Probabilistic Owen-Shapley spatial power indices
研究了概率型Owen-Shapley空间权力指数，给出了其在一致博弈中的显式公式和公理化刻画，对博弈论和投票权力分析有参考价值。
In this paper we study probabilistic Owen-Shapley spatial power indices, which are generalizations of the Owen-Shapley spatial power index (1977). We provide an explicit formula for calculating these spatial indices for unanimity games and give an axiomatic characterization of the family of probabilistic Owen-Shapley spatial power indices. We employ an equal power change property, a spatial dummy property, anonymity, a positional invariance property, and a positional continuity property. Some examples are also given.