The nash program: Non-convex bargaining problems

We define and characterize an extension of the Nash bargaining solution to non-convex bargaining problems and, in the spirit of the Nash Program of implementing cooperative solutions non-cooperatively, we show that this solution is supported by Rubinstein's (Econometrica 50 (1982), 97–110) model of bargaining and its corresponding set of stationary subgame perfect equilibria.