NONCOOPERATIVE GAMES WITH NONCOMPACT JOINT STRATEGIES SETS: INCREASING BEST RESPONSES AND APPROXIMATION TO EQUILIBRIUM POINTS

摘要

In this paper conditions proposed in Flores-Hernandez and Montes-de-Oca [3] which permit to obtain monotone minimizers of unbounded optimization problems on Euclidean spaces are adapted in suitable versions to study noncooperative games on Euclidean spaces with noncompact sets of feasible joint strategies in order to obtain increasing optimal best responses for each player. Moreover, in this noncompact framework an algorithm to approximate the equilibrium points for noncooperative games is supplied.