Condorcet N

When1:  1794

Who:    Marie Jean Antoine Nicolas de Caritat [Caritat, Marie Jean Antoine Nicolas de] or Marquis de Condorcet [Condorcet, Marquis de]

What:   philosopher

Where:  Paris, France

works\  Sketch for a Historical Picture of the Progress of the Human Mind [1795]

Detail: He lived 1743 to 1794, invented Condorcet paradox, and was philosophe.

Assume that there are more than two alternatives. Assume that voting members have transitive preferences among alternatives. Assume that voters always choose between two alternatives. Assume that alternative with majority vote wins contests among pairs. Then, person or law favored by most people does not necessarily win {paradox of voting} {voting paradox}. Voting order changes result. The voting paradox also requires that there be more than one choice criterion. If one criterion ranks alternatives {singlepeakedness}, voting order does not change result. Weighted voting eliminates voting paradox, but strategic voting can affect it.

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