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 utility and stability


Optimizing Expected Utility and Stability in Role Based Hedonic Games

AAAI Conferences

In the hedonic coalition formation game model Roles Based Hedonic Games (RBHG), agents view teams as compositions of available roles. An agent's utility for a partition is based upon which roles she and her teammates fulfill within the coalition. I show positive results for finding optimal or stable role matchings given a partitioning into teams. In settings such as massively multiplayer online games, a central authority assigns agents to teams but not necessarily to roles within them. For such settings, I consider the problems of optimizing expected utility and expected stability in RBHG. I show that the related optimization problems for partitioning are NP-hard. I introduce a local search heuristic method for approximating such solutions. I validate the heuristic by comparison to existing partitioning approaches using real-world data scraped from League of Legends games.