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Probabilistic Social Choice Based on Simple Voting Comparisons

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  • P. C. Fishburn

Abstract

A social choice procedure is developed for selecting an alternative from a finite set on the basis of paired-comparison voting. Ballot data are used to construct a lottery on the alternatives that is socially as preferred as every other lottery. The constructed lottery is then used to select a winner. An axiomatization of social preferences among lotteries that justifies the procedure is included. The procedure will always select a consensus majority alternative when one exists, and it will never select an alternative that is Pareto dominated by another alternative.

Suggested Citation

  • P. C. Fishburn, 1984. "Probabilistic Social Choice Based on Simple Voting Comparisons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 683-692.
    • Handle: RePEc:oup:restud:v:51:y:1984:i:4:p:683-692.
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    File URL: http://hdl.handle.net/10.2307/2297786
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