Econometrica: May 2019, Volume 87, Issue 3

The Probability to Reach an Agreement as a Foundation for Axiomatic Bargaining
p. 837-865

Lorenzo Bastianello, Marco LiCalzi

We revisit the Nash bargaining model and axiomatize a procedural solution that maximizes the probability of successful bargaining. Our characterization spans several known solution concepts, including the special cases of the Nash, egalitarian, and utilitarian solutions. Using a probability‚Äźbased language, we offer a natural interpretation for the product operator underlying the Nash solution: when the bargainers' individual acceptance probabilities are independent, their product recovers the joint acceptance probability.

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