论文标题
关于具有有限或无限玩家的游戏的Alpha-Core解决方案
On Existence of alpha-Core Solutions for Games with Finite or Infinite Players
论文作者
论文摘要
这通过将p-开放条件和强大的p-开放条件引入没有有序偏好的游戏中，从而给出了α-核解决方案的两个结果。对于与无限玩家的游戏，获得了Alpha-Core解决方案的存在。其次，它提供了Kajii的简短证明（经济理论杂志56，194-205，1992）的Alpha-Core解决方案定理，此外，Kajii的定理等于浏览固定点定理。此外，获得的存在结果可能包括α-核解决方案的许多典型结果，以及最近的一些存在结果作为特殊情况。
This gives two existence results of alpha-core solutions by introducing P-open conditions and strong P-open conditions into games without ordered preferences. The existence of alpha-core solutions is obtained for games with infinite-players. Secondly, it provides a short proof of Kajii's (Journal of Economic Theory 56, 194-205, 1992) existence theorem for alpha-core solutions, further, the Kajii's theorem is equivalent to the Browder fixed point theorem. In addition, the obtained existence results can include many typical results for alpha-core solutions and some recent existence results as special cases.
