On linear aggregation of infinitely many finitely additive probability measures

Michael Nielsen ()
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Michael Nielsen: Columbia University

Theory and Decision, 2019, vol. 86, issue 3, No 7, 436 pages

Abstract: Abstract We discuss Herzberg’s (Theory Decis 78(2):319–337, 2015) treatment of linear aggregation for profiles of infinitely many finitely additive probabilities and suggest a natural alternative to his definition of linear continuous aggregation functions. We then prove generalizations of well-known characterization results due to (J Am Stat Assoc 76(374):410–414, 1981). We also characterize linear aggregation of probabilities in terms of a Pareto condition, de Finetti’s notion of coherence, and convexity.

Keywords: Probability aggregation; Linear aggregation; Finitely additive probability; Coherence; Integral representations (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11238-019-09690-y

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