A continuous time approach for the asymptotic value in two-person zero-sum repeated games (Q2910916)

This authors study the asymptotic value of two-person zero-sum repeated games. The objective is to employ techniques used in continuous-time germs (such as viscosity solution methods) to prove the convergence of the value of the \(n\)-stage games as \(n\to\infty\) and the convergence of the discounted value as the discount factor goes to zero. The keys idea is to embed discrete time repeated game into a continuous time game, and then to formulate variational inequaltities and to use a comparison principle. Three specific classes of games re analyzed: the repeated games with incomplete information, absorbing games and splitting games.