]. K. Arrow and G. Debreu, Existence of an Equilibrium for a Competitive Economy, Econometrica, vol.22, issue.3, pp.265-290, 1954.
DOI : 10.2307/1907353

J. Aubin, Optima and Equilibria: An Introduction to Nonlinear Analysis, 1998.

J. Aubin and H. Frankowska, Set-valued Analysis, 1990.

M. R. Baye, G. Tian, and J. Zhou, Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs, The Review of Economic Studies, vol.60, issue.4, pp.935-948, 1993.
DOI : 10.2307/2298107

E. G. Begle, A Fixed Point Theorem, The Annals of Mathematics, vol.51, issue.3, pp.544-550, 1950.
DOI : 10.2307/1969367

C. Berge, Topological Spaces, Including a Treatment of Multi-valued Functions Vector Spaces and Convexity, 1963.

K. C. Border, Fixed Point Theorems with Applications to Economics and Game Theory, Econometrics, statistics and mathematical economics, 1985.
DOI : 10.1017/CBO9780511625756

P. Dasgupta and E. Maskin, The Existence of Equilibrium in Discontinuous Economic Games, I: Theory, The Review of Economic Studies, vol.53, issue.1, pp.1-26, 1986.
DOI : 10.2307/2297588

G. Debreu, A Social Equilibrium Existence Theorem, Proceedings of the National Academy of Sciences, vol.38, issue.10, pp.886-893, 1952.
DOI : 10.1007/BF01448847
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063675/pdf

W. E. Diewert, M. Avriel, and I. Zang, Nine kinds of quasiconcavity and concavity, Journal of Economic Theory, vol.25, issue.3, 1981.
DOI : 10.1016/0022-0531(81)90039-9

S. Eilenberg and D. Montgomery, Fixed Point Theorems for Multi-Valued Transformations, American Journal of Mathematics, vol.68, issue.2, pp.214-222, 1946.
DOI : 10.2307/2371832

C. Ewald, Games, Fixed Points and Mathematical Economics, SSRN Electronic Journal, 2003.
DOI : 10.2139/ssrn.976592

F. Facchinei, A. Fischer, and V. Piccialli, On generalized Nash games and variational inequalities, Operations Research Letters, vol.35, issue.2, pp.159-164, 2007.
DOI : 10.1016/j.orl.2006.03.004

F. Facchinei and C. Kanzow, Generalized Nash equilibrium problems. Updated version of the 'quaterly journal of operations research' version, 2009.
DOI : 10.1007/s10288-007-0054-4

F. Facchinei and J. Pang, Finite-Dimensional Variational Inequalities and Complementary Problems. Volume I, Operations Research, 2003.

F. Facchinei and J. Pang, Finite-Dimensional Variational Inequalities and Complementary Problems. Volume II, Operations Research, 2003.

M. Fukushima and J. Pang, Quasi-variational inequalities, generalized Nash equilibria, and multileader-follower games, Comput. Manag. Sci, vol.2, pp.21-56, 2005.

P. T. Harker, Generalized Nash games and quasi-variational inequalities, European Journal of Operational Research, vol.54, issue.1, pp.81-94, 1991.
DOI : 10.1016/0377-2217(91)90325-P

W. W. Hogan, Point-to-Set Maps in Mathematical Programming, SIAM Review, vol.15, issue.3, pp.591-603, 1973.
DOI : 10.1137/1015073

T. Ichiishi, Game Theory for Economic Analysis In Economic theory, econometrics, and mathematical economics. Academic press, 1983.

S. Kakutani, A generalization of Brouwer's fixed point theorem. Duke Math, J, vol.8, issue.3, pp.457-459, 1941.

H. W. Kuhn, Contractibility and convexity, Proceedings of the American Mathematical Society, vol.5, issue.5, pp.777-779, 1954.
DOI : 10.1090/S0002-9939-1954-0065187-3

S. Lefschetz, On the Fixed Point Formula, The Annals of Mathematics, vol.38, issue.4, pp.819-822, 1937.
DOI : 10.2307/1968838

H. Lu, On the existence of pure-strategy Nash equilibrium, Economics Letters, vol.94, issue.3, pp.459-462, 2007.
DOI : 10.1016/j.econlet.2006.09.006

E. Michael, Continuous Selections, The Annals of Mathematics, vol.63, issue.2, pp.361-382, 1956.
DOI : 10.1016/B978-044450355-8/50029-5

J. F. Nash, Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, vol.8, issue.1, pp.48-49, 1950.
DOI : 10.1215/S0012-7094-41-00838-4
URL : http://www.pnas.org/content/36/1/48.full.pdf

J. F. Nash, Non-Cooperative Games, The Annals of Mathematics, vol.54, issue.2, pp.286-295, 1951.
DOI : 10.2307/1969529

H. Nikaido and K. Isoda, Note on non-cooperative convex game, Pacific Journal of Mathematics, vol.5, issue.5, pp.807-815, 1955.
DOI : 10.2140/pjm.1955.5.807

E. A. Ok, Real Analysis with Economic Applications, 2005.

S. Park, A variant of the Nash equilibrium theorem in generalized convex spaces, Journal of Nonlinear Analysis and Optimization, vol.1, issue.1, pp.17-22, 2010.

R. , T. Rockafellar, J. Roger, and . Wets, Variational Analysis, In Comprehensive Studies in Mathematics, vol.317, 1997.

J. B. Rosen, Existence and Uniqueness of Equilibrium Points for Concave N-Person Games, Econometrica, vol.33, issue.3, pp.520-534, 1965.
DOI : 10.2307/1911749

J. Von-neumann and O. Morgenstern, Theory of Games and Economic Behavior. Princeton Classic Editions, 1944.