General representation of epistemically optimal procedure.

F.K. Dietrich

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Assuming that votes are independent, the epistemically optimal procedure in a binary collective choice problem is known to be a weighted supermajority rule with weights given by personal log likelihood ratios. It is shown here that an analogous result holds in a much more general model. Firstly, the result follows from a more basic principle than expected-utility maximisation, namely from an axiom (“epistemic monotonicity”) which requires neither utilities nor prior probabilities of the ‘correctness’ of alternatives. Secondly, a person’s input need not be a vote for an alternative; it may be any type of input, for instance a subjective degree of belief or probability of the correctness of one of the alternatives. The case of a profile of subjective degrees of belief is particularly appealing, since no parameters such as competence parameters need to be known here.
Original languageEnglish
Pages (from-to)263-283
Number of pages20
JournalSocial Choice and Welfare
Volume26
Issue number2
DOIs
Publication statusPublished - 1 Jan 2006

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