顾森:稳定婚姻问题和Gale-Shapley算法 - 博客 - 伯乐在线



顾森:稳定婚姻问题和Gale-Shapley算法 - 博客 - 伯乐在线

在这种策略中,男孩儿将一轮一轮地去追求他中意的女子,女子可以选择接受或者拒绝他的追求者。第一轮,每个男孩儿都选择自己名单上排在首位的女孩儿,并向她表白。此时,一个女孩儿可能面对的情况有三种:没有人跟她表白,只有一个人跟她表白,有不止一个人跟她表白。在第一种情况下,这个女孩儿什么都不用做,只需要继续等待;在第二种情况下,接受那个人的表白,答应暂时和他做情侣;在第三种情况下,从所有追求者中选择自己最中意的那一位,答应和他暂时做情侣,并拒绝所有其他追求者。


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