Results 121 to 130 of about 5,227 (157)
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Condorcet's paradox for weak preference orderings
European Journal of Political Economy, 2001Abstract 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 Condorcet winner is also considered. Our results show that indifference reduces the likelihood of the paradox, thus improving the ability of the majority ...
Dominique Lepelley
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Condorcet’s Paradox and Ultrafilters
American Mathematical Monthly, 2020We prove a version of Arrow’s impossibility theorem that at its heart is essentially Condorcet’s voting paradox.
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Condorcet's paradox under the maximal culture condition
Economics Letters, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dominique Lepelley
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No Show Paradox in Condorcet k-voting Procedures
Group Decision and Negotiation, 2010In this paper we extend the negative known results about No Show Paradox in Condorcet voting functions and correspondences to the contexts of k-functions and k-correspondences, in which the outcome of the voting process is a unique k-committee (set of k candidates) or a family of k-committees.
Joaquín Pérez
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On the empirical relevance of Condorcet’s paradox
Public Choice, 2013Condorcet’s paradox occurs when there is no alternative that beats every other alternative by majority. The paradox may pose real problems to democratic decision making such as decision deadlocks and democratic paralysis. However, its relevance has been discussed again and again since the celebrated works of Arrow (Social choice and individual values ...
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The expected probability of Condorcet's paradox
Economics Letters, 1981Abstract Let P ( n,p ) be the probability that there is a Condorcet winner on three alternatives for n (odd) voters. The vector p defines the probability that a randomly selected voter will have any of the six linear rankings on three alternatives as his or her preference ranking.
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Voters’ preference diversity, concepts of agreement and Condorcet’s paradox
Quality and Quantity, 2014Gehrlein et al. (Math Soc Sci 66:352–365, 2013) have shown that an increase of the voters’ preference diversity, as measured by the number kkk of preference types in a voting situation, implies a decrease in the probability of having a Condorcet Winner. The results offered in this paper indicate that this relationship is far from being so clear when we
Dominique Lepelley, Issofa Moyouwou
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Condorcet's Paradox with Three Candidates
Studies in Choice and Welfare, 2009Condorcet formally developed the notion of cyclical majorities over two centuries ago (Condorcet, 1785), and Peter Fishburn introduced me to that phenomenon in 1971. When Peter first described the idea behind Condorcet’s Paradox during a course in Social Choice Theory at Pennsylvania State University, my response was that the phenomenon simply could ...
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Condorcet's principle implies the no show paradox
Journal of Economic Theory, 1988There are voting methods where it is better for a voter not to vote than to cast a sincere ballot. \textit{S. J. Brams} and \textit{P. C. Fishburn} [Math. Mag. 56, 207-214 (1983; Zbl 0521.90006)] have described voting procedures where the ``no show paradox'' arises.
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