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Allocation Aggregation for a Finite Valuation Domain

Wagner, Carl (2009) Allocation Aggregation for a Finite Valuation Domain. [Preprint]

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    Abstract

    A decision problem in which the values of the decision variables must sum to a fixed positive real number s is called an "allocation problem," and the problem of aggregating the allocations of n experts the "allocation aggregation problem." Under two simple axiomatic restrictions on aggregation, the only acceptable allocation aggregation method is based on weighted arithmetic averaging (Lehrer and Wagner, Rational Consensus in Science and Society, 1981). In this note it is demonstrated that when the values assigned to the variables are restricted to a finite set (as is always the case in practice), the aforementioned axioms allow only dictatorial aggregation.


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    Item Type: Preprint
    Keywords: allocation, opinion aggregation, consensus
    Subjects: General Issues > Decision Theory
    Depositing User: Carl Wagner
    Date Deposited: 18 Mar 2010
    Last Modified: 07 Oct 2010 11:19
    Item ID: 5196
    URI: http://philsci-archive.pitt.edu/id/eprint/5196

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