论文标题
享乐专业知识游戏
Hedonic Expertise Games
论文作者
论文摘要
我们考虑一个团队组成的设置，代理在全球必需技能中具有不同水平的专业知识，并且在队友之间的专业知识方面对团队进行了排名。我们将此设置建模为享乐游戏，我们表明此类游戏具有许多理想的属性，其中一些属性如下：nash稳定，核心稳定和帕累托最佳的分区始终保证存在。可以在多项式时间中找到合同的单独稳定分区（以及限制设置中的NASH稳定分区）。核心稳定分区可以近似于$ 1- \ frac {1} {e} $，除非$ \ sf p = np $。我们还引入了更大且相对一般的游戏类别，我们将其称为具有共同排名属性的单调性享乐游戏。我们表明，以上多概念的存在保证也适用于这种较大的游戏。
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 partition (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 $1 - \frac{1}{e}$, and this bound is tight unless $\sf P = NP$. 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.
