Simple games are mathematical structures inspired by voting systems in which a single alternative. The mathematical study of the subject as a coherent subfield of finite combinatorics, this book includes introductory material, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. "The authors provide a deep analysis of simple games, particularly with respect to their central concerns of trading, weightedness, and coalitional ordering. They bring a fresh perspective to the field by approaching it from a voting-theoretic angle and utilizing the tools of threshold logic."-Duncan J. Melville, St. Lawrence University