Welfare Maximization in Fractional Hedonic Games Haris Aziz and Serge Gaspers Joachim Gudmundsson and Julia?n Mestre
Abstract
We consider the computational complexity of computing welfare maximizing partitions for fractional hedonic games—a natural class of coalition formation games that can be succinctly represented by a graph. For such games, welfare maximizing partitions constitute desirable ways to cluster the vertices of the graph. We present both intractability results and approximation algorithms for computing welfare maximizing partitions.