated at that level of abstraction the relation is indifferent to the capacity
in question. Whoever controls the means through which a productive potential
becomes socially effective is positioned to govern how that potential is
realized, whether the potential is labor power, a research programme, or a
generative organization. This is the invariant the researcher identified, and
the paper accepts it.

Marx’s later discussion of the general intellect anticipates a complication:
where productive power resides in accumulated collective knowledge rather than
in individual labor time, the account’s units become difficult to apply
(Marx, 1973). The complication is real and is not this paper’s
subject; what matters here is that the invariant survives the shift while the
apparatus around it does not.

2.2 Exercise Against Expansion

This subsection states the difference that organizes the paper.

Classical control operates on the conditions under which the capacity is
exercised. Labor power is realized by working, working requires the means
of production, and the means are owned by another party. The worker’s capacity
is therefore unusable outside the owner’s process, which is what makes entry
compulsory and what makes the employment relation the natural unit of analysis.

Control of realization conditions for a generative capacity does not operate on
exercise. A person who holds a method continues to hold it, continues to be able
to apply it, and requires no permission to think. What such control operates on
is expansion: the conditions under which the capacity develops, scales, is
taken up by others, and becomes a trajectory rather than an episode.

Three consequences follow, and each breaks a feature of the classical template.

The affected participant retains and uses the capacity, so no dispossession in
the ordinary sense occurs and no inventory of what was taken can be produced.

The affected participant need enter no process belonging to the controller.
There need be no contract, no transaction, and no encounter of any kind. In the
student-and-professor structure the two may never interact after the initial
exposure.

The relation is therefore not identifiable by examining a transaction, which is
where the classical account and most of its successors look. The configuration
is visible only by comparing what the affected participant could have developed
under an alternative arrangement with what it can develop under the actual one,
which is the comparison the companion diagnostic constructs.

2.3 The Correction

This subsection preserves the constraint that limits the paper’s ambition.

It would be natural, having identified condition control, to treat it as the
essence of the relation. The researcher explicitly declined that move: condition
control is one mechanism, and what matters is that another holder of the same or
a similar generative organization becomes unable to expand it.

The correction has teeth. Foreclosure of another holder’s expansion can occur
through condition control, and it can also occur through occupying a position,
through establishing a standard that renders alternatives illegible, through
absorbing the collaborators, or through simply arriving first with adequate
resources. A political economy organized entirely around condition control would
misclassify every case that runs through another route.

This paper therefore studies condition control as a mechanism family and makes
no claim to have identified the essence of anything. The diagnostic question
remains with the companion project.

2.4 Requirements

The analysis yields four requirements. An account must represent realization
conditions as heterogeneous rather than as a single resource, since funding,
compute, collaborators, priority, and recognition behave differently. It must
represent their relations to one another, since they are obtained through one
another. It must explain how asymmetry grows without assuming intent, since the
motivating cases involve none. And it must state what accumulates, given that no
conserved substance is transferred.

3. Political-Economy Traditions

This section locates the paper among the traditions its problem engages. Its
objective is bounded positioning: each supplies a construction or a constraint,
none supplies an account of expansion conditions for a generative capacity, and
their disagreements are preserved.

3.1 Means, Value, and Property Relations

Marx’s account supplies the invariant and an apparatus this paper does not adopt
(Marx, 1992). Roemer’s reconstruction is more usable here, since it
defines exploitation through the distribution of productive assets and a
withdrawal comparison rather than through a value substance
(Roemer, 1982), and Cohen argues that the charge survives removal
of the labor theory of value entirely (Cohen, 1979). Both matter because
the present configuration transfers no conserved quantity, so an account
requiring one cannot describe it.

A further tradition locates the wrong in the relation itself. Vrousalis
analyzes exploitation as the self-enriching instrumentalization of another’s
vulnerability, which is a species of domination (Vrousalis, 2013).
This account is instructive here for what it cannot reach. Instrumentalizing
another’s vulnerability requires a relation to that party, and the configuration
analyzed in this paper contains none: the controlling party may never encounter
the affected participant, may not know of its existence, and does not use it for
anything. Where the relation is absent the account is silent, and the silence is
a finding rather than a defect, since it locates precisely what is unusual about
the configuration.

Zwolinski’s constraint applies directly (Zwolinski, 2012): an
analysis organized around control of conditions invites the inference that any
transaction occurring under asymmetric control is thereby exploitative, and that
inference would make the category vacuous.

