A note on the group bargaining solution

Xiaodong Zhang

Mathematical Social Sciences, 2009, vol. 57, issue 2, 155-160

Abstract: The well known Nash's pure bargaining solution was generalized by the author [Zhang, X., 1995. The pure bargaining problem among coalitions. Asia-Pacific Journal of Operational Research 12, 1-15] for the bargaining problem with an exogenous coalition structure. Nash's axiom set was modified to develop a solution mapping for this new type of pure bargaining problem. Among other things, a similar solution concept for the same bargaining problem was given by [Chae, S., Heidhues, P., 2004. A group bargaining solution. Mathematical Social Sciences 48, 37-53]. Their solution's mathematical presentation is quite different from Zhang's solution. In this note, we present a proof to show that the two solutions are equivalent.

Keywords: Game; theory; Bargaining; problem; Coalition (search for similar items in EconPapers)
Date: 2009
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