Preference manipulations lead to the uniform rule

Olivier Bochet, Toyotaka Sakai and William Thomson

Journal of Economic Theory, 2024, vol. 220, issue C

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.

Keywords: Uniform rule; Implementation; Direct revelation mechanisms; Manipulation games; Fair allocation (search for similar items in EconPapers)
JEL-codes: C72 C78 D61 D63 D71 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:220:y:2024:i:c:s0022053124000851

DOI: 10.1016/j.jet.2024.105879

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