3.2 Forms of Capital and Their Conversion

Bourdieu analyzes capital in several forms — economic, cultural, and social —
and treats their convertibility as a central feature, with conversion requiring
transformation work and occurring at rates that are socially rather than
technically determined (Bourdieu, 1986). Symbolic capital, in the form
of recognition, is on that account both an outcome of conversion and an input to
further conversion.

This is the paper’s principal construction-supplying antecedent. The realization
conditions at issue here — funding, compute, collaborators, institutional
position, priority, recognition, distribution — are heterogeneous in exactly
Bourdieu’s sense and are obtained through one another in exactly his manner. The
paper’s conversion network is an application of that framework to a target
Bourdieu did not address, and it adopts none of his surrounding sociology.

3.3 Cumulative Advantage

Merton analyzes the Matthew effect in science: recognition accrues
disproportionately to those already eminent, so that in cases of collaboration
or multiple discovery the credit flows to the better-known party, and the
resulting advantage compounds through access to resources, students, and
attention (Merton, 3810).

The relevance is direct and the paper should state it plainly. The
student-and-professor structure is, in its recognition dimension, a Matthew
effect. Merton’s analysis establishes that such dynamics operate through
ordinary institutional mechanisms without requiring anyone to intend the
outcome, which is the feature the paper’s fourth thesis generalizes.

3.4 Positional Goods

Hirsch analyzes goods whose value derives from relative standing, and argues
that as societies grow richer an increasing share of what is sought cannot be
obtained by all without being spoiled for each other (Hirsch, 1976).
Priority, recognition, and attention are positional in this sense.

This supplies the paper’s non-distributability result. A positional condition
cannot be expanded for everyone, so the standard remedial move of increasing
supply is unavailable for the part of the configuration that runs through
position.

3.5 Intangibles, Rent, and Infrastructure

Haskel and Westlake analyze the rise of intangible investment and identify
properties distinguishing it from tangible investment, including scalability,
sunkenness, spillovers, and synergies (Haskel & Westlake, 2018). Scalability
and synergies bear on the paper’s cumulative-advantage results, since both
describe returns that grow with existing holdings.

Birch analyzes rentiership, in which value is appropriated through ownership and
control rights rather than commodity production (Birch, 2020).
Srnicek analyzes platforms as intermediary positions with control over the data
their mediation generates (Srnicek, 2017), and Khan analyzes
structural market power that a price-centered antitrust standard fails to
capture (Khan, 2017). Frischmann analyzes infrastructure whose value
lies in the downstream activity it enables (Frischmann, 2012),
and Boyle analyzes the extension of property rights over intangibles
(Boyle, 2003).

These supply the vocabulary for control exercised through position rather than
through holdings. None addresses a capacity that its holder retains while losing
the conditions of its expansion.

3.6 Contributed Input and Collective Production

Terranova analyzes activity freely given and simultaneously appropriated
(Terranova, 2000); Couldry and Mejias analyze extraction organized as a
colonial structure (Couldry & Mejias, 2019); and Benkler analyzes production
without proprietary exclusion or managerial direction (Benkler, 2006).
Romer’s treatment of ideas as nonrival and partially excludable supplies the
property from which the paper’s rivalry thesis departs
(Romer, 1990).

Table 1 records what each supplies and withholds.

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Tradition	What it supplies	Constraint imposed here
Means of production (Marx, 1992)	The invariant: control of realization governs the potential	Its apparatus assumes control of exercise, which does not obtain here
Property relations (Roemer, 1982; Cohen, 1979)	Exploitation without a value substance	Required, since no conserved quantity is transferred
General intellect (Marx, 1973)	Productive power in collective knowledge	Locates the difficulty; supplies no units
Forms of capital (Bourdieu, 1986)	Heterogeneous capitals and socially set conversion rates	Principal construction; applied to a target it did not address
Cumulative advantage (Merton, 3810)	Recognition compounding through ordinary mechanisms	Establishes that intent is unnecessary for the dynamic
Positional goods (Hirsch, 1976)	Value deriving from relative standing	Supply expansion is unavailable for positional conditions
Intangibles (Haskel & Westlake, 2018)	Scalability, sunkenness, spillovers, synergies	Returns growing with holdings; no account of foreclosed holders
Rent and platforms (Birch, 2020; Srnicek, 2017; Khan, 2017)	Control through position rather than holdings	Vocabulary only; no account of retained capacity
Infrastructure and enclosure (Frischmann, 2012; Boyle, 2003)	Value in what a resource enables; rights extension over intangibles	The present mechanism requires no new right
Contributed input (Terranova, 2000; Couldry & Mejias, 2019; Benkler, 2006)	Distributed contribution meeting narrow capture	Establishes the pattern; leaves the expansion question open
Non-rivalry (Romer, 1990)	Ideas as nonrival, partially excludable	The property from which the rivalry thesis departs
Structural limitation (Zwolinski, 2012)	Background does not settle a transaction	Asymmetric control does not make a transaction exploitative

