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Regular Population Monotonic Allocation Schemes and the Core

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  • Josep Maria Izquierdo Aznar

    (Universitat de Barcelona)

Abstract

A subclass of games with population monotonic allocation schemes is studied, namely games with regular population monotonic allocation schemes (rpmas). We focus on the properties of these games and we prove the coincidence between the core and both the Davis-Maschler bargaining set and the Mas-Colell bargaining set.

Suggested Citation

  • Josep Maria Izquierdo Aznar, 2003. "Regular Population Monotonic Allocation Schemes and the Core," Working Papers in Economics 110, Universitat de Barcelona. Espai de Recerca en Economia.
  • Handle: RePEc:bar:bedcje:2003110
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    References listed on IDEAS

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    1. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
    2. Slikker, M. & Norde, H.W. & Tijs, S.H., 2000. "Information Sharing Games," Discussion Paper 2000-100, Tilburg University, Center for Economic Research.
    3. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    4. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
    5. Marco Slikker, 2000. "Inheritance of properties in communication situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 241-268.
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    7. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    8. F. Grafe & E. Iñarra & J. M. Zarzuelo, 1998. "Population monotonic allocation schemes on externality games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(1), pages 71-80, September.
    9. Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 543-553.
    10. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    11. Potters, J.A.M. & Poos, R. & Tijs, S.H. & Muto, S., 1989. "Clan games," Other publications TiSEM 1855e4e3-7392-4ef0-a073-8, Tilburg University, School of Economics and Management.
    12. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September.
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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