Hedonic Expertise Games [article]

Bugra Caskurlu, Fatih Erdem Kizilkaya, Berkehan Ozen
2020 arXiv   pre-print
We consider a team formation setting where agents have varying levels of expertise in a global set of required skills, and teams are ranked with respect to how well the expertise of teammates complement each other. We model this setting as a hedonic game, and we show that this class of games possesses many desirable properties, some of which are as follows: A partition that is Nash stable, core stable and Pareto optimal is always guaranteed to exist. A contractually individually stable
more » ... (and a Nash stable partition in a restricted setting) can be found in polynomial-time. A core stable partition can be approximated within a factor of 1 - 1/e, and this bound is tight unless P = NP. We also introduce a larger and relatively general class of games, which we refer to as monotone submodular hedonic games with common ranking property. We show that the above multi-concept existence guarantee also holds for this larger class of games.
arXiv:2011.01778v1 fatcat:f3gizc3yqfa4dbjb6s5heynsle