Axiomatizations of the core on the universal domain and other natural domains
Axiomatizations of the core on the universal domain and other natural domains
复制标题
通用域和其他自然域上核心的公理化
DOI：
10.1007/s001820100060
复制
发表时间：
2000
影响因子：
0.6
通讯作者：
Peter Sudhölter
中科院分区：
文献类型：
--
作者：
Yan;Peter Sudhölter
我们证明，玩家包含在至少五个成员的宇宙中的所有可转移效用博弈集合的核心可以通过零非必要博弈属性、策略等价下的协方差、匿名性、有界性、弱约化博弈属性、逆约化博弈属性和再确认属性来公理化。这些属性还表征了某些游戏子集的核心，例如完全平衡游戏集、平衡游戏集和超加性游戏集。这些属性的适当扩展产生了不可转移效用游戏集上核心的公理化。
We prove that the core on the set of all transferable utility games with players contained in a universe of at least five members can be axiomatized by the zero inessential game property, covariance under strategic equivalence, anonymity, boundedness, the weak reduced game property, the converse reduced game property, and the reconfirmation property. These properties also characterize the core on certain subsets of games, e.g., on the set of totally balanced games, on the set of balanced games, and on the set of superadditive games. Suitable extensions of these properties yield an axiomatization of the core on sets of nontransferable utility games.