Simple Recursive Games

Andersson, Daniel; Hansen, Kristoffer Arnsfelt; Miltersen, Peter Bro; Sorensen, Troels Bjerre

Simple Recursive Games

Authors

Andersson, Daniel

Hansen, Kristoffer Arnsfelt

Miltersen, Peter Bro

Sorensen, Troels Bjerre

Description

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.