Randomly Available Outside Options in Bargaining
We consider an extension of the standard Rubinstein model where both players are randomly allowed to leave the negotiation after a rejection, in which case they obtain a payoff of known value. We show that, when the value of the outside opportunities is of intermediate size, there exist a continuum of subgame-perfect equilibrium outcomes, including some with delayed agreements. Considering outside opportunities of significant value, we prove that efficient delays arise caused by the bargainers' aspirations in waiting for their outside option rather than by threats. Moreover, if taking the outside option decreases the probability that the opponent receives an outside option in the future, then it is possible that exactly two equilibrium payoffs coexist. In this latter case, inefficiencies may be created by agreeing too early.
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- Avery Christopher & Zemsky Peter B., 1994. "Option Values and Bargaining Delays," Games and Economic Behavior, Elsevier, vol. 7(2), pages 139-153, September.
- Ponsati, C. & sakovics, J., 1996. "Bargaining in a changing Environment," UFAE and IAE Working Papers 351.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Vislie, Jon, 1988. "Equilibrium in a market with sequential bargaining and random outside options," Economics Letters, Elsevier, vol. 26(4), pages 325-328.
- Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
- Sakovics, J. & Ponsati, C., 1995. "Rubinstein Batgaining with Tow-Sided Options," UFAE and IAE Working Papers 318.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Avery Christopher & Zemsky Peter B., 1994. "Money Burning and Multiple Equilibria in Bargaining," Games and Economic Behavior, Elsevier, vol. 7(2), pages 154-168, September.