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Strategy-proof exchange under trichotomous preferences

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  • Manjunath, Vikram
  • Westkamp, Alexander

Abstract

We study the balanced exchange of indivisible objects without monetary transfers when agents may be endowed with (and consume) more than one object. We propose a natural domain of preferences that we call trichotomous. In this domain, each agent's preference over bundles of objects is responsive to an ordering over objects that has the following three indifference classes, in decreasing order of preferences: desirable objects, objects that she is endowed with but does not consider desirable, and objects that she neither is endowed with nor finds desirable.

Suggested Citation

  • Manjunath, Vikram & Westkamp, Alexander, 2021. "Strategy-proof exchange under trichotomous preferences," Journal of Economic Theory, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:jetheo:v:193:y:2021:i:c:s0022053121000144
    DOI: 10.1016/j.jet.2021.105197
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    Cited by:

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    2. Di Feng & Bettina Klaus & Flip Klijn, 2022. "A Characterization of the Coordinate-Wise Top-Trading-Cycles Mechanism for Multiple-Type Housing Markets," Cahiers de Recherches Economiques du Département d'économie 22.06, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Tong, Huagang & Zhu, Jianjun, 2023. "A parallel approach with the strategy-proof mechanism for large-scale group decision making: An application in industrial internet," European Journal of Operational Research, Elsevier, vol. 311(1), pages 173-195.
    4. Di Feng, 2023. "Endowments-swapping-proofness and Efficiency in Multiple-Type Housing Markets," Discussion Paper Series DP2023-14, Research Institute for Economics & Business Administration, Kobe University.
    5. Di Feng & Bettina Klaus & Flip Klijn, 2022. "Characterizing the Typewise Top-Trading-Cycles Mechanism for Multiple-Type Housing Markets," Working Papers 1341, Barcelona School of Economics.
    6. Di Feng, 2023. "Efficiency in Multiple-Type Housing Markets," Papers 2308.14989, arXiv.org, revised Dec 2023.
    7. Biró, Péter & Klijn, Flip & Pápai, Szilvia, 2022. "Serial Rules in a Multi-Unit Shapley-Scarf Market," Games and Economic Behavior, Elsevier, vol. 136(C), pages 428-453.
    8. Di Feng & Bettina Klaus, 2022. "Preference revelation games and strict cores of multiple‐type housing market problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 61-76, March.
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    10. Han, Xiang, 0. "A theory of fair random allocation under priorities," Theoretical Economics, Econometric Society.
    11. Altuntaş, Açelya & Phan, William & Tamura, Yuki, 2023. "Some characterizations of Generalized Top Trading Cycles," Games and Economic Behavior, Elsevier, vol. 141(C), pages 156-181.

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    More about this item

    Keywords

    Individual rationality; Pareto-efficiency; Strategy-proofness; Indivisible goods; Multi-unit demand;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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