Abstract: In a zero-sum stochastic game, at each stage, two adversary players take decisions and receive a stage payoff determined by these actions and by a random variable called state of nature. The total payoff is the discounted sum of the stage payoffs. Assume that players are very patient and use optimal strategies. We then prove that at any point in the game, players get essentially the same payoff: the payoff is constant.

No game theory prerequisite of any kind is needed to understand this talk.

(joint work with Miquel Oliu Barton)