Approximate Quantal Response Equilibria in Bargaining

The Nash Bargaining problem in the context of a random utility model yields a stochastic demand for each player, conditional on his or her beliefs regarding the other player's behavior. We derive a symmetric logit equilibrium under naive expectations that converges to the Nash axiomatic solution as noise in utility vanishes. A numerical approximation to the symmetric logit equilibrium under rational expectations (Quantal Response Equilibrium) solution is also computed.