Coalition Formation in Simple Games: The Semistrict Core

We consider the class of proper monotonic simple games and study coalition forma-tion when an exogenous share vector and a solution concept are combined to guide the distribution of coalitional worth. Using a multiplicative composite solution, we induce players ' preferences over coalitions in a hedonic game, and present conditions under which the semistrict core of the game is nonempty. JEL Classication: D72, C7