We study a repeated Nash demand game, where bargainers follow a fictitious play procedure after their one-shot decision on demand in the initial period. In the reduced static game they play at the initial period, all the epsilon-equilibria are clustered around the division corresponding to the Nash bargaining solution when the bargainers are patient. As the bargainers make a more accurate comparison of payoffs and become more patient accordingly, the only equilibrium left is the division of the Nash bargaining solution.
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Find related papers by JEL classification: C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory