FEEM working papers "Note di lavoro" series
2012 .038

Coalition Formation in Generalized Apex Games


Authors: Dominik Karos
Series: Climate Change and Sustainable Development
Editor: Carlo Carraro
Keywords: Apex Games, Core Stability, Hedonic Games, Strong Monotonicity
JEL n.: C71

Abstract

The class of games with one apex player is generalized to the class of games with a collection of apex sets. These simple games, together with a power index, canonically induce a hedonic coalition formation game. A monotonicity property of solutions is introduced and its meaning for the induced hedonic game is analyzed. Necessary and sufficient conditions for the existence of core stable partitions are stated and core stable partitions are characterized.

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