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Large Multi-Objective Generalized Games: Existence and Essential Stability of Equilibria

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  • Sofía Correa
  • Juan Pablo Torres-Martínez

Abstract

We characterize the existence and the essential stability of Weak Pareto-Nash and Pareto-Nash equilibria in multi-objective generalized games with a continuum of players.

Suggested Citation

  • Sofía Correa & Juan Pablo Torres-Martínez, 2016. "Large Multi-Objective Generalized Games: Existence and Essential Stability of Equilibria," Working Papers wp430, University of Chile, Department of Economics.
    • Handle: RePEc:udc:wpaper:wp430
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    References listed on IDEAS

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    1. Aumann, Robert J., 1976. "An elementary proof that integration preserves uppersemicontinuity," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 15-18, March.
    2. Carbonell-Nicolau, Oriol, 2010. "Essential equilibria in normal-form games," Journal of Economic Theory, Elsevier, vol. 145(1), pages 421-431, January.
    3. Sofía Correa & Juan Torres-Martínez, 2014. "Essential equilibria of large generalized games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 479-513, November.
    4. Z. Lin, 2005. "Essential Components of the Set of Weakly Pareto-Nash Equilibrium Points for Multiobjective Generalized Games in Two Different Topological Spaces," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 387-405, February.
    5. Balder, Erik J., 2002. "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, Elsevier, vol. 102(2), pages 437-470, February.
    6. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, June.
    7. ZHAO, Jingang, 1991. "The equilibria of a multiple objective game," LIDAM Reprints CORE 987, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    Full references (including those not matched with items on IDEAS)

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