Remarks on sensitive equilibria in stochastic games with additive reward and transition structure (Q857831)

This paper establishes some results on sensitive equilibria for ergodic zero-sum and nonzero-sum stochastic games with ARAT structure (additive rewards and additive transitions). The author provides some examples showing the importance of ARAT structure. Without this condition the so-called ``1-equilibrium'' need not exist in a zero-sum game. At the same time, the author corrects his previous results obtained in [Math. Methods Oper. Res. 50, 65--76 (1999; Zbl 0963.91011)]. As far as an ARAT nonzero-sum game is concerned, an additional condition is needed. Namely, the transitions have to be nonatomic.