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Berge equilibrium in discontinuous games

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Języki publikacji
EN
Abstrakty
EN
In this paper we consider some classes of abstract discontinuous games, for which the games possessing essential Berge equilibrium are the generic case. We extend the essential Berge equilibrium result from Deghdak (2014) to general abstract games.
Rocznik
Strony
439--448
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
  • D´epartement de Math´ematiques, Facult´e des Sciences Exactes, Universit´e de Constantine 1, Algeria
Bibliografia
  • 1. Abalo K. and Kostreva M. (2004) Some existence theorems of Nash and Berge equilibria. App. Math. Lett, 17, 569-573.
  • 2. Abalo K. and Kostreva M. (2005) Berge equilibrium: Some results from fixed point theorems. App. Math. Comput, 169, 624-638 .
  • 3. Berge C. (1957) Th´eorie g´en´erale des jeux `a n personnes. Ed. G. Villars, Paris.
  • 4. Borglin A. and Keiding H. (1976) Existence of equilibrium actions and equilibrium. J. Math. Econ., 3, 331-316.
  • 5. Bertrand J. (1883) Th´eorie math´ematique de la richesse sociale. Journal des savants, 499-508.
  • 6. Colman A., Korner W., Musy O., Tazdait T. (2011) Mutual support in games: Some properties of Berge equilibria. J. Math. Psychol., 55, 166-175.
  • 7. Deghdak M. and Florenzano M. (2011) On the existence of Berge’s strong equilibrium. International Game Theory Review, 13, 3, 325-340.
  • 8. Deghdak M. (2014) On the existence of Berge equilibrium with pseudocontinuous payoffs. ROMAI J, 10, 1, 25-37.
  • 9. Florenzano M. (2003) General Equilibrium Analysis. Existence and Optimality Properties of Equilibrium. Kluwer, Boston-Dordrecht-London.
  • 10. Hotelling H. (1929) The stability of competition. Economic Journal, 39, 41-57.
  • 11. Larbani M. and Nessah R. (2008) A note on the existence of Berge and Berge-Nash equilibria. Math. Soc. Sci., 55, 258-271.
  • 12. Morgan J. and Scalso V. (2007) Pseudocontinuous functions and existence of Nash aquilibria. J. Math. Econ., 43, 174-183.
  • 13. Musy O., Pottier A., Tazdait T. (2012) A new theorem to find Berge equilibria. Int. Game Theory Rev., 14, 1, 1-10.
  • 14. Nessah R., Larbani M., Tazdait T. (2007) A note on Berge equilibrium. App. Math. Lett., 20, 926-932.
  • 15. Nessah R. and Larbani M. (2014) Berge Zhukovskii equilibria: Existence and Characterization. International Game Theory Review, 16, 1450012 (11 pages).
  • 16. Nash J. F. (1951) Non cooperatives games. Ann. Maths., 54, 286-295.
  • 17. Prokopovych P. (2013) The single deviation property in games with discontinuous payoffs. Econ. Theory, 53, 383-402.
  • 18. Reny P.J. (1999) On the existence of pure and mixed strategy Nash equilibria in discontinuous games. Econometrica, 67, 1029-1056.
  • 19. Scalso V. (2009) Hadamard well-posedness in discontinuous noncooperative games. Journal of Mathematical Analysis and Applications, 360, 697-703.
  • 20. Scalso V. (2013) Essential equilibria in discontinuous games. Econ. Theory, 54, 27-44.
  • 21. Yu J. (1999) Essential equilibria in n-person noncooperative games. J. Math. Econ., 31, 361-372.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1d661b78-c36f-4e8d-85e5-0573a56dc454
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