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Communication Dans Un Congrès Année : 2019

On a Simple Hedonic Game with Graph-Restricted Communication

Résumé

We study a hedonic game for which the feasible coalitions are prescribed by a graph representing the agents' social relations. A group of agents can form a feasible coalition if and only if their corresponding vertices can be spanned with a star. This requirement guarantees that agents are connected, close to each other, and one central agent can coordinate the actions of the group. In our game everyone strives to join the largest feasible coalition. We study the existence and computational complexity of both Nash stable and core stable partitions. Then, we provide tight or asymptotically tight bounds on their quality, with respect to both the price of anarchy and stability, under two natural social functions, namely, the number of agents who are not in a singleton coalition, and the number of coalitions. We also derive refined bounds for games in which the social graph is restricted to be claw-free. Finally, we investigate the complexity of computing socially optimal partitions as well as extreme Nash stable ones.
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Dates et versions

hal-02344009 , version 1 (03-11-2019)

Identifiants

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Vittorio Bilò, Laurent Gourvès, Jérôme Monnot. On a Simple Hedonic Game with Graph-Restricted Communication. International Symposium on Algorithmic Game Theory SAGT 2019, Sep 2019, Athens,, Greece. ⟨10.1007/978-3-030-30473-7_17⟩. ⟨hal-02344009⟩
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