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Regular Population Monotonic Allocation Schemes and the Core

  • Josep Maria Izquierdo Aznar

    (Universitat de Barcelona)

Registered author(s):

    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.

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    Paper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 110.

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    Length: 20 pages
    Date of creation: 2003
    Date of revision:
    Handle: RePEc:bar:bedcje:2003110
    Contact details of provider: Postal: Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
    Web page: http://www.ere.ub.es

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    1. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September.
    2. repec:ner:tilbur:urn:nbn:nl:ui:12-117078 is not listed on IDEAS
    3. Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer, vol. 29(4), pages 543-553.
    4. 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.
    5. repec:ner:tilbur:urn:nbn:nl:ui:12-154241 is not listed on IDEAS
    6. 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.
    7. F. Grafe & E. Iñarra & J. M. Zarzuelo, 1998. "Population monotonic allocation schemes on externality games," Mathematical Methods of Operations Research, Springer, vol. 48(1), pages 71-80, September.
    8. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    9. Slikker, M. & Norde, H.W. & Tijs, S.H., 2000. "Information Sharing Games," Discussion Paper 2000-100, Tilburg University, Center for Economic Research.
    10. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
    11. repec:spr:compst:v:48:y:1998:i:1:p:71-80 is not listed on IDEAS
    12. repec:dgr:kubcen:2000100 is not listed on IDEAS
    13. Marco Slikker, 2000. "Inheritance of properties in communication situations," International Journal of Game Theory, Springer, vol. 29(2), pages 241-268.
    14. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    15. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
    16. repec:dgr:kubcen:200080 is not listed on IDEAS
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