The big match and the Paris match

In this paper we discuss the most typical and illustrative examples in stochastic game theory: the big match and a non-zero-sum extension thereof. These big match examples have played key roles in the development of stochastic game theory and we shall therefore examine them in some detail.keywordspure strategystationary strategystochastic gamerepeated gameaverage rewardthese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.