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Coalition Formation in Generalized Apex Games

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  • Karos, Dominik

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.

Suggested Citation

  • Karos, Dominik, 2012. "Coalition Formation in Generalized Apex Games," Climate Change and Sustainable Development 128706, Fondazione Eni Enrico Mattei (FEEM).
  • Handle: RePEc:ags:feemcl:128706
    DOI: 10.22004/ag.econ.128706
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    Keywords

    Political Economy;

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