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arXiv · 0711.1055

Simple Recursive Games

Daniel Andersson·Kristoffer Arnsfelt Hansen·Peter Bro Miltersen·Troels Bjerre Sorensen
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Abstract

We define the class of "simple recursive games". A simple recursive game is defined as a simple stochastic game (a notion due to Anne Condon), except that we allow arbitrary real payoffs but disallow moves of chance. We study the complexity of solving simple recursive games and obtain an almost-linear time comparison-based algorithm for computing an equilibrium of such a game. The existence of a linear time comparison-based algorithm remains an open problem.

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Daniel Andersson, Kristoffer Arnsfelt Hansen, Peter Bro Miltersen, Troels Bjerre Sorensen. 2007-11-07. Simple Recursive Games. https://arxiv.org/abs/0711.1055

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