Table. Political-Economy Traditions Engaged. No tradition reviewed addresses a
capacity whose holder retains it while losing the conditions of its expansion.
The third column records the constraint each imposes.

4. Conversion, Accumulation, and Position

This section argues the six theses on which the paper depends. Each subsection
states a thesis, argues for it, states the strongest objection known to the
author, and replies.

4.1 Control of Expansion Rather Than Exercise

Control of realization conditions for a generative capacity governs expansion
while leaving exercise intact. The affected participant therefore retains and
uses the capacity and need stand in no relation to the controlling party.

The argument is given in Section 3 and is formalized as
Proposition ?. Its significance is methodological. Every
account that locates exploitation in a transaction, a contract, or an
employment relation is looking at an object that need not exist in this
configuration, and the evidentiary anchors those accounts rely on are
unavailable.

The strongest objection is that expansion conditions are simply exercise
conditions at a longer time horizon, so the distinction collapses: a researcher
without funding cannot exercise the capacity either, in any meaningful sense.
The reply concedes that the boundary is not sharp and denies that it therefore
vanishes. The relevant test is whether the capacity can be exercised at all
outside the controller’s process. A worker without access to the factory cannot
work; a researcher without funding can still think, write, teach, and publish at
small scale. Where that residual is genuinely zero the configuration approaches
the classical one, and the paper’s analysis converges with the classical account
rather than competing with it.

4.2 Rivalry in Expansion

A generative capacity is non-rival in possession and rival in expansion. Two
holders do not diminish one another by holding it, and they cannot both expand
it, because expansion runs through scarce and positional conditions.

The argument proceeds from what expansion requires. To expand a capacity is to
develop it, scale it, have it taken up, and establish it as a trajectory. Each
of these requires conditions: time, funding, collaborators, venues, attention.
Some of those conditions are consumed by use and some are positional. Where the
condition is positional, two holders are in direct conflict by construction,
since priority in a line of work and recognition as its source cannot be held by
both.

The thesis explains why the researcher’s formulation is exactly right: one
party’s expansion of a capacity can render another party’s expansion of the same
capacity infeasible, even though the capacity itself was never scarce and
remains fully in both parties’ possession.

The strongest objection is that this describes ordinary competition, which is
not obviously objectionable and which the framework is elsewhere at pains to
exclude. The reply accepts the description and denies the inference. The thesis
is a structural claim about where conflict is located, not a normative claim
that the conflict is wrongful. Whether an instance is exploitation requires the
companion diagnostic’s further conditions, and the paper repeats the constraint
against inferring a classification from a structural feature
(Zwolinski, 2012).

4.3 Conditions Form a Conversion Network

Realization conditions are heterogeneous and inter-convertible at rates
determined institutionally rather than technically. What matters for expansion
is position in the conversion network rather than any single holding.

The argument is that the conditions are obtained through one another in
practice. Funding purchases compute and time; compute and time yield results;
results yield recognition; recognition yields funding, collaborators, and
institutional position. Bourdieu’s analysis of capital forms and their
convertibility describes exactly this structure and emphasizes that conversion
requires transformation work and occurs at socially determined rates
(Bourdieu, 1986).

Two consequences follow. A participant rich in one condition and unable to
convert is not advantaged, which is why an isolated grant to a party without
institutional position frequently accomplishes little. And the rates are policy
variables rather than natural constants, which is where
Thesis ? locates the available remedial handle.

The strongest objection is that conversion rates are not well defined, since the
conditions are incommensurable and no exchange rate exists between recognition
and compute. The reply concedes that no scalar rate exists and denies that the
network requires one. What the construction requires is that some quantity of
one condition can be transformed into some quantity of another under stated
institutional arrangements, which is an ordinal and highly context-dependent
relation rather than a price. Section 8 records the measurement
problem as unresolved.

