Two-player nonZero-sum stopping games in discrete time

Details Two-player nonZero-sum stopping games in discrete time Two-player nonZero-sum stopping games in discrete time

2004-10-06

arxiv.org/abs/math/0410173v1

Annals of Probability 2004, Vol. 32, No. 3B, 2733-2764

Mathematics

Probability

Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta

Scientific paper

10.1214/009117904000000162

We prove that every two-player nonzero-sum stopping game in discrete time
admits an \epsilon-equilibrium in randomized strategies for every \epsilon >0.
We use a stochastic variation of Ramsey's theorem, which enables us to reduce
the problem to that of studying properties of \epsilon-equilibria in a simple
class of stochastic games with finite state space.

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