A Proof of the Vieille Result Using a Kind of Discount Factor
  We give an alternative proof that every two-person non-zero-sum absorbing positive recursive stochastic game with finitely many states has approximate equilibria, a result proven by Nicolas Vieille. Our proof uses a state specific discount factor which is similar to the conventional discount factor only when there is only one non-absorbing state. 
Robert Samuel Simon
math.PR