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Equivalence between Bargaining Sets and the Core in Simple Games

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  • Einy, Ezra
  • Wettstein, David

Abstract

We investigate the equivalence between several notions of bargaining sets which occur in the literature and the core of simple games.

Suggested Citation

  • Einy, Ezra & Wettstein, David, 1996. "Equivalence between Bargaining Sets and the Core in Simple Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 65-71.
  • Handle: RePEc:spr:jogath:v:25:y:1996:i:1:p:65-71
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    Cited by:

    1. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    2. Josep Maria Izquierdo & Carles Rafels, 2018. "The core and the steady bargaining set for convex games," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 35-54, March.
    3. Michela Chessa & Vito Fragnelli, 2014. "The bargaining set for sharing the power," Annals of Operations Research, Springer, vol. 215(1), pages 49-61, April.
    4. E. Algaba & J.M. Bilbao & J.R. Fernández & A. Jiménez, 2004. "The Lovász Extension of Market Games," Theory and Decision, Springer, vol. 56(1), pages 229-238, April.
    5. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1997. "Core Equivalence Theorems for Infinite Convex Games," Journal of Economic Theory, Elsevier, vol. 76(1), pages 1-12, September.
    6. Jesús Getán & Josep Izquierdo & Jesús Montes & Carles Rafels, 2015. "The bargaining set for almost-convex games," Annals of Operations Research, Springer, vol. 225(1), pages 83-89, February.
    7. Josep Izquierdo & Carles Rafels, 2012. "A characterization of convex TU games by means of the Mas-Colell bargaining set (à la Shimomura)," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 381-395, May.

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