The study of the set of Nash equilibrium points for one two-players game with quadratic payoff functions

Abstract

In this paper, the general two-players game on the square with quadratic payoff functions is considered. We have studied the problem of determination of the set of Nash equilibrium points, and here we present a constructive graphical method for determination of the required set which we have developed.

Keywords

• two-players game
• Nash equilibrium
• quadratic payoff functions