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Pareto-optimal matching allocation mechanisms for boundedly rational agents

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  • Sophie Bade

    (University of London
    Max Planck Institute for Research on Collective Goods)

Abstract

Is the Pareto optimality of matching mechanisms robust to the introduction of boundedly rational behavior? To address this question I define a restrictive and a permissive notion of Pareto optimality and consider the large set of hierarchical exchange mechanisms which contains serial dictatorship as well as Gale’s top trading cycles. Fix a housing problem with boundedly rational agents and a hierarchical exchange mechanism. Consider the set of matchings that arise with all possible assignments of agents to initial endowments in the given mechanism. I show that this set is nested between the sets of Pareto optima according to the restrictive and the permissive notion. These containment relations are generally strict, even when deviations from rationality are minimal. In a similar vein, minimal deviations from rationality suffice for the set of outcomes of Gale’s top trading cycles with all possible initial endowments to differ from the set of outcomes of serial dictatorship with all possible orders of agents as dictators.

Suggested Citation

  • Sophie Bade, 2016. "Pareto-optimal matching allocation mechanisms for boundedly rational agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 501-510, October.
    • Handle: RePEc:spr:sochwe:v:47:y:2016:i:3:d:10.1007_s00355-016-0974-z
    DOI: 10.1007/s00355-016-0974-z
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    Cited by:

    1. Aditya Kuvalekar, 2022. "Matching with Incomplete Preferences," Papers 2212.02613, arXiv.org, revised Nov 2023.
    2. Gian Caspari & Manshu Khanna, 2021. "Non-Standard Choice in Matching Markets," Papers 2111.06815, arXiv.org.

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    More about this item

    Keywords

    C78; D03; D60;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D60 - Microeconomics - - Welfare Economics - - - General

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