2017/03/11 by Eilon Solan, Solan, Eilon
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #91A15 #Economic theories and models #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems #Probability (math.PR) #math.PR #msc:91A15
paper · pdf · doi:10.48550/arxiv.1703.04026
arxiv created 2017/03/11 · openalex publication_date 2017/03/11 · arxiv updated 2017/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new tool for the study of multiplayer stochastic games, namely the modified game, which is a normal-form game that depends on the discount factor, the initial state, and for every player a partition of the set of states and a vector that assigns a real number to each element of the partition. We study properties of the modified game, like its equilibria, min-max value, and max-min value. We then show how this tool can be used to prove the existence of a uniform equilibrium in a certain class of multiplayer stochastic games.