(1) Department of Applied Mathematics II and Industrial Engineering School of Terrassa, Polytechnic University of Catalonia, ETSEIT, 577, E-08220 Terrassa, Spain
Abstract:
By focusing on the protectionist tendency found in the design of voting games, a thorough analysis is provided for the role of blocking coalitions in a simple game. We characterize those blocking families that univocally determine the game, and show that otherwise at least three games share a given nonempty blocking family, also giving an upper bound for the number of such games. Some examples illustrate the application of these ideas to political science.
