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arXiv · 1405.3360

On the Nash Stability in the Hedonic Coalition Formation Games

Cengis Hasan·Jean-Marie Gorce·Eitan Altman
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Abstract

This paper studies the Nash stability in hedonic coalition formation games. We address the following issue: for a general problem formulation, is there any utility allocation method ensuring a Nash-stable partition? We propose the definition of the Nash-stable core. We study the conditions for having a non-empty Nash-stable core. More precisely, we show how relaxed efficiency in utility sharing method allows to ensure a non-empty Nash-stable core.

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Cengis Hasan, Jean-Marie Gorce, Eitan Altman. 2014-05-14. On the Nash Stability in the Hedonic Coalition Formation Games. https://arxiv.org/abs/1405.3360

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