Learning hedonic games

Abstract

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.