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Thirteen theorems in search of the truth

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TLDR
The authors review recent work on the accuracy of group judgmental processes as a function of the competences (judgmental accuracies) of individual group members, the group decision procedure, and the group size.
Abstract
We review recent work on the accuracy of group judgmental processes as a function of (a) the competences (judgmental accuracies) of individual group members, (b) the group decision procedure, and (c) group size. This work on individual competence and group accuracy represents an important contribution to democratic theory and a useful complement to the usual emphasis in the social choice literature on individual preference and preference aggregation mechanisms. The work reported on is rooted in a tradition which goes back to scholars such as Condorcet, Poisson, and Bayes.

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Citations
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Journal ArticleDOI

Culture as Consensus: A Theory of Culture and Informant Accuracy

TL;DR: In this article, a formal mathematical model for the analysis of informant responses to systematic interview questions is presented and tested in a situation in which the ethnographer does not know how much each informant knows about the cultural domain under consideration nor the answers to the questions.
Journal ArticleDOI

Application of majority voting to pattern recognition: an analysis of its behavior and performance

TL;DR: This paper examines the mode of operation of the majority vote method in order to gain a deeper understanding of how and why it works, so that a more solid basis can be provided for its future applications to different data and/or domains.

Condorcet's theory of voting

TL;DR: Condorcet resolut ce probleme en utilisant une forme d'estimation par le maximum de vraisemblance, a procedure qu'il en a tiree peut aussi etre justifiee a partir d'une perspective axiomatique moderne as mentioned in this paper.
Journal ArticleDOI

Condorcet's theory of voting

TL;DR: Kemeny's rule as discussed by the authors is the unique social welfare function that satisfies a variant of independence of irrelevant alternatives together with several other standard properties, and is the most likely ranking of the alternatives.
Journal ArticleDOI

Epistemic democracy : generalizing the Condorcet jury theorem

TL;DR: In this article, it was shown that given suitably systematic, however slight, deviations from an impartial culture situation, the probability of a cycle converges either to zero (more typically) or to one (less typically) as the number of individuals increases.
References
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Book

Pattern classification and scene analysis

TL;DR: In this article, a unified, comprehensive and up-to-date treatment of both statistical and descriptive methods for pattern recognition is provided, including Bayesian decision theory, supervised and unsupervised learning, nonparametric techniques, discriminant analysis, clustering, preprosessing of pictorial data, spatial filtering, shape description techniques, perspective transformations, projective invariants, linguistic procedures, and artificial intelligence techniques for scene analysis.
Book

Perceptrons: An Introduction to Computational Geometry

TL;DR: The aim of this book is to seek general results from the close study of abstract version of devices known as perceptrons.
Book

The theory of committees and elections

Duncan Black
TL;DR: In this paper, Dodgson's Third Pamphlet 'A Method...' (1876) was used to discuss the Elasticity of Committee Decisions with an Altering Size of Majority.
Book

Essai Sur L'Application de L'Analyse a la Probabilite Des Decisions Rendues a la Pluralite Des Voix

TL;DR: Condorcet's paradox (the non-transitivity of majority preferences) is seen as the direct ancestor of Arrow's paradox as discussed by the authors, and it was rediscovered as a foundational work in the theory of voting and societal preferences.
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