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Stable and efficient reallocations when preferences are single-dipped

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  • Dietzenbacher, Bas
  • Tamura, Yuki

Abstract

Imagine a group of agents, each being endowed with a share of one unit of an infinitely divisible and non-disposable commodity. Each agent has single-dipped preferences. We characterize the Pareto optimal allocations that satisfy individual rationality or coalitional rationality. In particular, we show that Pareto optimal and individually rational allocations always exist, and we provide a necessary and sufficient condition for non-emptiness of the core.

Suggested Citation

  • Dietzenbacher, Bas & Tamura, Yuki, 2023. "Stable and efficient reallocations when preferences are single-dipped," Economics Letters, Elsevier, vol. 231(C).
    • Handle: RePEc:eee:ecolet:v:231:y:2023:i:c:s016517652300318x
    DOI: 10.1016/j.econlet.2023.111293
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    References listed on IDEAS

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    1. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
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    4. Tamura, Yuki, 2023. "Object reallocation problems with single-dipped preferences," Games and Economic Behavior, Elsevier, vol. 140(C), pages 181-196.
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    8. Agustín Bonifacio, 2015. "Bribe-proof reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 617-638, March.
    9. Ahmed Doghmi, 2013. "Nash Implementation in an Allocation Problem with Single-Dipped Preferences," Games, MDPI, vol. 4(1), pages 1-12, January.
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    13. Lars Ehlers, 2002. "Probabilistic allocation rules and single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 325-348.
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    More about this item

    Keywords

    resource reallocation; single-dipped preferences; Pareto optimality; core;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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