A new characterization of the non-symmetric Nash solution

A one-step stochastic bargaining procedure is examined which is based on as suming offer-dependent break-down probabilities and that at each step, the players optimize their expected payoffs. It is shown that there is a unique solution of the bargaining process and it reduces to the non-symmetric Nas h solution if each player initially offers the disagreement payoff value to the other player. Therefore the one-step bargaining solution is a further generalization of the non-symmetric Nash solution with arbitrary initial of fers (C) 1999 Elsevier Science Inc. All rights reserved.