Paper Info
Title
To vote or not to vote: what is the quota?
Abstract
The observation of a new type of perverse behavior of voting rules—Brams and Fishburn's “no-show paradox”—led Moulin to introduce the Participation Axiom (PA). It requires that an elector's failure to vote should never result in the election of a candidate whom he/she prefers to the one elected if he/she votes sincerely. The present paper examines PA in the context of Condorcet-type conditions. For a given quota q , 1 2 ≤q≤1 , the q -Core Condition ( q CC) requires that whenever there exists a candidate such that no other candidate is preferred to him/her by a fraction of q or more of the voters, the elected candidate should have this property. It is shown here that PA and q CC are consistent iff q≥ (m−1) m or m ≤3, where m is the number of candidates. This essentially confirms a conjecture of Moulin and extends his original result for q= 1 2 .
Year
DOI
Venue
1989
10.1016/0166-218X(88)90088-1
Discrete Applied Mathematics
Field
DocType
Volume
Combinatorics,Contingent vote,Existential quantification,Voting,Axiom,Moulin,Conjecture,Mathematics
Journal
22
Issue
ISSN
Citations 
2
Discrete Applied Mathematics
2
PageRank 
References 
Authors
0.51
0
1
Name
Order
Citations
PageRank
Ron Holzman128743.78