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Egalitarian-equivalent and strategy-proof mechanisms in homogeneous multi-object allocation problems

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  • Hinata Kurashita
  • Ryosuke Sakai

Abstract

We study the problem of allocating homogeneous and indivisible objects among agents with money. In particular, we investigate the relationship between egalitarian-equivalence (Pazner and Schmeidler, 1978), as a fairness concept, and efficiency under agents' incentive constraints. As a first result, we characterize the class of mechanisms that satisfy egalitarian-equivalence, strategy-proofness, individual rationality, and no subsidy. Our characterization reveals a strong tension between egalitarian-equivalence and efficiency: under these properties, the mechanisms allocate objects only in limited cases. To address this limitation, we replace strategy-proofness with the weaker incentive property, non-obvious manipulability (Troyan and Morrill, 2020). We show that this relaxation allows us to design mechanisms that achieve efficiency while still ensuring egalitarian-equivalence. Furthermore, upon achieving efficiency, we identify the agent optimal mechanism in the characterized class.

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  • Hinata Kurashita & Ryosuke Sakai, 2025. "Egalitarian-equivalent and strategy-proof mechanisms in homogeneous multi-object allocation problems," Papers 2507.09152, arXiv.org.
    • Handle: RePEc:arx:papers:2507.09152
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