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An ordinal characterization of the linear opinion pool

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Abstract

Given a collection of individual ordinal probabilities on a finite state space, we discuss an ordinal condition that is necessary and sufficient for an ordinal probability to be represented as a weighted average of probability representations of the individual probabilities. We also give necessary and sufficient conditions for when such an ordinal probability can be represented as an unweighted average of probability representations.

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Authors and Affiliations

  1. Division of the Humanities and Social Sciences, 228-77, California Institute of Technology, Pasadena, CA, 91125, USA

    Christopher P. Chambers

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  1. Christopher P. Chambers
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Correspondence to Christopher P. Chambers.

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Many thanks are due to an anonymous referee, who provided detailed comments and corrections which greatly improved this paper.

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Chambers, C.P. An ordinal characterization of the linear opinion pool. Economic Theory 33, 457–474 (2007). https://doi.org/10.1007/s00199-006-0149-8

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  • DOI: https://doi.org/10.1007/s00199-006-0149-8

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