Copeland's method: Difference between revisions
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'''Copeland's method''' is a [[Condorcet method]] in which the winner is determined by finding the candidate with the most pairwise victories. |
'''Copeland's method''' is a [[Condorcet method]] in which the winner is determined by finding the candidate with the most pairwise victories. It was invented by [[Ramon Llull]] in his 1299 treatise ''Ars Electionis'', but his form only counted pairwise victories and not defeats (which could lead to a different result in the case of a pairwise tie).<ref>{{cite journal |
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| title=Ramon Llull: From Ars Electionis to Social Choice Theory |
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| first=Josep |
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| last=Colomer |
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| journal=[[Social Choice and Welfare]] |
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| doi=10.1007/s00355-011-0598-2 |
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| year=2013 |
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| volume=40 |
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| issue=2 |
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| page=317-328 |
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| url=https://www.researchgate.net/publication/220007301_Ramon_Llull_From_Ars_Electionis_to_Social_Choice_Theory |
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}}</ref> |
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Proponents argue that this method is more understandable to the general populace, which is generally familiar with the sporting equivalent. In many team sports, the teams with the greatest number of victories in regular season matchups make it to the playoffs. |
Proponents argue that this method is more understandable to the general populace, which is generally familiar with the sporting equivalent. In many team sports, the teams with the greatest number of victories in regular season matchups make it to the playoffs. |
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Revision as of 06:23, 11 December 2019
Copeland's method is a Condorcet method in which the winner is determined by finding the candidate with the most pairwise victories. It was invented by Ramon Llull in his 1299 treatise Ars Electionis, but his form only counted pairwise victories and not defeats (which could lead to a different result in the case of a pairwise tie).[1]
Proponents argue that this method is more understandable to the general populace, which is generally familiar with the sporting equivalent. In many team sports, the teams with the greatest number of victories in regular season matchups make it to the playoffs.
This method leads to ties in cases when there are multiple members of the Smith set. Critics argue that it also puts too much emphasis on the quantity of pairwise victories rather than the magnitude of those victories (or conversely, of the defeats).
External references
- E Stensholt, "Nonmonotonicity in AV"; Electoral Reform Society Voting matters - Issue 15, June 2002 (online).
- A.H. Copeland, A 'reasonable' social welfare function, Seminar on Mathematics in Social Sciences, University of Michigan, 1951.
- V.R. Merlin, and D.G. Saari, "Copeland Method. II. Manipulation, Monotonicity, and Paradoxes"; Journal of Economic Theory; Vol. 72, No. 1; January, 1997; 148-172.
- D.G. Saari. and V.R. Merlin, 'The Copeland Method. I. Relationships and the Dictionary'; Economic Theory; Vol. 8, No. l; June, 1996; 51-76.
- ↑ Colomer, Josep (2013). "Ramon Llull: From Ars Electionis to Social Choice Theory". Social Choice and Welfare. 40 (2): 317-328. doi:10.1007/s00355-011-0598-2.