This paper proposes a method to compare bargaining power of coalitions within the framework of games in coalition form with transferable utility. The method is expressed by a
relation on the set of all coalitions in a game, the relation which is defined based on the
players’ bargaining power. It is shown in this paper that the newly defined relation satisfies
acyclicity. Also, it is verified in this paper that the set of all individually rational payoff con-
figurations under which all coalitions have the equal bargaining power coincides with the
bargaining set. Some examples demonstrate how the newly proposed method works.
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