4.4 Cumulative Advantage Without Intent

Conversion together with reinvestment produces cumulative advantage
endogenously. An initial asymmetry widens through ordinary institutional
operation, with no intention to exclude anywhere in the mechanism.

The argument is formalized as Proposition ? and is
straightforward: where returns to expansion are non-decreasing in holdings and
returns are reinvested, the ratio of holdings does not fall, and where returns
are increasing in holdings it rises. The intangible-investment literature
identifies scalability and synergies as characteristic properties
(Haskel & Westlake, 2018), both of which supply the required monotonicity, and
Merton’s analysis establishes that the recognition channel operates through
ordinary institutional mechanisms rather than through anyone’s decision to
disadvantage anyone (Merton, 3810).

Wollner’s analysis of exploitation that is non-individual, non-agential, and
structural is the closest verified treatment of a wrong arising without anyone
performing it (Wollner, 2019), and it is the category into which an
intent-free cumulative dynamic falls if it is a wrong at all.

The thesis has a consequence the paper regards as important and uncomfortable.
The student-and-professor case is a cumulative-advantage case before it is a
case of bad faith, and it would arise between two entirely scrupulous parties.
This makes the configuration harder to address rather than easier, since a
remedy directed at conduct will find no conduct to correct, and it is a reason
to resist the natural narrative in which such cases are stories about a
wrongdoer.

The strongest objection is that this exculpates parties who do in fact act
badly, and that presenting the structure as intent-free is politically
convenient for those advantaged by it. The reply is that the thesis establishes
sufficiency and not necessity: the mechanism operates without intent, and
nothing follows about whether intent is present in any case. Where a party
does act to foreclose another, that is a further fact with further consequences,
and the companion projects treat intention as a separate variable throughout.

4.5 Positional Conditions Are Non-Distributable

Positional conditions cannot be distributed. A purely distributive remedy is
therefore structurally partial, and a complete response must alter conversion
rates or positional structure rather than reallocating holdings.

The argument is Proposition ? and is elementary: a
positional condition assigns a rank, ranks are exhaustive over the population,
and no reallocation raises everyone’s rank. Hirsch’s analysis establishes that
this is a general feature of goods whose value derives from relative standing
(Hirsch, 1976).

The consequence for remedy is substantial. Increasing the supply of funding,
compute, or training is available and can matter. Increasing the supply of
priority is incoherent. A response confined to distributing holdings therefore
addresses part of the configuration and leaves the positional part untouched,
and a response reaching the positional part must change how position is
assigned, how much it converts into, or how much depends on it.

The strongest objection is that positional conditions are less important than
the paper suggests, since what participants ultimately need is resources and
recognition is a proxy. The reply is that the conversion network makes the
distinction unstable: recognition is not merely a proxy for resources but a
route to them, so a participant deprived of position is deprived of the
conversions that position enables. Whether the positional channel dominates is
an empirical question the paper does not settle.

4.6 What Accumulates

What accumulates in this configuration is position in a conversion network
rather than a stock of value. No value-theoretic accounting of the advantage is
available, since no conserved substance is transferred.

The argument is that each element of the classical accounting fails here.
Nothing leaves the affected participant’s possession. No quantity is conserved
across the configuration. The advantage the benefiting party holds is
constituted by its position in a network of convertible conditions, and that
position is relational rather than substantival.

Anderson’s argument that egalitarian justice concerns the character of social
relations in place of a purely distributive criterion bears on this directly
(Anderson, 1999). If what is accumulated is a relational standing
rather than a holding, then a distributive accounting is looking for the wrong
kind of object, and an evaluation attending to relations is better suited to it.
The paper draws no further conclusion from this, since Anderson’s account is
addressed to equality rather than to accumulation.

Cohen’s argument that the exploitation charge survives removal of the labor
theory of value is what makes this tolerable rather than fatal
(Cohen, 1979), and Roemer’s asset-based reconstruction shows that a
usable account can be built on holdings and counterfactual comparison without a
value substance (Roemer, 1982).

The strongest objection is that without an accounting there is no way to say how
much advantage was obtained, which leaves the analysis unable to support any
remedy proportionate to a gain. The reply concedes the difficulty and locates
it precisely: the companion identification project establishes that magnitude
frequently remains unidentified while existence is supported, and the same
asymmetry applies here. What follows is that proportionate compensation is
unavailable, and that responses must be structural rather than compensatory.

