Probabilistic majority rules

Annibal Parracho Sant'Anna

International Journal of Industrial and Systems Engineering, 2009, vol. 4, issue 1, 19-31

Abstract: This paper is on the modelling of social choice systems. It studies the problem of aggregating individual judgements into collective decisions. Its basic framework is that of the application of majority rules to choose between two options: acceptance or rejection of a given proposition. A new probabilistic approach is developed. It is established a precise dependence condition under which majority acceptance according to any premise taken isolately is equivalent to majority acceptance when all the premises are taken together. This dependence condition is based on the hypothesis of covariance proportional to the probabilities of unfavourable evaluations. Other probabilistic rules are proposed. The case of choice among multiple options is also addressed.

Keywords: social choice; preference; probabilistic majority rules; decision aids; discursive dilemma; doctrinal paradox; fuzzy logic; probability; correlation; dependence structure; modelling; individual judgements; collective decisions; multiple choice. (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijisen:v:4:y:2009:i:1:p:19-31

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