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Condorcet's jury theorem, dependency among jurors

✍ Scribed by Sven Berg


Publisher
Springer
Year
1993
Tongue
English
Weight
521 KB
Volume
10
Category
Article
ISSN
0176-1714

No coin nor oath required. For personal study only.

✦ Synopsis


With the aid of a simple discrete probability model, the Condorcet Jury Theorem is extended to situations where there is dependency between judgement. It is shown that negative intra-voter correlation improves on jury competence in the sense that the probability of a correct decision increases. Positive correlation, on the other hand, tends to decrease jury competence. The results given here are obtained with the aid of simple recursion relations.


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✍ Krishna K. Ladha πŸ“‚ Article πŸ“… 1993 πŸ› Springer 🌐 English βš– 886 KB

This paper generalizes Condorcet's jury theorem to the case of symmetrically dependent votes with the help of de Finetti's theorem. Thus, the paper relaxes Condorcet's assumption of independent voting while preserving his main result: In jury-type situations a majority of voters is more likely than