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On Strategy-proofness and the Salience of Single-peakedness in a Private Goods Economy

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  • Shurojit Chatterji
  • Jordi Massó
  • Shigehiro Serizawa

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 where preferences display satiation. We show that if the rule is in addition "desirable", in that it is tops-only, continuous, 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 semilattice single-peakedness). 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 a public good. Finally, we relate semilattice single-peaked domains to well-known restricted domains under which strategy-proof and desirable rules do exist.

Suggested Citation

  • Shurojit Chatterji & Jordi Massó & Shigehiro Serizawa, 2020. "On Strategy-proofness and the Salience of Single-peakedness in a Private Goods Economy," ISER Discussion Paper 1112, Institute of Social and Economic Research, Osaka University.
    • Handle: RePEc:dpr:wpaper:1112
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    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2020/DP1112.pdf
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    Cited by:

    1. Rodríguez-Álvarez, Carmelo, 2023. "Maximal domains for strategy-proof pairwise exchange," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 107-118.

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