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The Core of Shapley-Scarf markets with couples

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  • Dogan, Onur
  • Laffond, Gilbert
  • Lainé, Jean

Abstract

We extend the Shapley-Scarf model of markets for indivisible goods without money to the case where couples of agents have joint preferences over the set of allocations. We show that the domain of (weakly) lexicographic preferences is maximal (for inclusion) for the existence of Core allocations. This result also holds in the case where the set of agents is partitioned into non-empty coalitions with any size, as well as for the class of markets studied in Konishi et al. (2001), where individuals exchange several types of purely indivisible goods.

Suggested Citation

  • Dogan, Onur & Laffond, Gilbert & Lainé, Jean, 2011. "The Core of Shapley-Scarf markets with couples," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 60-67, January.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:1:p:60-67
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    References listed on IDEAS

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    Cited by:

    1. Satoru Fujishige & Zaifu Yang, 2019. "Markovian Core, Indivisibility, and Successive Pareto-Improvements," Discussion Papers 19/11, Department of Economics, University of York.
    2. Aslan, Fatma & Lainé, Jean, 2020. "Competitive equilibria in Shapley–Scarf markets with couples," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 66-78.
    3. Justin Burkett & Francis X. Flanagan & Amanda L. Griffith, 2018. "Allocating group housing," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(4), pages 581-596, April.
    4. Hong, Miho & Park, Jaeok, 2022. "Core and top trading cycles in a market with indivisible goods and externalities," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    5. Afacan, Mustafa Oğuz & Hu, Gaoji & Li, Jiangtao, 2024. "Housing markets since Shapley and Scarf," Journal of Mathematical Economics, Elsevier, vol. 111(C).

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