4.7 Dependence of the Framework on the Six Theses

Rejecting Thesis ? returns the analysis to the classical
template and makes the configuration a variant of employment, which the absence
of any relation between the parties contradicts. Rejecting
Thesis ? makes non-rivality dissolve the conflict, which the
positional conditions contradict. Rejecting Thesis ? leaves
the conditions as an unstructured list and removes the mechanism of
accumulation. Rejecting Thesis ? requires intent to explain
widening asymmetry, which the motivating cases do not supply. Rejecting
Thesis ? restores distribution as a complete remedy, which the
exhaustiveness of ranks contradicts. Rejecting Thesis ? restores a
value accounting, which would be welcome and which the paper argues is
unavailable.

Theses ? and ? are load-bearing.
Thesis ? is the most contestable, since the intent-free
framing is politically consequential and the paper’s reply rests on a
sufficiency-necessity distinction a reader may find too convenient. Every
proposition below survives the rejection of all six.

5. Formal Results

This section supplies the paper’s formal content. Its objective is to state
three claims precisely: that exercise and expansion are independent, that
conversion with reinvestment compounds, and that positional conditions cannot be
distributed.

5.1 Declared Objects

Let a participant hold a generative organization $G$ and a vector of realization
conditions $h\in\R_{\geq0}^{m}$ over condition types $c_1,\dots,c_m$. Let
$\Ee(G,h)$ denote the participant’s expansion outcome over a declared period:
the extent to which the capacity develops, scales, and is taken up. The
companion diagnostic represents the corresponding object as a set of reachable
trajectories rather than a scalar, following the distinction between what a
participant achieves and what it is positioned to achieve
(Sen, 1993); the scalar used here is a deliberate simplification
adopted for the monotonicity argument, and Section 8 records that
whether expansion admits any defensible aggregation is unresolved
(Robeyns, 2005). Let a subset
$\Pp\subseteq{1,\dots,m}$ index positional condition types, for which the
holding is a rank within the population rather than a quantity.

Let $\Theta$ be a conversion structure: a relation specifying, for condition
types $i$ and $j$, what quantity of $j$ can be obtained from a quantity of $i$
under the prevailing institutional arrangements. $\Theta$ is a policy-dependent
object and is not assumed to be a matrix of scalars.

5.2 Exercise and Expansion Are Independent

There exist condition profiles $h$ and $h’$ such that a participant’s permission
and physical ability to exercise $G$ are identical under both, while
$\Ee(G,h’)<\Ee(G,h)$.

Exercise requires the participant to possess $G$ and to be permitted to apply
it. Expansion additionally requires condition types that exercise does not, for
instance funding or a venue. Take $h’$ agreeing with $h$ on possession and
permission and differing on such a type. Exercise is unchanged by construction
and expansion falls with the withdrawn type.

The result is immediate once expansion and exercise are distinguished, and its
importance lies in what it licenses. It establishes that a configuration can
exist in which the affected participant is fully able to use its capacity, is
party to no transaction, and is materially worse positioned. The companion
diagnostic’s comparison is the only route to detecting it, and instruments
examining permissions or contracts detect nothing.

This is the participant-level counterpart of a result the companion commons
project states for practices, and the two share a structure: what contracts is a
reachable set, and what is examined by standard instruments is a permission.

5.3 Conversion With Reinvestment Compounds

Expansion returns are non-decreasing in holdings: $h\leq h’$ componentwise
implies $\Ee(G,h)\leq\Ee(G,h’)$. A fixed share $\rho\in(0,1]$ of expansion
outcome is reinvested into holdings through $\Theta$, so that
$h_{t+1}=h_t+\rho,\Theta!\left[\Ee(G,h_t)\right]$, where
$\Theta[\cdot]$ denotes the holdings obtainable from the outcome under the
prevailing conversion structure and is non-decreasing in its argument.

Under Assumption ?, let two participants hold the same $G$ with
$h_A(0)\leq h_B(0)$ componentwise. Then $h_A(t)\leq h_B(t)$ componentwise for
every $t$. If in addition $\Theta[\Ee(G,\cdot)]$ is strictly increasing in the
relevant range and $h_A(0)\neq h_B(0)$, the componentwise difference
$h_B(t)-h_A(t)$ is non-decreasing in $t$ and strictly increasing in at least one
component.

