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arxiv: 2605.21656 · v1 · pith:RIBQNHBZnew · submitted 2026-05-20 · 💰 econ.TH

Why Efficient Reforms Fail: Endogenous Game Transformation under Status Quo Bias and Social Preferences

Madjid Eshaghi Gordji , Mohammadali Berahman , Hasti Eshaghi This is my paper

Pith reviewed 2026-05-22 08:09 UTC · model grok-4.3

classification 💰 econ.TH
keywords game transformationstatus quo biasquantal response equilibriumcoordination gamessocial preferencesinstitutional reformswitching costs
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The pith

Finite taxes leave residual use of inferior actions in coordination games, while deleting the actions removes them entirely despite switching costs.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper models players who select not only actions inside a game but also how to transform the game itself, either softly by taxes and subsidies or hard by deleting or replacing actions. In a coordination setting where players incur a switching cost to change actions and choose according to logit quantal response, soft changes produce only gradual shifts in probabilities and never drive the old action to zero probability. Hard changes succeed because they remove the inferior action from the feasible set, so it cannot be chosen at all. The model also shows that players can hold antagonistic preferences over which transformation occurs, causing them to block a reform even when every player would be better off after the change.

Core claim

Agents choose game transformations endogenously. Soft transformations via finite taxes or subsidies produce only continuous shifts in quantal response probabilities and leave positive probability on the status-quo action. Hard transformations that delete the inferior action from the action set remove it from the support of equilibrium play, thereby achieving the efficient coordination outcome despite the switching cost. When players have antagonistic preferences over which transformation occurs, a Pareto-improving reform may be blocked at the meta stage.

What carries the argument

Endogenous selection between soft payoff transformations and hard feasibility transformations, evaluated inside logit quantal response equilibrium with an explicit switching cost.

If this is right

  • Finite taxes reduce but never eliminate use of the inherited action.
  • Deleting an action achieves complete removal of its use in equilibrium.
  • Antagonistic meta-preferences can block reforms that would raise every player's payoff.
  • Hard feasibility rules therefore dominate soft price incentives when inertia is present.
  • The same logic applies to climate policy and platform regulation.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Real-world policy experiments could test whether removing options produces larger behavioral shifts than taxing them.
  • The framework could be extended to settings with learning or repeated interaction to check robustness of the soft-hard distinction.
  • Different degrees of antagonism in social preferences could be calibrated to predict when blocking occurs in specific institutions.

Load-bearing premise

Status-quo bias is represented by a fixed switching cost and play follows logit quantal response equilibrium.

What would settle it

Run a laboratory coordination game with switching costs; compare the frequency of efficient play under a finite tax on the bad action versus outright removal of that action from the choice set.

Figures

Figures reproduced from arXiv: 2605.21656 by Hasti Eshaghi, Madjid Eshaghi Gordji, Mohammadali Berahman.

Figure 1
Figure 1. Figure 1: Equilibrium probability of status quo as a function of tax. [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
read the original abstract

Why do societies remain stuck in inferior institutions even when superior al ternatives are widely recognized? This paper develops a model in which agents choose not only actions within a game but also transformations of the game it self. Transformations may be soft, changing payoffs through taxes or subsidies, or hard, changing feasibility through deletion or replacement of actions. Within a coordination model with status-quo bias (switching cost) and boundedly rational play (logit quantal response), we show that these interventions are qualitatively different: finite taxes shift behavior continuously but cannot eliminate residual use of the inherited action, whereas deletion bypasses inertia by removing the action from the feasible set. We further characterize how antagonistic social preferences at the meta level can block reforms that are individually beneficial for every player. The framework provides a formal rationale for why hard feasibility restrictions of ten dominate soft price incentives under inertia, with direct applications to climate transition (carbon tax vs. fossil-fuel phase-out) and platform regulation (fines vs. deletion of addictive features).

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 3 minor

Summary. The paper models endogenous choice of game transformations in a coordination game with status-quo bias (additive switching costs) and logit quantal response equilibrium. Agents select soft interventions (finite taxes/subsidies that shift payoffs continuously) or hard interventions (deletion or replacement of actions that alter the feasible set). The central claims are that finite taxes produce continuous shifts but leave positive residual probability on the inherited action due to the full-support property of logit QRE, while deletion bypasses inertia by removing the action entirely; additionally, antagonistic social preferences at the meta level can induce coordination failure on individually Pareto-improving transformations.

