# Condorcet efficiency: A preference for indifference

@article{Gehrlein2001CondorcetEA, title={Condorcet efficiency: A preference for indifference}, author={William V. Gehrlein and Fabrice Valognes}, journal={Social Choice and Welfare}, year={2001}, volume={18}, pages={193-205} }

Abstract. The Condorcet winner in an election is the candidate who would be able to defeat all other candidates in a series of pairwise elections. The Condorcet efficiency of a voting procedure is the conditional probability that it will elect the Condorcet winner, given that a Condorcet winner exists. The study considers the Condorcet efficiency of weighted scoring rules (WSR's) on three candidates for large electorates when voter indifference between candidates is allowed. It is shown that… Expand

#### 25 Citations

The Condorcet Efficiency Advantage that Voter Indifference Gives to Approval Voting Over Some Other Voting Rules

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- 2014

Approval Voting is known to possess many good properties when voters have dichotomous preferences. But, when attention was restricted to the limiting case for large electorates with three candidates… Expand

Condorcet efficiency of the preference approval voting and the probability of selecting the Condorcet loser

- Mathematics, Computer Science
- Theory and Decision
- 2019

Analytical representations for the probability that PAV elects the Condorcet winner when she exists in three-candidate elections with large electorates are provided and, to measure at which extend, PAV performs better than AV both on the propensity of electing thecondorcet loser and on that of the non-election of the Condorfet loser. Expand

Condorcet efficiency of general weighted scoring rules under IAC: indifference and abstention

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In an election, individuals may sometimes abstain or report preferences that include ties among candidates. How abstention or ties within individual preferences impact the performances of voting… Expand

On the Condorcet efficiency of approval voting and extended scoring rules for three alternatives

- Computer Science
- 2010

The results presented in this chapter belong to the long tradition of evaluating the voting rules on their propensity to select the Condorcet winner. This tradition dates back to de Borda (1781), who… Expand

The Impact of Voter Indifference

- Computer Science
- 2017

The Forced Ranking Option is shown to be a very poor solution to this problem and it is found that Approval Voting will never have superior performance when it is compared to Extended Borda Rule on the basis of Condorcet Efficiency. Expand

The impact of dependence among voters’ preferences with partial indifference

- Economics
- 2016

Standard weighted scoring rules do not directly accommodate the possibility that some voters might have dichotomous preferences in three-candidate elections. The direct solution to this issue would… Expand

The Impact of Forcing Preference Rankings When Indifference Exists

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- 2010

It is definitely possible that situations might exist in which some voters in a three candidate election could be completely indifferent between some of the available candidates. Several… Expand

Primarily about Primaries

- Computer Science
- AAAI
- 2019

This work presents a model to analyze multi-stage elections, and conducts the first quantitative comparison (to the best of the knowledge) of the direct and primary voting systems with two political parties in terms of the quality of the elected candidate. Expand

On the (Sample) Condorcet Efficiency of Majority Rule: An alternative view of majority cycles and social homogeneity

- Economics
- 2002

The Condorcet efficiency of a social choice procedure is usually defined as the probability that this procedure coincides with the majority winner (or majority ordering) in random samples, given a… Expand

Condorcet's paradox for weak preference orderings

- Economics
- 2001

Abstract We provide in this note some analytical representations for the probability of the Condorcet paradox when voter indifference between alternatives is allowed. The probability of having a… Expand

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