Potentials in Social Environments
将标准型博弈的势概念扩展到一般社会环境,建立统一分析框架,按宽松程度排序不同势,并分类构造方法,应用于匹配、投票交易、多边贸易等经典问题。
We develop and extend notions of potentials for normal-form games (Monderer and Shapley, 1996) to present a unified approach for the general class of social environments. The different potentials and corresponding social environments can be ordered in terms of their permissiveness. We classify different methods to construct potentials and we characterize potentials for specific examples such as matching problems, vote trading, multilateral trade, TU games, and various pillage games.