Nash Equilibrium Conditions as Extensions of Some Classical Optimisation Theorems

Abstract

We apply the notion of Lagrange vector-function to analyse strategic (normal) form games (Ungureanu, Lib Math, XXVII:131–140, 2007, [1]). We have the aim to formulate and prove Nash equilibrium conditions for such games and Pareto-Nash equilibrium conditions for multi-criteria strategic form games . Analytical , theoretical and conceptual foundation for all the results of this chapter stands on domains of normal form games, both simultaneous and sequential, and on domain of optimization theory, both single-criterion and multi-criteria.