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Coalitionally Strategy-Proof Rules in Allotment Economies of Homogeneous Indivisible Goods

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  • Kentaro Hatsumi
  • Shigehiro Serizawa

Abstract

We consider the allotment problem of homogeneous indivisible goods among agents with single-peaked and risk-averse von Neumann-Morgenstern expected utility functions. We establish that a rule satisfies coalitional strategy-proofness, same-sideness, and strong symmetry if and only if it is the uniform probabilistic rule. By constructing an example, we show that if same-sideness is replaced by respect for unanimity, this statement does not hold even with the additional requirements of no-envy, anonymity, at most binary, peaks-onlyness and continuity.

Suggested Citation

  • Kentaro Hatsumi & Shigehiro Serizawa, 2007. "Coalitionally Strategy-Proof Rules in Allotment Economies of Homogeneous Indivisible Goods," ISER Discussion Paper 0686rr, Institute of Social and Economic Research, The University of Osaka, revised Feb 2009.
    • Handle: RePEc:dpr:wpaper:0686rr
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