Significance. If the equilibrium characterizations and comparative statics hold, the paper supplies a clean formal distinction between price-based and feasibility-based reforms under inertia, with direct implications for policy design in settings such as carbon taxation versus phase-outs or platform regulation. The integration of meta-level social preferences with status-quo bias is a useful extension of existing QRE and coordination models.

major comments (2)
  1. §3, Proposition 1: the statement that any finite tax leaves strictly positive probability on the status-quo action follows immediately from the logit QRE formula once the switching cost is additive and finite; however, the paper should explicitly derive the limit as the tax approaches the threshold that equalizes payoffs and confirm that the residual probability vanishes only in the limit, not at any finite value.
  2. §4.2, Eq. (12): the meta-level game with antagonistic social preferences is defined via a linear combination of own and others' payoffs; the claim that this can block a Pareto-improving transformation requires showing that the meta-level QRE places zero probability on the jointly beneficial transformation for some parameter region, which should be stated as an explicit condition on the antagonism parameter rather than left implicit.
minor comments (3)
  1. Abstract: 'al ternatives' contains a typographical space; correct to 'alternatives'.
  2. Notation: the switching cost is introduced as c in the main text but appears as κ in some equilibrium expressions; standardize the symbol throughout.
  3. Figure 2: the horizontal axis label 'tax level' should specify whether it is the absolute tax or the normalized deviation from the payoff-equalizing level.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the thoughtful and constructive comments on our manuscript. We have carefully addressed each of the major comments and made the corresponding revisions to improve the clarity and rigor of the paper.

read point-by-point responses

  1. Referee: §3, Proposition 1: the statement that any finite tax leaves strictly positive probability on the status-quo action follows immediately from the logit QRE formula once the switching cost is additive and finite; however, the paper should explicitly derive the limit as the tax approaches the threshold that equalizes payoffs and confirm that the residual probability vanishes only in the limit, not at any finite value.

    Authors: We appreciate this suggestion. Upon review, we agree that explicitly deriving the limiting behavior enhances the presentation. In the revised version, we have included a detailed derivation in the proof of Proposition 1 showing that the equilibrium probability on the status-quo action is strictly positive for any finite tax and approaches zero only as the tax reaches the exact threshold that equalizes the payoffs. This confirms the continuous but incomplete shift under soft interventions. revision: yes

  2. Referee: §4.2, Eq. (12): the meta-level game with antagonistic social preferences is defined via a linear combination of own and others' payoffs; the claim that this can block a Pareto-improving transformation requires showing that the meta-level QRE places zero probability on the jointly beneficial transformation for some parameter region, which should be stated as an explicit condition on the antagonism parameter rather than left implicit.

    Authors: We concur that making the condition explicit will strengthen the result. We have revised Section 4.2 to include an explicit characterization: for antagonism parameters exceeding a derived threshold (now stated as a function of the payoff differences and the quantal response parameter), the meta-level QRE assigns zero probability to the beneficial transformation. This is formalized in a new corollary following Equation (12). revision: yes

Circularity Check

0 steps flagged

Derivations self-contained from explicit assumptions

full rationale

The paper defines a coordination game with additive switching costs and logit quantal response equilibrium, then derives the qualitative distinction between finite taxes (which preserve full support on the status-quo action) and action deletion (which removes the action from the choice set) directly from those functional forms and the equilibrium condition. Meta-level social preferences are introduced as an explicit extension of the same payoff structure. No equation reduces to a fitted parameter renamed as a prediction, no self-citation supplies a load-bearing uniqueness result, and no ansatz is smuggled in; all comparative statics follow from the stated primitives without circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on the modeling choices of logit quantal response equilibrium and switching costs as the representation of status-quo bias; no free parameters or invented entities are introduced in the abstract.

axioms (2)
  • domain assumption Play follows logit quantal response equilibrium
    Used to capture bounded rationality in the coordination game.
  • domain assumption Status-quo bias is represented by a switching cost
    Central modeling choice that generates inertia against changing actions.

pith-pipeline@v0.9.0 · 5716 in / 1320 out tokens · 54026 ms · 2026-05-22T08:09:00.442014+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    Within a coordination model with status-quo bias (switching cost) and boundedly rational play (logit quantal response), we show that these interventions are qualitatively different: finite taxes shift behavior continuously but cannot eliminate residual use of the inherited action, whereas deletion bypasses inertia by removing the action from the feasible set.

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matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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