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On The Existence Of Berge'S Strong Equilibrium

  • MESSAOUD DEGHDAK

    ()

    (Laboratoire de Mathématiques Appliquées et Modélisation, Département de Mathématiques, Université Mentouri, Constantine 25000, Algeria)

  • MONIQUE FLORENZANO

    ()

    (Centre d'Economie de la Sorbone, UMR 8174 CNRS-Université Paris 1, 106–112, Boulevard de l'Hopital 75 647, Paris CEDEX 13, France)

In this paper, we establish the existence of Berge's strong equilibrium for games with n persons in infinite dimensional space in the case where the payoff function of each player is quasi-concave. Moreover, we study the continuity of Berge's strong equilibria correspondence and essential games.

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Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 13 (2011)
Issue (Month): 03 ()
Pages: 325-340

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Handle: RePEc:wsi:igtrxx:v:13:y:2011:i:03:p:325-340
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  1. Yu, Jian, 1999. "Essential equilibria of n-person noncooperative games," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 361-372, April.
  2. Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 313-316, December.
  3. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. Larbani, Moussa & Nessah, Rabia, 2008. "A note on the existence of Berge and Berge-Nash equilibria," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 258-271, March.
  5. Rabia Nessah & Moussa Larbani & Tarik Tazdait, 2009. "On Berge Equilibria," Working Papers 2010-ECO-16, IESEG School of Management.
  6. Yong-Hui Zhou & Jian Yu & Shu-Wen Xiang, 2007. "Essential stability in games with infinitely many pure strategies," International Journal of Game Theory, Springer, vol. 35(4), pages 493-503, April.
  7. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
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