Stability in Role Based Hedonic Games
نویسندگان
چکیده
In the hedonic coalition formation game model Roles and Teams Hedonic Games (RTHG) (Spradling et al. 2013), agents view teams as compositions of available roles. An agent’s utility for a partition is based upon which role she fulfills within the coalition and which additional roles are being fulfilled within the coalition. Goals for matchmaking in this setting include forming partitions which optimize some function of the utility. Optimization problems related to finding Perfect, MaxSum and MaxMin partitions in RTHG are all known to be NP-hard. In this paper, we introduce a Role Based Hedonic Game model (RBHG) which has no fixed team size and a more relaxed set of compositions. We consider the related problem of stability in RBHG. Given a set of available movements for agents, a partition is stable iff no agent would choose to move from the partition to another partition. We show NP-completeness for several RBHG stability problems and coNP-completeness for two verification prob-
منابع مشابه
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 un...
متن کاملFractional Hedonic Games: Individual and Group Stability
Coalition formation provides a versatile framework for analyzing cooperative behavior in multi-agent systems. In particular, hedonic coalition formation has gained considerable attention in the literature. An interesting class of hedonic games recently introduced by Aziz et al. [3] are fractional hedonic games. In these games, the utility an agent assigns to a coalition is his average valuation...
متن کاملHedonic coalition nets
In hedonic games, players have the opportunity to form coalitions, and have preferences over the coalitions they might join. Such games can be used to model a variety of settings ranging from multi-agent coordination to group formation in social networks. However, the practical application of hedonic games is hindered by the fact that the naive representation for such games is exponential in th...
متن کاملAltruistic Hedonic Games
Hedonic games are coalition formation games in which players have preferences over the coalitions they can join. All models of representing hedonic games studied so far are based upon selfish players only. Among the known ways of representing hedonic games compactly, we focus on friend-oriented hedonic games and propose a novel model for them that takes into account not only a player’s own pref...
متن کاملSimple Causes of Complexity in Hedonic Games
Hedonic games provide a natural model of coalition formation among self-interested agents. The associated problem of finding stable outcomes in such games has been extensively studied. In this paper, we identify simple conditions on expressivity of hedonic games that are sufficient for the problem of checking whether a given game admits a stable outcome to be computationally hard. Somewhat surp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015