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Condorcet paradox. In social choice theory, a Condorcet paradox (or voting paradox) is a situation where majority rule behaves in a way that is self-contradictory. In such a situation, every possible choice is rejected by the electorate in favor of another, because there is always some other outcome that a majority of voters consider to be better.
May 20, 2024 · A paradox of intransitive preferences arising from the aggregation of individual transitive preferences under majority rule. Learn about its history, examples, and implications for voting systems and social choice theory.
Aug 3, 2011 · 3.1 Condorcet’s Paradox. 3.1.1 Electing the Condorcet Winner; 3.2 Failures of Monotonicity; 3.3 Variable Population Paradoxes; 3.4 The Multiple Elections Paradox; 4. Topics in Voting Theory. 4.1 Strategizing; 4.2 Characterization Results; 4.3 Voting to Track the Truth; 4.4 Computational Social Choice; 5. Concluding Remarks. 5.1 From Theory to ...
Dec 18, 2013 · Condorcet’s second insight, often called Condorcet’s paradox, is the observation that majority preferences can be ‘irrational’ (specifically, intransitive) even when individual preferences are ‘rational’ (specifically, transitive). Suppose, for example, that one third of a group prefers alternative \(x\) to \(y\) to \(z\), a second ...
Oct 13, 2014 · The tenor of Arrow’s theorem is deeply antithetical to the political ideals of the Enlightenment. It turns out that Condorcet’s paradox is indeed not an isolated anomaly, the failure of one specific voting method. Rather, it manifests a much wider problem with the very idea of collecting many individual preferences into one.
Aug 9, 2014 · History. Condorcet paradox. M.J.A.N. de Caritat, Marquis de Condorcet, studied the problem of determining the most likely correct choice, under voting by a group of decision-makers. In this, his work is closely related to that of J.-Ch. Borda.
Condorcet’s Paradox and Condorcet Winners. Theorem. If a Condorcet Cycle occurs, then there is no Condorcet Winner. Proof. Olken () Voting 5 / 20. Consider a Condorcet Cycle of arbitrary length of the form x ˜a. j ˜... ˜a. k ˜x Is x a Condorcet Winner? No, because x ˜a. j. and a. k ˜x. Is anything else a Condorcet Winner?
