Discount-sensitive equilibria in zero-sum stochastic differential games

Abstract

We consider infinite-horizon zero-sum stochastic differential games with average payoff criteria,discount -sensitive criteria and, infinite-horizon undiscounted reward criteria which are sensitive to the growth rate of finite-horizon payoffs. These criteria include, average reward optimality, strong 0-discount optimality, strong -1-discount optimality, 0-discount optimality, bias optimality, F-strong average optimality and overtaking optimality. The main objective is to give conditions under which these criteria are interrelated.