The existence of nash equilibrium in n-person games with C-concavity
The purpose of this paper is to introduce the C-concavity condition, and next prove a new existence theorem of Nash equilibrium in n-person games with C-concavity. And, as an application, we shall prove a minimax theorem. Finally, we shall give some examples of a two-person game where the C-concavity can be applied, but the previous general concavity conditions cannot be applied. Our results generalize the corresponding results due to Nash and Forgo in several ways. (C) 2002 Elsevier Science Ltd. All rights reserved.
nash equilibrium c-concave minimax fixed-point space