Coalition Formation in Generalized Apex Games
AbstractThe 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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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2012.38.
Date of creation: May 2012
Date of revision:
Apex Games; Core Stability; Hedonic Games; Strong Monotonicity;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-06-25 (All new papers)
- NEP-GTH-2012-06-25 (Game Theory)
- NEP-MIC-2012-06-25 (Microeconomics)
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