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Rationing Rules and Stable Coalition Structures

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  • Gallo Fernández, Ohiane
  • Iñarra García, Elena

Abstract

We consider a coalition formation model in which agents have the possibility of forming part of several coalitions but are limited to participate in only one of them. Coalitions of agents produce outputs to be distributed among their members according to their aspirations and to a rationing rule prevailing in society. The outcome of such a process is a hedonic game. Using monotonicity and consistency we characterize the continuous rationing rules that induce core-stable hedonic games.

Suggested Citation

  • Gallo Fernández, Ohiane & Iñarra García, Elena, 2016. "Rationing Rules and Stable Coalition Structures," IKERLANAK Ikerlanak;2016-100, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:19435
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    File URL: https://addi.ehu.es/handle/10810/19435
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/87 is not listed on IDEAS
    2. Hakan İnal, 2015. "Core of coalition formation games and fixed-point methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 745-763, December.
    3. Stovall, John E., 2014. "Asymmetric parametric division rules," Games and Economic Behavior, Elsevier, vol. 84(C), pages 87-110.
    4. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 667-692, December.
    5. Karakaya, Mehmet, 2011. "Hedonic coalition formation games: A new stability notion," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 157-165, May.
    6. Barberà, Salvador & Beviá, Carmen & Ponsatí, Clara, 2015. "Meritocracy, egalitarianism and the stability of majoritarian organizations," Games and Economic Behavior, Elsevier, vol. 91(C), pages 237-257.
    7. Marek Pycia, 2012. "Stability and Preference Alignment in Matching and Coalition Formation," Econometrica, Econometric Society, vol. 80(1), pages 323-362, January.
    8. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    9. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    10. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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    More about this item

    Keywords

    hedonic; games; rationing; problems; core; satbility;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

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