Duddy, Conal (2012): Condorcet's principle and the strong no-show paradoxes.
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We consider two no-show paradoxes, in which a voter obtains a preferable outcome by abstaining from a vote. One arises when the casting of a ballot that ranks a candidate in first causes that candidate to lose the election. The other arises when a ballot that ranks a candidate in last causes that candidate to win. We show that when there are at least four candidates and when voters may express indifference, every voting rule satisfying Condorcet's principle must generate both of these paradoxes.
|Item Type:||MPRA Paper|
|Original Title:||Condorcet's principle and the strong no-show paradoxes|
|Keywords:||Condorcet; no show; paradox; abstention; voting; participation; positive involvement; negative involvement|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations
|Depositing User:||Conal Duddy|
|Date Deposited:||24 Sep 2012 16:48|
|Last Modified:||15 Mar 2017 13:32|
S. Brams and P. Fishburn, Paradoxes of preferential voting, Mathematics Magazine 56, No. 5 (1983), 207-214.
A. N. Condorcet, Marquis de, Essai sur l'application de l'analyse à la probabilité des decisions rendues à la probabilité de voix, Paris, 1785.
G. Kramer, A dynamical model of political equilibrium, Journal of Economic Theory 16 (1977), 310-334.
D. Lepelley and V. Merlin, Scoring run-off paradoxes for variable electorates, Economic Theory 17 (2001), 53-80.
J. C. Meredith, Proportional Representation in Ireland, University Press, Dublin, 1913.
H. Moulin, Condorcet's principle implies the no show paradox, Journal of Economic Theory 45 (1988), 53-64.
H. Nurmi, Voting Procedures under Uncertainty, Springer-Verlag, Berlin, 2002.
J. Pérez, The strong no-show paradoxes are a common flaw in Condorcet voting correspondences, Social Choice and Welfare 33 (2001), 343-359.
Report of the Royal Commission Appointed to Enquire into Electoral Systems, HMSO, London, 1910.
J. T. Richelson, A comparative analysis of social choice functions III, Behavioral Science 23 (1978), 169-176.
D. G. Saari, Basic Geometry of Voting, Springer-Verlag, New York, 1995.
J. H. Smith, Aggregation of preferences with variable electorate, Econometrica 41, No. 6 (1973), 1027-1041.
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