On ε-equilibrium point in a noncooperative n-person game

Abstract In this paper, we describe a noncooperative n -person game in strategic form (or normal form) and introduce e-equilibrium point. We give mainly the characterization of such an e-equilibrium point by applying Ekeland's theorem.

[1]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[2]  J. Aubin,et al.  Applied Nonlinear Analysis , 1984 .

[3]  Jonathan M. Borwein,et al.  A NOTE ON "-SUBGRADIENTS AND MAXIMAL MONOTONICITY , 1982 .

[4]  I. Ekeland Nonconvex minimization problems , 1979 .

[5]  K Fan,et al.  Minimax Theorems. , 1953, Proceedings of the National Academy of Sciences of the United States of America.

[6]  K. Fan Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces. , 1952, Proceedings of the National Academy of Sciences of the United States of America.

[7]  J. Aubin Mathematical methods of game and economic theory , 1979 .

[8]  I. Ekeland On the variational principle , 1974 .

[9]  D. Varberg,et al.  Another Proof that Convex Functions are Locally Lipschitz , 1974 .

[10]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.