By induction. The base case is the hypothesis. Suppose $h_A(t)\leq h_B(t)$.
Monotonicity of $\Ee$ gives $\Ee(G,h_A(t))\leq\Ee(G,h_B(t))$, and monotonicity
of $\Theta[\cdot]$ preserves the order, so the increments satisfy
$\rho,\Theta[\Ee(G,h_A(t))]\leq\rho,\Theta[\Ee(G,h_B(t))]$. Adding these to
the ordered holdings preserves the order, giving $h_A(t+1)\leq h_B(t+1)$. For
the second statement, the increments are strictly ordered in at least one
component under strict monotonicity, so the difference grows there.

The proposition contains no agent, no decision, and no intention. It states that
an initial asymmetry between two holders of the same capacity does not close and
generally widens, given only that returns rise with holdings and that returns
are reinvested. Both conditions are ordinary features of the settings at issue,
and the intangible-investment literature identifies the first as characteristic
(Haskel & Westlake, 2018).

5.4 Positional Conditions Cannot Be Distributed

Let $i\in\Pp$ be a positional condition type assigning each of $n$ participants a
distinct rank in ${1,\dots,n}$. Then no reallocation improves the rank of every
participant, and the sum of ranks is invariant under reallocation.

The ranks form a permutation of ${1,\dots,n}$ under any allocation, so their
sum is $n(n+1)/2$ regardless of allocation. If every participant’s rank
improved, the sum would strictly decrease, contradicting invariance.

The result is trivial arithmetic and is included because the remedial move it
blocks is widely proposed. Expanding the supply of a positional condition is not
difficult; it is incoherent. Whatever is expanded when more prizes, more titles,
or more recognized positions are created is a different condition, and whether
it converts at the same rate is an empirical question that the creation of the
new positions itself alters.

Where expansion depends on both non-positional and positional condition types, a
remedy confined to reallocating holdings addresses the non-positional dependence
only.

6. The Student-and-Professor Structure and Countermodels

This section states the motivating structure formally and supplies cases
discriminating the paper’s claims. The structure is schematic and classifies no
actual episode.

6.1 Three Phases

The researcher’s case decomposes into three phases, and the decomposition
clarifies which of the paper’s claims each phase engages.

Acquisition. One party comes to hold the generative organization another
party holds. This phase is non-rival by construction: the originator loses
nothing, and Thesis ? is not yet engaged.

Condition asymmetry. The acquiring party possesses conditions the
originator lacks, and can convert among them. This engages
Theses ? and ?, and requires no action
directed at the originator.

Foreclosure. The acquiring party’s expansion occupies positional
conditions, and the originator’s expansion of the same capacity becomes
infeasible. This engages Theses ? and ?, and it
is the phase the researcher identified as carrying the weight.

The decomposition shows that the configuration requires no wrongful act at any
phase. Acquisition may be legitimate learning; condition asymmetry may be
inherited; and foreclosure may be an unintended consequence of ordinary
expansion.

6.2 Countermodels

A participant retains the capacity, the permission, and the physical means to
apply it, and loses funding, collaborators, and priority. Every
transaction-based and permission-based instrument returns nothing, and
Proposition ? applies. This is the paper’s basic case.

Two participants hold the same capacity with equal conditions and equal
conversion access, and both expand. Non-rivality in possession and rivalry in
expansion coexist without foreclosure, since the positional conditions at issue
are not exhausted at the relevant scale. A cyclic reading in which non-rivality
is taken to guarantee this outcome is thereby refuted, since the outcome depends
on the positional supply and not on the non-rivality.

A participant receives funding while lacking the institutional position required
to convert it into collaborators, venues, or recognition. Holdings rise in one
component and expansion does not. This establishes that
Thesis ? is doing work: an unstructured account treating
conditions as a single resource predicts an improvement that does not occur.

Non-positional conditions are equalized across a population while positional
conditions remain as they were. Expansion improves for the previously deprived
and the ranking is unchanged, so foreclosure running through position persists.
This is Corollary ?.

Countermodels ? and ? together state the
paper’s practical claim: the instruments that would detect the configuration
examine the wrong objects, and the remedy that would address it reaches only
part.

7. Open Questions

This section collects unresolved questions by register. The project is the least
developed branch of its research programme, and the list is correspondingly
long.

