# Weak Condorcet winner(s) revisited

@article{Felsenthal2014WeakCW, title={Weak Condorcet winner(s) revisited}, author={Dan S. Felsenthal and Nicolaus Tideman}, journal={Public Choice}, year={2014}, volume={160}, pages={313-326} }

A strong Condorcet winner (SCW) is an alternative, x, that a majority of voters rank higher than z, for every other alternative, z. A weak Condorcet winner (WCW) is an alternative, y, that no majority of voters rank below any other alternative, z, but is not a SCW. There has been some confusion in the voting/social choice literature as to whether particular voting rules that are SCW-consistent are also WCW-consistent. The purpose of this paper is to revisit this issue, clear up the confusion… Expand

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#### References

SHOWING 1-10 OF 46 REFERENCES

CONDORCET'S THEORY OF VOTING

- Economics, Sociology
- 1988

Condcrcet's criterion states that an alternative that defeats every other by a simple majority is the socially optimal choice. Condorcet argued that if the object of voting is to determine the… Expand

The Condorcet efficiency of approval voting and the probability of electing the Condorcet loser

- Economics
- 1998

Abstract The Condorcet winner in an election is an alternative that would defeat each of the other alternatives in a series of pairwise elections. The Condorcet efficiency of a voting rule is the… Expand

Condorcet Social Choice Functions

- Mathematics
- 1977

A Condorcet social choice function elects the candidate that beats every other candidate under simple majority when such a candidate exists. Various extensions of Condorcet’s simple majority… Expand

Approval Voting, Borda Winners, and Condorcet Winners: Evidence From Seven Elections

- Economics
- 1998

We analyze 10 three-candidate elections (and mock elections) conducted under approval voting (AV) using a method developed by Falmagne and Regenwetter (1996) that allows us to construct a… Expand

A Consistent Extension of Condorcet’s Election Principle

- Mathematics
- 1978

Condorcet’s principle of choosing the majority alternative whenever one exists is violated not only by Borda’s rule but by any scoring method; nevertheless the essential property of scoring… Expand

Mathematical Structure of Voting Paradoxes: I. Pairwise Votes

- Mathematics
- 1999

A theory is developed to identify, characterize, and explain all possible positional and pairwise voting outcomes that can occur for any number of alternatives and any profile. This paper describes… Expand

Mathematical structure of voting paradoxes

- Computer Science
- 2000

P pairwise voting is described where new results include explanations for all paradoxes, cycles, conflict between Borda and Condorcet rankings, differences among procedures using pairwise votes, and discrepancies among the societal rankings as candidates are dropped or added. Expand

Independence of clones as a criterion for voting rules

- Mathematics
- 1987

Abstract“Independence of clones” is a generalization of the condition of not being subject to the perverse consequences of vote splitting that arise under plurality voting. A new voting rule that is… Expand

A majority-rule characterization with multiple extensions

- Economics
- 1986

When May's necessary and sufficient conditions for majority rule as a binary voting rule are extended in a natural way to decisions over more than two options, the resulting conditions are consistent… Expand

AGGREGATION OF PREFERENCES WITH VARIABLE ELECTORATE

- Economics
- 1973

IN THIS PAPER we consider procedures for going from several individual preferences among several alternatives, called candidates, to something which may be called a collective preference. The… Expand