Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game and corresponding mathematical programming problem (Q2465466)

This paper develops a multi-objective two-person on-zero-sum game based on domination cones and gives a necessary and sufficient condition for a pair of mixed strategies to be in a non-dominated equilibrium. A number of theorems and lemmas are presented with a few examples. No numerical experiments are performed.