RIEB Discussion Paper Series No.2021-15

RIEB Discussion Paper Series No.2021-15


The Bargaining Set and Coalition Formation


We address the problem of predicting how rational agents will form coalitions in a nontransferable utility game, and within each coalition how they will allocate the gains obtained through cooperation. To answer these questions, we propose solution concepts according to which the coalition structure and the payoff allocations are simultaneously determined. We prove the nonemptiness and partial efficiency of the steady bargaining set, a refinement of the Zhou bargaining set, for at least one coalition structure under the restrictive non-crossing condition. In addition, we show the nonemptiness and possible inefficiency of the Mas-Colell bargaining set if this condition is not assumed.


Nontransferable utility game; Coalition structure; Bargaining set; Restrictive non-crossing condition

JEL Classification

C71, D71


Research Institute for Economics and Business Administration
Kobe University
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