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>