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Divide and compromise

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  • Nicolò, Antonio
  • Velez, Rodrigo A.

Abstract

We introduce two symmetrized versions of the popular divide-and-choose mechanism for the allocation of a collectively owned indivisible good between two agents when monetary compensation is available. Our proposals retain the simplicity of divide-and-choose and correct its ex-post asymmetry. When there is complete information, i.e., agents know each other well, both mechanisms implement in subgame perfect equilibria a unique allocation that would be obtained by a balanced market. The results hold for general continuous preferences that may not be quasi-linear.

Suggested Citation

  • Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    • Handle: RePEc:eee:matsoc:v:90:y:2017:i:c:p:100-110
    DOI: 10.1016/j.mathsocsci.2017.04.004
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    Cited by:

    1. Rodrigo A. Velez, 2017. "Sharing an increase of the rent fairly," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 59-80, January.
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    3. Brown, Alexander L. & Velez, Rodrigo A., 2016. "The costs and benefits of symmetry in common-ownership allocation problems," Games and Economic Behavior, Elsevier, vol. 96(C), pages 115-131.
    4. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    5. Velez, Rodrigo A., 2023. "Equitable rent division on a soft budget," Games and Economic Behavior, Elsevier, vol. 139(C), pages 1-14.

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    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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