Coalition Formation in Simple Games: The Semistrict Core

Abstract

We consider the class of proper monotonic simple games and study coalition formation 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.Coalition Formation, Paradox of Smaller Coalitions, Semistrict Core, Simple Games, Winning Coalitions