The Network of Weighted Majority Rules and Weighted Majority Games

Abstract The network organizes in space the weighted majority rules (WMR) and weighted majority games (WMG). The WMRs are the potentially optimal decision rules in uncertain dichotomous choice situations. The WMGs are the well-known subgroup of coalitional games. The nodes are the WMRs or the WMGs, and the directed edges are the decision profiles of the decision makers or the coalitions among the players, respectively. For any group of decision makers, the network yields the ranking of all the WMRs by their efficiency; for any group of players, it yields the differences among the WMGs in terms of winning and losing coalitions. Journal of Economic Literature Classification Numbers: C45, C70, C71, D81.