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On the existence of Cournot-Nash equilibria in continuum games

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  • Balder, Erik J.

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  • Balder, Erik J., 1999. "On the existence of Cournot-Nash equilibria in continuum games," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 207-223, October.
    • Handle: RePEc:eee:mateco:v:32:y:1999:i:2:p:207-223
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    References listed on IDEAS

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    1. Balder, E. J., 1996. "Comments on the existence of equilibrium distributions," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 307-323.
    2. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    3. Edward Renshaw, 1995. "Analysis," Challenge, Taylor & Francis Journals, vol. 38(3), pages 53-56, May.
    4. Erik J. Balder, 1988. "Generalized Equilibrium Results for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 265-276, May.
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    Cited by:

    1. Youcef Askoura, 2019. "On the core of normal form games with a continuum of players : a correction," Papers 1903.09819, arXiv.org.
    2. 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.
    3. 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.
    4. Jian Yang, 2023. "Nonatomic game with general preferences over returns," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 861-889, September.
    5. Yang, Zhe, 2020. "The weak α-core of exchange economies with a continuum of players and pseudo-utilities," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 43-50.
    6. Khan, M. Ali & McLean, Richard P. & Uyanik, Metin, 2024. "On constrained generalized games with action sets in non-locally-convex and non-Hausdorff topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    7. Balder, Erik J., 2004. "An equilibrium existence result for games with incomplete information and indeterminate outcomes," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 297-320, June.
    8. Riascos Villegas, Alvaro & Torres-Martínez, Juan Pablo, 2013. "On pure strategy equilibria in large generalized games," MPRA Paper 46840, University Library of Munich, Germany.
    9. Balder, Erik J., 2008. "More on equilibria in competitive markets with externalities and a continuum of agents," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 575-602, July.
    10. Filipe Martins-da-Rocha, V. & Topuzu, Mihaela, 2008. "Cournot-Nash equilibria in continuum games with non-ordered preferences," Journal of Economic Theory, Elsevier, vol. 140(1), pages 314-327, May.
    11. Askoura, Y., 2017. "On the core of normal form games with a continuum of players," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 32-42.
    12. Riascos Villegas, Alvaro & Torres-Martínez, Juan Pablo, 2012. "On the existence of pure strategy equilibria in large generalized games with atomic players," MPRA Paper 36626, University Library of Munich, Germany.
    13. √Ålvaro Riascos Villegas & Juan Pablo Torres-MartÔøΩnez, 2010. "A Direct Proof of the Existence of Pure Strategy Equilibria in Large Generalized Games with Atomic Players," Documentos CEDE 7091, Universidad de los Andes, Facultad de Economía, CEDE.
    14. Rubén Poblete-Cazenave & Juan Torres-Martínez, 2013. "Equilibrium with limited-recourse collateralized loans," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 181-211, May.
    15. Álvaro Riascos Villegas & Juan Pablo Torres-Martínez, 2010. "A Direct Proof of the Existence of Pure Strategy Equilibria in Large Generalized Games with Atomic Players," Documentos CEDE 7091, Universidad de los Andes, Facultad de Economía, CEDE.
    16. Balder, Erik J., 2000. "Incompatibility of Usual Conditions for Equilibrium Existence in Continuum Economies without Ordered Preferences," Journal of Economic Theory, Elsevier, vol. 93(1), pages 110-117, July.
    17. Balder, Erik J., 2003. "On undominated Nash equilibria for games with a measure space of players," Economics Letters, Elsevier, vol. 80(2), pages 137-140, August.
    18. Correa, Sofía & Torres-Martínez, Juan Pablo, 2012. "Essential stability for large generalized games," MPRA Paper 36625, University Library of Munich, Germany.
    19. Erhan Bayraktar & Alexander Munk, 2016. "High-Roller Impact: A Large Generalized Game Model of Parimutuel Wagering," Papers 1605.03653, arXiv.org, revised Mar 2017.

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