On the Existence of Nash Equilibria in Discontinuous and Qualitative Games

@inproceedings{Barelli2008OnTE,
  title={On the Existence of Nash Equilibria in Discontinuous and Qualitative Games},
  author={Paulo Barelli and IDIONE SOZA},
  year={2008}
}
We show that compact games have pure strategy Nash equilibria if conditions C and Q are satisfied. Condition C states that, whenever a profile of strategies x is not an equilibrium, there exists an open neighborhood V of x and well behaved maps φi, one for each player i, mapping V to each player’s strategies, and satisfying the following property: for any profile of strategies y in the neighborhood V , there exists one player i such that φi(y) belongs to player i’s strict upper contour set… CONTINUE READING
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References

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Showing 1-10 of 49 references

Reciprocal Upper Semicontinuity and Better Reply Secure Games: A Comment

A. Bagh, A. Jofre
2006
View 6 Excerpts
Highly Influenced

Topological Methods for Set-Valued Nonlinear Analysis, World Scientific Publishing Co. Pte

E Tarafdar, M. Chowdhury
2008
View 6 Excerpts
Highly Influenced

On the Existence of Pure and Mixed Strategy

P. Reny
Nash Equilibria in Discontinuous Games, Econometrica, • 1999
View 10 Excerpts
Highly Influenced

Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs

M. Baye, G. Tian, J. Zhou
Review of Economic Studies, • 1993
View 9 Excerpts
Highly Influenced

Catalog Competition and Nash Equilibrium in Nonlinear Pricing Games

P. Monteiro, F. Page
Economic Theory, • 2008
View 5 Excerpts
Highly Influenced

Infinite Dimensional Analysis: A Hitchhiker’s Guide, 3rd Ed

C. Aliprantis
Border • 2006
View 2 Excerpts
Highly Influenced

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