Riascos Villegas, Alvaro and Torres-Martínez, Juan Pablo
(2013):
*On pure strategy equilibria in large generalized games.*

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## Abstract

We consider a game with a continuum of players where at most a finite number of them are atomic. Objective functions are continuous and admissible strategies may depend on the actions chosen by atomic players and on aggregate information about the actions chosen by non-atomic players. When atomic players have convex sets of admissible strategies and quasi-concave objective functions, a pure strategy Nash equilibria always exists.

Item Type: | MPRA Paper |
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Original Title: | On pure strategy equilibria in large generalized games |

Language: | English |

Keywords: | Generalized games; Non-convexities; Pure-strategy Nash equilibrium |

Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium |

Item ID: | 46840 |

Depositing User: | Juan Pablo Torres-Martínez |

Date Deposited: | 08 May 2013 18:37 |

Last Modified: | 12 Oct 2019 03:51 |

References: | Aumann, R.J. (1965): "Integrals of set-valued functions," Journal of Mathematical Analysis and Applications, volume 12, pages 1-12. Aumann, R.J. (1966): "Existence of competitive equilibria in markets with a continuum of traders," Econometrica, volume 34, pages 1-11. Aumann, R.J. (1976): "An elementary proof that integration preserves uppersemicontinuity," Journal of Mathematical Economics, volume 3, pages 15-18. Balder, E.J. (1999): "On the existence of Cournot-Nash equilibria in continuum games," Journal of Mathematical Economics, volume 32, pages 207-223. Balder, E.J. (2002): "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, volume 102, pages 437-470. Hildenbrand, W. (1974): "Core and equilibria of a large economy," Princeton University Press, Princeton, New Jersey. Rath, K.P. (1992): "A direct proof of the existence of pure strategy equilibria in games with a continuum of players," Economic Theory, volume 2, pages 427-433. Schmeidler, D.(1973): "Equilibrium point of non-atomic games," Journal of Statistical Physics, volume 17, pages 295-300. |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/46840 |