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Generalized externality games

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  • Paula Corcho
  • José Ferreira

Abstract

Externality games are studied in Grafe et al. (1998). We define a generalization of this class of games and show, using the methodology in Izquierdo and Rafels (1996 and 2001), some properties of the new class of generalized externality games. They include, among others, the algebraic structure of the game, convexity, and their implication for the study of cooperative solutions. Also the proportional rule is characterized for this class of games.
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Suggested Citation

  • Paula Corcho & José Ferreira, 2003. "Generalized externality games," Theory and Decision, Springer, vol. 54(2), pages 163-184, March.
    • Handle: RePEc:kap:theord:v:54:y:2003:i:2:p:163-184
    DOI: 10.1023/A:1026256800461
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    References listed on IDEAS

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    1. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
    2. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    3. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    4. S.C. Littlechild & G.F. Thompson, 1977. "Aircraft Landing Fees: A Game Theory Approach," Bell Journal of Economics, The RAND Corporation, vol. 8(1), pages 186-204, Spring.
    5. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    6. Driessen, T.S.H. & Tijs, S.H., 1985. "The t-value, the core and semiconvex games," Other publications TiSEM 016b6b5d-a476-44ca-bd05-7, Tilburg University, School of Economics and Management.
    7. Josep Maria Izquierdo Aznar & Carlos Rafels Pallarola, 1996. "A generalization of the bankruptcy game: financial cooperative games," Working Papers in Economics 9, Universitat de Barcelona. Espai de Recerca en Economia.
    8. Moulin, Herve, 1992. " All Sorry to Disagree: A General Principle for the Provision of Nonrival Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(1), pages 37-51.
    9. 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.
    10. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    11. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
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    Cited by:

    1. Josep Maria Izquierdo & Carlos Rafels, 2020. "Core Allocations in Co-investment Problems," Group Decision and Negotiation, Springer, vol. 29(6), pages 1157-1180, December.

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