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Manipulability, unanimity, anonymity and merging functions

Antonio Quesada
Social Choice and Welfare
Vol. 17, No. 3 (2000), pp. 481-506
Published by: Springer
Stable URL: http://www.jstor.org/stable/41106371
Page Count: 26
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Manipulability, unanimity, anonymity and merging functions
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Abstract

A merging (or assessment aggregation) function (see [7]) is a rule that synthesizes several individual assessments, or numerical judgements, by creating a unique "collective" assessment. Individual i can manipulate assessment aggregation if the change in the merged assessment due to a change in i's assessment from x to y depends solely on x and y. Some assumptions on the functional form capturing this dependence are put forward and their effects on aggregation investigated under unanimity and anonymity conditions using a functional equation approach. Attention is restricted to three types of results: the merging function does not exist; it is the arithmetic mean; it is dictatorial.

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