Two families of values for global cooperative games
研究了全局合作博弈中两类点值解,它们包含Gilboa-Lehrer值,并通过合理性质进行刻画,对博弈论和公共财政领域有参考价值。
Abstract A global (cooperative) game describes the utility that the whole set of players generates depending on the coalition structure they form. These games were introduced by Gilboa and Lehrer (Int J Game Theory 20:129–147, 1991) who proposed and characterized a generalization of the Shapley value. We introduce two families of point valued solutions that contain the Gilboa–Lehrer value. We characterize each family by means of reasonable properties, which are related to the ones used by Gilboa and Lehrer.