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arXiv · 1608.05272

Acceptable Strategy Profiles in Stochastic Games

Eilon Solan
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Abstract

This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player $i$ and state $s$ in a stochastic game, let $w_i(s)$ be a real number. A strategy profile is \emph{$w$-acceptable}, where $w=(w_i(s))$, if the discounted payoff to each player $i$ at every initial state $s$ is at least $w_i(s)$, provided the discount factor of the players is sufficiently close to 1. Our goal is to provide simple strategy profiles that are $w$-acceptable for payoff vectors $w$ in which all coordinates are high.

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Eilon Solan. 2016-08-14. Acceptable Strategy Profiles in Stochastic Games. https://arxiv.org/abs/1608.05272

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