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Duality for General TU-games Redefined

Author

Listed:
  • Aslan, Fatma

    (Center for Mathematical Economics, Bielefeld University)

  • Duman, Papatya

    (Center for Mathematical Economics, Bielefeld University)

  • Trockel, Walter

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We criticize some conceptual weaknesses in the recent literature on coalitional TUgames and propose, based on our critics, a new definition of dual TU-games that coincides with the one in the literature on the class of super-additive games. We justify our new definition in four alternative ways: 1. Via an adequate definition of efficient payoff vectors. 2. Via a modification of the Bondareva-Shapley duality. 3. Via an explicit consideration of \coalition building". 4. Via associating general TU-games to coalition-production economies. Rather than imputations, we base our analysis on a modification of aspirations.

Suggested Citation

  • Aslan, Fatma & Duman, Papatya & Trockel, Walter, 2019. "Duality for General TU-games Redefined," Center for Mathematical Economics Working Papers 620, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:620
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    References listed on IDEAS

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    Cited by:

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    2. Dehez, Pierre, 2023. "Sharing a collective probability of success," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 122-127.

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    More about this item

    Keywords

    TU-games; duality; core; c{Core; cohesive games; complete game efficiency;
    All these keywords.

    JEL classification:

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

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