7.1 Conceptual and Formal Questions

Thesis ? requires that conditions be inter-convertible and
concedes that no scalar rate exists. What ordinal or partial structure
adequately represents conversion, and can it be estimated for any actual
setting?

Thesis ? concedes that the boundary is not sharp. What
determines where it falls in a given setting, and does the classical account
apply as the residual exercise capacity approaches zero?

Proposition ? concerns a fixed ranking over a fixed
population. Creating new recognized positions changes the population of
positions rather than the ranking. What is the relation between the two, and
under what conditions does creating positions relieve foreclosure rather than
relocating it?

Expansion depends on several condition types with different behavior. Is any
aggregation defensible, or must expansion be reported as a profile in the manner
the companion diagnostic requires for capability?

7.2 Political-Economic Questions

Thesis ? holds that position accumulates. Positions are relational,
so accumulation of position is accumulation of a relation. What account of
accumulation is adequate to that object, and does it connect to any existing
theory of accumulation?

Conversion rates are institutionally set. Which institutions set which rates,
how are they changed, and what would altering them require of the parties who
benefit from the current rates?

The paper claims no replacement of labor exploitation. Where both operate on the
same participants, how do they interact, and does control of expansion
conditions substitute for or compound control of exercise conditions?

7.3 Normative and Empirical Questions

Thesis ? establishes that the configuration arises without
intent. What response is appropriate to a structural dynamic with no wrongful
act, and does forward-looking structural responsibility
(Young, 2006) supply the right form?

No case is examined here. What would a study establishing the conversion
network, the reinvestment channel, and the positional foreclosure in a single
setting require, and does any domain supply the necessary records?

No empirical claim is made in this paper. The priority questions are whether the
conversion network can be characterized in any domain, whether the reinvestment
channel can be observed rather than assumed, and whether a case exists in which
exercise was demonstrably preserved while expansion was demonstrably foreclosed.

8. Limits and Revisable Research Program

This section consolidates the contribution, states the defeat conditions, and
records the project’s development status.

8.1 Contribution

The conceptual contribution is the exercise-expansion separation and its
consequence that the affected participant need stand in no relation to the
controlling party, together with the statement of non-rivality in possession
alongside rivalry in expansion.

The structural contribution is the conversion-network account of realization
conditions and the identification of position in that network as what
accumulates.

The formal contribution is elementary: exercise-expansion independence, the
non-closing gap under monotone returns and reinvestment, and the
non-distributability of positional conditions with its corollary on the
partiality of distributive remedy.

The paper claims no replacement of labor exploitation by generativity
exploitation, attributes the repository’s concept to no political-economic
ancestor, proposes no policy, and classifies no firm, sector, or institution.

8.2 Defeat Conditions

The conceptual contribution loses support if the exercise-expansion boundary
proves undrawable in every realistic setting, which would return the analysis to
the classical template.

The structural contribution loses support if conversion cannot be represented
even ordinally, since the network would then be a metaphor rather than a
construction.

The formal contribution loses support if returns to expansion prove decreasing
in holdings over the relevant range, which would reverse
Proposition ?; the paper assumes monotonicity rather than
establishing it, and the assumption is the result’s whole content.

The political-economic ambition loses support if the configuration turns out to
be adequately described by existing accounts of market power, rent, or
cumulative advantage without the expansion vocabulary, in which case the correct
conclusion is that the phenomenon has a name already.

8.3 Development Status and Deferred Questions

This project is recorded in its research programme as the least developed
nonlegal branch, and the manuscript is a first structural treatment rather than
a completed political economy. It supplies no comparative evidence, and the
verified corpus covers antecedents rather than the empirical claims a mature
version would require.

The diagnostic question remains with the companion capability project, which
supplies standing, comparison, and benefit-through conditions that the mechanism
described here does not. Propagation, identification, closed configurations, and
the commons object remain with four further companion projects. Legal
translation remains outside the programme’s developed portion.

The resulting position is conservative. A structural invariant does survive the
change of object: whoever controls what a productive potential requires is
positioned to govern its realization. What changes is that the potential is
retained by its holder throughout, that the holder need meet the controller
nowhere, that the conflict between holders is located in conditions rather than
in the capacity, and that the advantage which results is a position rather than
a stock. Whether any of this amounts to exploitation is a question this paper
deliberately does not answer.

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