VARIOUS KINDS OF BINARY-SELECTION TYPE DECISION METHODS BY VOTING

Abstract

Known social decision methods are the majority rule, the unanimity rule, and the dictatorial consulation method. In this paper we introduce two characteristic measures, i. e. dictatorial rate γ and biassing rateδ, for treating social decision methods. The majority rule and the unanimity rule have0D-rate. But the dictatorial consultation method has1D-rate. The simple majority rule and the dicatorial consultation method have0B-rate. And the unanimity rule has1B-rate. There are many decision methods, whenever their rates satisfy0≤γ≤ 1, |δ|≤ 1-γ. The majority rule is sufficient for legislative organs. But for administrative organs neither the majority rule nor the dictatorial consultation method are appropriate. So we propose decision methods the rates of which satisfy0.25≤γ0.5, δ=0.For example if we set γ=0.5, δ=0, a bill will pass when the approbation is more than three quarters, that will be rejected when the opposition is more than three quarters, and otherwise the boss can decide as he likes.