Perfect information stochastic games and related classes

Forn-person perfect information stochastic games and forn-person stochastic games with additive rewards and additive transitions (arat) we show the existence of pure limiting average equilibria. Using a similar approach we also derive the existence of limiting average e-equilibria for two-person switching control stochastic games. The orderfield property holds for each of the classes mentioned, and algorithms to compute equilibria are pointed out.