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Jury theorem: The jury theorem is a mathematical theorem that states that, under certain assumptions, a majority vote of a large group is more likely to be correct than the decision of any individual member of the group. See also Collective intelligence.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Nicolas de Condorcet on Jury Theorem - Dictionary of Arguments

Gaus I 148
Jury theorem/Condorcet/Dryzek: This theorem demonstrates that if each citizen has a better than even chance of being correct in his/her judgement, then the larger the number of voters, the greater the chance of the majority choosing the correct option. The jury theorem therefore justifies the rationality of majoritarian democracy, at least in a republican context of a search for the common good, though only if each citizen reaches and exercises independent judgement. So there should be no factions (which reduce the effective number of voters) and, it might seem, no communication. These, at least, were Rousseau's own views: deliberation should only be a matter of internal reflection, not communication. However, as Robert Goodin (2002(1): 125) and others point out, discussion is fine so long as people then subsequently exercise their own independent judgements when voting. >Democracy/Dryzek
, >Deliberative Democray/Dryzek.
Problems with deliberation and democracy: If democracy involves aggregation (however much it is downplayed by deliberative democrats), that can be across judgements and not just across preferences as emphasized in social choice theory. Such judgements can involve disagreement over (say) what is in the common good. This epistemic way of thinking about democracy is associated with Rousseau, according to whom the general will can be ascertained by voting. Bernard Grofman and Scott Feld (1988)(2) argue that if indeed there is such a thing as the common good, though people differ in their judgements about which option will best serve it, then Condorcet's jury theorem applies.

1 Goodin, Robert E. (2002) Reflective Democracy. Oxford: Oxford University Press.
2. Grofman, Bernard and Scott Feld (1988) 'Rousseau's general will: a Condorcetian perspective'. American Political Science Review, 82: 567-76.

Dryzek, John S. 2004. „Democratic Political Theory“. In: Gaus, Gerald F. & Kukathas, Chandran 2004. Handbook of Political Theory. SAGE Publications


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Parisi I 494
Jury theorem/Condorcet/Nitzan/Paroush: The Marquis de Condorcet (1743–1794) is considered one of the pioneers of the social sciences. In the English literature, Baker (1976)(1) and Black (1958)(2) were among the first to turn the attention of the scientific community to the importance of Condorcet’s writings (see Young, 1995)(3).
In 1785 no jury existed in France. Condorcet applied probability theory to judicial questions and argued that the English demand for unanimity among jurors was unreasonable, suggesting instead a jury of twelve members that can convict with a majority of at least ten.
>Condorcet Jury Theorem, >Decision-making processes.

1. Baker, M. K., ed. (1976). Condorcet: selected writings. Indianapolis, IN: Bobbs-Merrill.
2. Black, D. (1958). The Theory of Committees and Elections. Cambridge: Cambridge University Press.
3. Young, P. (1995). “Optimal Voting Rules.” Journal of Economic Perspectives 9(1): 51–64.

Shmuel Nitzan and Jacob Paroush. “Collective Decision-making and the Jury Theorems”. In: Parisi, Francesco (ed) (2017). The Oxford Handbook of Law and Economics. Vol 1: Methodology and Concepts. NY: Oxford University.

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Condo I
N. de Condorcet
Tableau historique des progrès de l’ esprit humain Paris 2004

Gaus I
Gerald F. Gaus
Chandran Kukathas
Handbook of Political Theory London 2004

Parisi I
Francesco Parisi (Ed)
The Oxford Handbook of Law and Economics: Volume 1: Methodology and Concepts New York 2017


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