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Tags

#chracterization #computation #social-choice #voting-rules

Question

Condorcet Jury Theorem: Suppose a jury of n voters need to select the better of two alternatives and each voter independently makes the correct decision with the same probability p > 1/2 . [...]

Answer

Then the probability that the simple majority rule returns the correct decision increases monotonically in n and approaches 1 as n goes to infinity.

Tags

#chracterization #computation #social-choice #voting-rules

Question

Condorcet Jury Theorem: Suppose a jury of n voters need to select the better of two alternatives and each voter independently makes the correct decision with the same probability p > 1/2 . [...]

Answer

?

Tags

#chracterization #computation #social-choice #voting-rules

Question

Condorcet Jury Theorem: Suppose a jury of n voters need to select the better of two alternatives and each voter independently makes the correct decision with the same probability p > 1/2 . [...]

Answer

Then the probability that the simple majority rule returns the correct decision increases monotonically in n and approaches 1 as n goes to infinity.

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#### Parent (intermediate) annotation

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Condorcet Jury Theorem: Suppose a jury of n voters need to select the better of two alternatives and each voter independently makes the correct decision with the same probability p > 1/2 . Then the probability that the simple majority rule returns the correct decision increases monotonically in n and approaches 1 as n goes to infinity.

#### Original toplevel document (pdf)

owner: rappatoni - (no access) - comsoc-characterisation-2017 (1).pdf, p11

Condorcet Jury Theorem: Suppose a jury of n voters need to select the better of two alternatives and each voter independently makes the correct decision with the same probability p > 1/2 . Then the probability that the simple majority rule returns the correct decision increases monotonically in n and approaches 1 as n goes to infinity.

status | not learned | measured difficulty | 37% [default] | last interval [days] | |||
---|---|---|---|---|---|---|---|

repetition number in this series | 0 | memorised on | scheduled repetition | ||||

scheduled repetition interval | last repetition or drill |

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