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Preference manipulations lead to the uniform rule

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  • Bochet, Olivier
  • Sakai, Toyotaka
  • Thomson, William

Abstract

For the problem of fully allocating a social endowment of a commodity among a group of agents with single-peaked preferences, we study the consequences of manipulation for several families of rules that are not strategy-proof. Given a rule and a true preference profile, we consider the induced direct revelation game, and characterize its equilibrium allocations in terms of the profile. Our results are unequivocal: for any rule we consider, and for each true preference profile, there is a unique Nash equilibrium allocation. For the profile, it is the allocation of the uniform rule (Sprumont, 1991), the unique strategy-proof, efficient, and symmetric rule in this literature. These conclusions are drawn from two distinct sets of assumptions on the rules.

Suggested Citation

  • Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    • Handle: RePEc:eee:jetheo:v:220:y:2024:i:c:s0022053124000851
    DOI: 10.1016/j.jet.2024.105879
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    Keywords

    Uniform rule; Implementation; Direct revelation mechanisms; Manipulation games; Fair allocation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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