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Competitive outcomes and the inner core of NTU market games

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  • Brangewitz, Sonja

    (Center for Mathematical Economics, Bielefeld University)

  • Gamp, Jan-Philip

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We consider the inner core as a solution concept for cooperative games with non- transferable utility (NTU) and its relationship to competitive equilibria of markets that are induced by an NTU game. We investigate the relationship between certain subsets of the inner core for NTU market games and competitive payoff vectors of markets linked to the NTU market game. This can be considered as the case in between the two extreme cases of Qin (1993). We extend the results of Qin (1993) to a large class of closed subsets of the inner core: Given an NTU market game we construct a market depending on a given closed subset of its inner core. This market represents the game and further has the given set as the set of payoffs of competitive equilibria. It turns out that this market is not determined uniquely and thus we obtain a class of markets with the desired property.

Suggested Citation

  • Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Competitive outcomes and the inner core of NTU market games," Center for Mathematical Economics Working Papers 449, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:449
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    File URL: https://pub.uni-bielefeld.de/download/2902163/2902165
    File Function: First Version, 2011
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    References listed on IDEAS

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    1. de Clippel, Geoffroy & Minelli, Enrico, 2005. "Two remarks on the inner core," Games and Economic Behavior, Elsevier, vol. 50(2), pages 143-154, February.
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    Cited by:

    1. Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Center for Mathematical Economics Working Papers 453, Center for Mathematical Economics, Bielefeld University.
    2. Sonja Brangewitz & Jan-Philip Gamp, 2014. "Competitive outcomes and the inner core of NTU market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 529-554, November.
    3. Brangewitz, Sonja & Gamp, Jan-Philip, 2014. "Competitive outcomes and the core of TU market games," Center for Mathematical Economics Working Papers 454, Center for Mathematical Economics, Bielefeld University.

    More about this item

    Keywords

    Market Games; Competitive Payoffs; Inner Core;

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