Inequalities and Nash equilibria
The existence of Nash equilibrium points for non-cooperative and generalized non-cooperative games is investigated. The K-K-M lemma is used to obtain a new Fan-type inequality and minimax theorems. Various new existence theorems are derived for the general case where strategy spaces need not have the fixed point property. Examples are given to demonstrate that these existence theorems cover areas where other existence theorems cannot be used.
scientific article; zbMATH DE number 5782219