Learning Hedonic Games

Coalitional stability in hedonic games has usually been considered in the setting where agent preferences are fully known. We consider the setting where agent preferences are unknown; we lay the theoretical foundations for studying the interplay between coalitional stability and (PAC) learning in hedonic games. We introduce the notion of PAC stability — the equivalent of core stability under uncertainty — and examine the PAC stabilizability and learnability of several popular classes of hedonic games.

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

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

[3]  Craig Boutilier,et al.  Bayesian reinforcement learning for coalition formation under uncertainty , 2004, Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems, 2004. AAMAS 2004..

[4]  Edith Elkind,et al.  Hedonic Games with Graph-restricted Communication , 2016, AAMAS.

[5]  Maria-Florina Balcan,et al.  Learning Combinatorial Functions from Pairwise Comparisons , 2016, COLT.

[6]  Maria-Florina Balcan,et al.  Sample Complexity of Automated Mechanism Design , 2016, NIPS.

[7]  Katarína Cechlárová,et al.  Stability in coalition formation games , 2000, Int. J. Game Theory.

[8]  Jana Hajduková,et al.  Stable partitions with W -preferences , 2004, Discret. Appl. Math..

[9]  Maria-Florina Balcan,et al.  Learning Cooperative Games , 2015, IJCAI.

[10]  Roger B. Myerson,et al.  Virtual utility and the core for games with incomplete information , 2004, J. Econ. Theory.

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

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

[13]  Gerhard J. Woeginger,et al.  Core Stability in Hedonic Coalition Formation , 2012, SOFSEM.

[14]  Umesh V. Vazirani,et al.  An Introduction to Computational Learning Theory , 1994 .

[15]  Maria-Florina Balcan,et al.  Learning Valuation Functions , 2011, COLT.

[16]  Milind Tambe,et al.  Learning Adversary Behavior in Security Games: A PAC Model Perspective , 2015, AAMAS.

[17]  Jana Hajduková,et al.  Computational complexity of stable partitions with B-preferences , 2003, Int. J. Game Theory.

[18]  José Alcalde,et al.  Researching with whom? Stability and manipulation , 2004 .

[19]  Rahul Savani,et al.  Hedonic Games , 2016, Handbook of Computational Social Choice.

[20]  Haris Aziz,et al.  Existence of stability in hedonic coalition formation games , 2012, AAMAS.

[21]  Amnon Shashua,et al.  Introduction to Machine Learning: Class Notes 67577 , 2009, ArXiv.

[22]  Paul Harrenstein,et al.  Fractional Hedonic Games , 2014, AAMAS.

[23]  Peter L. Bartlett,et al.  Neural Network Learning - Theoretical Foundations , 1999 .

[24]  Gerhard J. Woeginger,et al.  Two hardness results for core stability in hedonic coalition formation games , 2013, Discret. Appl. Math..

[25]  Craig Boutilier,et al.  Coalition formation under uncertainty: bargaining equilibria and the Bayesian core stability concept , 2007, AAMAS '07.