Noncooperative formation of coalitions in hedonic games

@article{Bloch2011NoncooperativeFO,
  title={Noncooperative formation of coalitions in hedonic games},
  author={Francis Bloch and Effrosyni Diamantoudi},
  journal={Int. J. Game Theory},
  year={2011},
  volume={40},
  pages={263-280}
}
We study a bargaining procedure of coalition formation in the class of hedonic games, where players’preferences depend solely on the coalition they belong to. We show that if a hedonic game is totally balanced then for every core element there exists a stationary perfect equilibrium that supports it. The reverse is not true and it is established by means of a counter example. We also identify a condition that guarantees both uniqueness of the core as well of stationary perfect equilibria. In… CONTINUE READING
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