In this paper, we introduce a notion of mergeable weighted majority games with the aim of providing the first characterization of the Colomer-Mart\'inez power index (Colomer and Mart\'inez in J Theor Polit 7(1):41-63, 1995). Furthermore, we define and characterize a new power index for the family of weighted majority games that combines ideas of the Public Good (Holler in Polit Stud 30(2):262-271, 1982) and Colomer-Mart\'inez power indices. Finally, we analyze the National Assembly of Ecuador using these and some other well-known power indices.

翻译：本文引入可合并加权多数博弈的概念，旨在首次对Colomer-Martínez权力指数（Colomer and Martínez, J Theor Polit 7(1):41-63, 1995）进行公理化刻画。此外，我们定义并刻画了一类面向加权多数博弈族的新权力指数，该指数融合了公共品指数（Holler, Polit Stud 30(2):262-271, 1982）与Colomer-Martínez权力指数的思想。最后，我们运用这些指数及其他一些著名权力指数对厄瓜多尔国民议会进行了分析。