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沉默协作:选哪个正整数

Silent Cooperation

专题
Probability / 概率
难度
L4

题目详情

Two strangers are separately asked to choose one of the positive whole numbers and advised that if they both choose the same number, they both get a prize. If you were one of these people, what number would you choose?

解析

题目没有给出任何偏好或分布信息,因此从博弈论角度看不存在“数学上必然最优”的唯一解(任意数字都可能被双方选中)。

实际面试中通常期待的回答是选择一个显著的焦点(Schelling point),最自然的是最小的正整数:

1.\boxed{1}.