Hedonic Games with Social Context

htmlabstractHedonic games are coalition formation games in which coalitions are created as a result of the strategic interaction of independent players. To this day, the literature on non-cooperative hedonic games has considered totally selfish players; our aim is that of defining and studying a new model in which, given a social graph, players also care about the happiness of their friends: we call this class of games social context hedonic games (SCHGs). We consider Nash equilibria of SCHGs, and study their existence, convergence and performance with respect to the classical notions of price of anarchy and price of stability. In particular, we provide an exact potential function for SCHGs implying the existence and convergence to Nash equilibria, and we prove tight or asymptotically tight bounds on the price of anarchy and the price of stability of SCHGs.

[1]  Po-An Chen,et al.  The Robust Price of Anarchy of Altruistic Games , 2011, WINE.

[2]  Vittorio Bilò,et al.  Social context congestion games , 2011, Theor. Comput. Sci..

[3]  Amos Fiat,et al.  Correlation clustering in general weighted graphs , 2006, Theor. Comput. Sci..

[4]  J. Drèze,et al.  HEDONIC COALITIONS: OPTIMALITY AND STABILITY , 1980 .

[5]  Joseph Naor,et al.  Hedonic clustering games , 2012, SPAA '12.

[6]  Raza Umar,et al.  Throughput-efficient coalition formation of selfish/altruistic nodes in ad hoc networks: a hedonic game approach , 2018, Telecommun. Syst..

[7]  Jörg Rothe,et al.  Altruistic Hedonic Games , 2016, AAMAS.

[8]  Dominik Peters,et al.  Graphical Hedonic Games of Bounded Treewidth , 2016, AAAI.

[9]  Matthew O. Jackson,et al.  The Stability of Hedonic Coalition Structures , 2002, Games Econ. Behav..

[10]  Luca Becchetti,et al.  Inefficiency of Games with Social Context , 2013, Theory of Computing Systems.

[11]  Vittorio Bilò,et al.  Nash Stable Outcomes in Fractional Hedonic Games: Existence, Efficiency and Computation , 2018, J. Artif. Intell. Res..

[12]  Simina Brânzei,et al.  Social Distance Games , 2011, IJCAI.

[13]  Felix Brandt,et al.  Stable partitions in additively separable hedonic games , 2011, AAMAS.

[14]  Edith Elkind,et al.  Simple Causes of Complexity in Hedonic Games , 2015, IJCAI.

[15]  Tayfun Sönmez,et al.  Core in a simple coalition formation game , 2001, Soc. Choice Welf..

[16]  Martin Hoefer,et al.  Altruism in Atomic Congestion Games , 2013, TEAC.

[17]  Gianpiero Monaco,et al.  Online Coalition Structure Generation in Graph Games , 2018, AAMAS.

[18]  Craig Boutilier,et al.  Empathetic social choice on social networks , 2014, AAMAS.

[19]  Itai Ashlagi,et al.  Social Context Games , 2008, WINE.

[20]  Venkatesan Guruswami,et al.  Clustering with qualitative information , 2005, 44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings..

[21]  Michele Flammini,et al.  On Pareto Optimality in Social Distance Games , 2017, AAAI.

[22]  Gianpiero Monaco,et al.  Stable outcomes in modified fractional hedonic games , 2018, Autonomous Agents and Multi-Agent Systems.

[23]  Martin Olsen,et al.  Nash Stability in Additively Separable Hedonic Games and Community Structures , 2009, Theory of Computing Systems.

[24]  Qiang Zhang,et al.  Strategyproof Mechanisms for Additively Separable Hedonic Games and Fractional Hedonic Games , 2017, WAOA.

[25]  Coralio Ballester,et al.  NP-completeness in hedonic games , 2004, Games Econ. Behav..

[26]  Michele Flammini,et al.  Nash Stability in Social Distance Games , 2017, AAAI.