Special majority rules. Necessary and sufficient condition for quasi- transitivity with quasi-transitive individual preferences (Q1082227)
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scientific article; zbMATH DE number 3972546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Special majority rules. Necessary and sufficient condition for quasi- transitivity with quasi-transitive individual preferences |
scientific article; zbMATH DE number 3972546 |
Statements
Special majority rules. Necessary and sufficient condition for quasi- transitivity with quasi-transitive individual preferences (English)
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1986
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Consider a social choice problem with a finite number of alternatives and at least three voters. Suppose that each voter's preference ordering is quasitransitive. Let P be the social prefererence ordering induced by special majorities (strictly greater than 1/2). The main result of the paper is a necessary and sufficient condition for P to be quasitransitive. The condition is a generalization of the familiar condition that there be no Condorcet cycle among three voters.
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quasitransitivity
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finite number of alternatives
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special majorities
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