Institut for Forretningsudvikling og Teknologi

Fractional hedonic games

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  • Haris Aziz, University of New South Wales (UNSW) Australia
  • ,
  • Florian Brandl, Technische Universitat Munchen
  • ,
  • Felix Brandt, Technische Universitat Munchen
  • ,
  • Paul Harrenstein, Oxford University, Oxford, UK.
  • ,
  • Martin Olsen
  • Dominik Peters, Oxford University, Oxford, UK.

The work we present in this article initiated the formal study of fractional hedonic games (FHGs), coalition formation games in which the utility of a player is the average value he ascribes to the members of his coalition. Among other settings, this covers situations in which players only distinguish between friends and non-friends and desire to be in a coalition in which the fraction of friends is maximal. FHGs thus not only constitute a natural class of succinctly representable coalition formation games but also provide an interesting framework for network clustering.We propose a number of conditions under which the core of FHGs is nonempty and provide algorithms for computing a core stable outcome. By contrast, we show that the core may be empty in other cases, and that it is computationally hard in general to decide non-emptiness of the core.

TidsskriftACM Transactions on Economics and Computation
StatusUdgivet - jun. 2019

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