以下是引用arhwa在2005-9-29 20:54:45的发言: 这个问题可以推广到n(>1)个人的情形。
我的感觉是偶数时有唯一的纯策略纳什均衡,奇数时没有纯策略纳什均衡。
n=4时,是楼上所说的两人在1/4处,两人在3/4处。n=6时,两人在1/6,两人在3/6,两人在5/6。
n=2k时,类似两人一组,分别在1/2k,3/2k,...,(2k-1)/2k。不知道对不对?
I'm sorry that your guess might not hold. If n=5, there at least exists a Nash Equilibrium of pure strategies, which is (1/6, 1/6, 1/2, 5/6, 5/6). I have to admit that, however, generalizing the problem is some kind of exciting work.