Total reward stochastic games and sensitive average reward strategies

F Thuijsman*, OJ Vrieze

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


In this paper, total reward stochastic games are surveyed. Total reward games are motivated as a refinement of average reward games. The total reward is defined as the limiting average of the partial sums of the stream of payoffs. It is shown that total reward games with finite state space are strategically equivalent to a class of average reward games with an infinite countable state space. The role of stationary strategies in total reward games is investigated in detail. Further, it is outlined that, for total reward games with average reward value 0 and where additionally both players possess average reward optimal stationary strategies, it holds that the total reward value exists.
Original languageEnglish
Pages (from-to)175-196
JournalJournal of Optimization Theory and Applications
Issue number1
Publication statusPublished - Jul 1998


  • stochastic games
  • total reward
  • average reward
  • value existence


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