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Fictitious-Transfers in Cooperative Game Theory

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  • Roger B. Myerson

Abstract

The method of fictitious transfers (or lambda-transfers) is used in cooperative game theory to extend solution concepts from the transferable utility case to the more general case of games without transferable utility. The importance of this idea is examined in the context of the history of its development and some recent results. A new interpretation of the inner core (or lambda-transfer core) is discussed.

Suggested Citation

  • Roger B. Myerson, 1990. "Fictitious-Transfers in Cooperative Game Theory," Discussion Papers 907, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:907
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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/907.pdf
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    References listed on IDEAS

    as
    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    4. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    5. repec:cdl:ucsbec:11-90 is not listed on IDEAS
    6. Roth, Alvin E, 1980. "Values for Games without Sidepayments: Some Difficulties with Current Concepts," Econometrica, Econometric Society, vol. 48(2), pages 457-465, March.
    7. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
    8. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
    9. QIN, Cheng-Zhong, 1990. "The inner core and the strongly inhibitive set," LIDAM Discussion Papers CORE 1990045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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