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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 6: AAAI-21 Technical Tracks 6

Reaching Individually Stable Coalition Structures in Hedonic Games

February 1, 2023

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Authors

Felix Brandt

Technische Universität München


Martin Bullinger

Technische Universität München


Anaëlle Wilczynski

CentraleSupélec, Université Paris-Saclay


DOI:

10.1609/aaai.v35i6.16658


Abstract:

The formal study of coalition formation in multiagent systems is typically realized using so-called hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the computational complexity of deciding the existence of coalition structures that satisfy various stability criteria. The actual process of forming coalitions based on individual behavior has received little attention. In this paper, we study the convergence of simple dynamics leading to stable partitions in a variety of classes of hedonic games, including anonymous, dichotomous, fractional, and hedonic diversity games. The dynamics we consider is based on individual stability: an agent will join another coalition if she is better off and no member of the welcoming coalition is worse off. We identify conditions for convergence, provide elaborate counterexamples of existence of individually stable partitions, and study the computational complexity of problems related to the coalition formation dynamics. In particular, we settle open problems suggested by Bogomolnaia and Jackson (2002), Brandl, Brandt, and Strobel (2015), and Boehmer and Elkind (2020).

Topics: AAAI

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HOW TO CITE:

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski Reaching Individually Stable Coalition Structures in Hedonic Games Proceedings of the AAAI Conference on Artificial Intelligence (2021) 5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski Reaching Individually Stable Coalition Structures in Hedonic Games AAAI 2021, 5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski (2021). Reaching Individually Stable Coalition Structures in Hedonic Games. Proceedings of the AAAI Conference on Artificial Intelligence, 5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. Reaching Individually Stable Coalition Structures in Hedonic Games. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. 2021. Reaching Individually Stable Coalition Structures in Hedonic Games. "Proceedings of the AAAI Conference on Artificial Intelligence". 5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. (2021) "Reaching Individually Stable Coalition Structures in Hedonic Games", Proceedings of the AAAI Conference on Artificial Intelligence, p.5211-5218

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski, "Reaching Individually Stable Coalition Structures in Hedonic Games", AAAI, p.5211-5218, 2021.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. "Reaching Individually Stable Coalition Structures in Hedonic Games". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. "Reaching Individually Stable Coalition Structures in Hedonic Games". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 5211-5218.

Felix Brandt||Martin Bullinger||Anaëlle Wilczynski. Reaching Individually Stable Coalition Structures in Hedonic Games. AAAI[Internet]. 2021[cited 2023]; 5211-5218.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
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101, Palo Alto, California 94303 All Rights Reserved

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