The Condorcet Efficiency of a voting rule is defined as the conditional probability that the voting rule elects the Pairwise Majority Rule Winner (PMRW), given that a PMRW exists. Five simple voting rules are considered in this paper: Plurality Rule, Negative Plurality Rule, Borda Rule,...

This essay examines the sensitivity of collective rankings and winners to the weights used in score vectors that are applied to sets of individual rankings to yield collectieve rankings in a typical additive manner. The paper considers probabilities of getting the same winner and the same...

This paper has examined the relationship between social homogeneity measured by σ(p)=p <Subscript>1</Subscript> <Superscript>2</Superscript> + ... + p <Subscript>6</Subscript> <Superscript>2</Superscript> and the likelihood of Condorcet's paradox. Attention was restricted to three-candidate elections. It was shown first that the most general restriction on p vectors that produces a definite...</superscript></subscript></superscript></subscript>