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- Title
On Finding Large Sets of Rewards in Two-Player ETP–ESP Games.
- Authors
Joosten, Reinoud; Samuel, Llea
- Abstract
Games with endogenous transition probabilities and endogenous stage payoffs (or ETP–ESP games for short) are stochastic games in which both the transition probabilities and the payoffs at any stage are continuous functions of the relative frequencies of all past action combinations chosen. We present methods to compute large sets of jointly-convergent pure-strategy rewards in two-player ETP–ESP games with communicating states under the limiting average reward criterion. Such sets are useful in determining feasible rewards in a game, and instrumental in obtaining the set of (Nash) equilibrium rewards.
- Subjects
CONTINUOUS functions; GAMES; NONCOOPERATIVE games (Mathematics); MARKOV processes; PROBABILITY theory
- Publication
International Game Theory Review, 2020, Vol 22, Issue 2, pN.PAG
- ISSN
0219-1989
- Publication type
Article
- DOI
10.1142/S0219198920400022