Condorcet winner criterion: Difference between revisions
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The '''Condorcet candidate''' or '''Condorcet winner''' of an [[election]] is the candidate who, when compared in turn with each of the other candidates, is preferred over the other candidate. Mainly because of Condorcet's [[voting paradox]], a Condorcet winner will not always exist in a given set of votes. |
The '''Condorcet candidate''' or '''Condorcet winner''' of an [[election]] is the candidate who, when compared in turn with each of the other candidates, is preferred over the other candidate. On a one-dimensional [[political spectrum]], the Condorcet winner will be at the position of the median voter. Mainly because of Condorcet's [[voting paradox]], a Condorcet winner will not always exist in a given set of votes. |
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The '''Condorcet criterion''' for a [[voting system]] is that it chooses the Condorcet winner when one exists. Any method conforming to the Condorcet criterion is known as a [[Condorcet method]]. |
The '''Condorcet criterion''' for a [[voting system]] is that it chooses the Condorcet winner when one exists. Any method conforming to the Condorcet criterion is known as a [[Condorcet method]]. |
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<blockquote><table> |
<blockquote><table> |
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<tr><td align=right>499:</td><td align=left>A |
<tr><td align=right>499:</td><td align=left>A>B>C</td></tr> |
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<tr><td align=right>498:</td><td align=left>C |
<tr><td align=right>498:</td><td align=left>C>B>A</td></tr> |
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<tr><td align=right>3:</td><td align=left>B |
<tr><td align=right>3:</td><td align=left>B>C>A</td></tr> |
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</table></blockquote> |
</table></blockquote> |
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