Three-Player
Absorbing Games

Eilon Solan

Mathematics
of Operations Research, 24 (1999),
669-698.

An multi-player absorbing game is a
multi-player stochastic game where all the states but one are absorbing
(a
state is absorbing if once it is reached,
the probability to leave it is zero,
whatever the players play(.

We prove that every three-player
absorbing game has a uniform equilibrium payoff.