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Serial Dictatorship Mechanisms with Reservation Prices

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  • Bettina Klaus
  • Alexandru Nichifor

Abstract

We propose a new set of mechanisms, which we call serial dictatorship mechanisms with reservation prices for the allocation of one indivisible good. We show that a mechanism satisfies minimal tradability, individual rationality, strategy-proofness, consistency, and non wasteful tie-breaking if and only if there exists a reservation price vector and a priority ordering such that the mechanism is a serial dictatorship mechanism with reservation prices. We obtain a second characterization by replacing individual rationality with non-imposition. In both our characterizations the reservation price vector, the priority ordering, and the mechanism are all found simultaneously and endogenously from the properties. In addition, we show that in our model a mechanism satisfies Pareto efficiency, strategy-proofness, and consistency if and only if it is welfare equivalent to a classical serial dictatorship. Finally, we illustrate how the normative requirements governing the functioning of some real life markets and the mechanisms that these markets use are reasonably well captured by our model and results.
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Suggested Citation

  • Bettina Klaus & Alexandru Nichifor, 2019. "Serial Dictatorship Mechanisms with Reservation Prices," Cahiers de Recherches Economiques du Département d'économie 19.04, Université de Lausanne, Faculté des HEC, Département d’économie.
    • Handle: RePEc:lau:crdeep:19.04
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    Cited by:

    1. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2023. "Sequential dictatorship rules in multi-unit objectassignment problems with money," Discussion papers e-23-007, Graduate School of Economics , Kyoto University.
    2. Hiroki Shinozaki, 2022. "Characterizing pairwise strategy-proof rules in object allocation problems with money," ISER Discussion Paper 1187, Institute of Social and Economic Research, The University of Osaka.
    3. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2024. "Sequential dictatorship rules in multi-unit object assignment problems with money," Discussion papers e-23-007-v2, Graduate School of Economics , Kyoto University.
    4. SHINOZAKI, Hiroki, 2024. "Shill-proof rules in object allocation problems with money," Discussion paper series HIAS-E-137, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    5. Bettina Klaus & Alexandru Nichifor, 2021. "Serial dictatorship mechanisms with reservation prices: heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 145-162, July.
    6. Sudharsan Sundar & Eric Gao & Trevor Chow & Matthew Ding, 2023. "Random Serial Dictatorship with Transfers," Papers 2312.07999, arXiv.org.

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    More about this item

    Keywords

    serial dictatorship; individual reservation prices; strategy-proofness; consistency;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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