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Compromises and Rewards: Stable and Non-manipulable Probabilistic Matching

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Can we reconcile stability with non-manipulability in two-sided matching problems by selecting lotteries over matchings? We parameterize, through sets of utility functions, how ordinal preferences induce preferences over lotteries and develop corresponding notions of ex-ante stability and non-manipulability. For most sets, the properties are incompatible. However, for the set of utility functions with increasing differences, stability and non-manipulability characterize Compromises and Rewards. This novel rule is fundamentally different from the one that has attracted most attention in the literature, Deferred Acceptance. We then derive complementary negative results that show that increasing differences essentially is a necessary condition for the properties to be compatible.

Suggested Citation

  • Gudmundsson, Jens, 2015. "Compromises and Rewards: Stable and Non-manipulable Probabilistic Matching," Working Papers 2015:32, Lund University, Department of Economics, revised 19 Oct 2017.
    • Handle: RePEc:hhs:lunewp:2015_032
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    Cited by:

    1. Manjunath, Vikram, 2016. "Fractional matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 321-336.
    2. Alva, Samson & Manjunath, Vikram, 2020. "The impossibility of strategy-proof, Pareto efficient, and individually rational rules for fractional matching," Games and Economic Behavior, Elsevier, vol. 119(C), pages 15-29.
    3. ANDERSSON, Tommy & EHLERS, Lars & MARTINELLO, Alessandro, 2018. "Dynamic refugee matching," Cahiers de recherche 2018-16, Universite de Montreal, Departement de sciences economiques.

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D60 - Microeconomics - - Welfare Economics - - - General

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