On generating functions to compute some power measures for weighted majority games
本文提出基于生成函数的新方法，用于计算加权多数博弈中的约翰斯顿指数和科洛默-马丁内斯测度，并引入一种结合两者原理的新权力测度及其计算过程，同时介绍新R包的功能并用实例展示其性能。
Abstract In this paper we introduce new procedures, based on generating functions, for calculating some power measures for weighted majority games. In particular, we present methods for computing the Johnston index and the Colomer–Martínez measure. Besides, we introduce a new power measure that combines the principles underlying the Johnston index and Colomer–Martínez measure as well as a procedure for computing it using generating functions. Finally, we introduce the new R package and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example.