Note—Opposition of Interest in Subjective Bayesian Theory
刻画了两个玩家利益完全对立的条件:要么都不是贝叶斯主义者,要么都有唯一的概率和效用函数(此时效用函数之和为零且概率分布相同),要么都有多个可能的概率和效用。结果对谈判和博弈论有启示。
A characterization is given of diametrically opposed interests between two players: either neither is a Bayesian, or both have a unique probability and utility function (up to the usual transformation) or both have many possible probabilities and utilities. In the second case, their utility functions must have representations that sum to zero, and they must have identical probability distributions on every uncertain event in the space. Implications of this result for negotiations and for game theory are discussed.