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On strategy-proofness and the salience of single-peakedness in a private goods allotment problem

Author

Listed:
  • Chatterji, Shurojit
  • Massó, Jordi
  • Serizawa, Shigehiro

Abstract

We consider strategy-proof rules operating on a rich domain of preference profiles in a set up where multiple private goods have to be assigned to a set of agents with entitlements and where preferences display satiation. We show that if the rule is in addition tops-only, same-sided and individually rational with respect to the entitlements, then the preferences in the domain have to satisfy a variant of single-peakedness (referred to as multi-dimensional single-peakedness relative to the entitlements). We also provide a converse of this main finding. It turns out that this domain coincides with the one already identified in a general set up with public goods. We relate the domain of multi-dimensional single-peaked preferences relative to the entitlements to well-known restricted domains with private goods under which non-trivial and strategy-proof rules do exist.

Suggested Citation

  • Chatterji, Shurojit & Massó, Jordi & Serizawa, Shigehiro, 2025. "On strategy-proofness and the salience of single-peakedness in a private goods allotment problem," Games and Economic Behavior, Elsevier, vol. 150(C), pages 48-70.
    • Handle: RePEc:eee:gamebe:v:150:y:2025:i:c:p:48-70
    DOI: 10.1016/j.geb.2024.11.017
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    Keywords

    Strategy-proofness; Multi-dimensional single-peakedness;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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