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Decomposition properties of dual choice functionals

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  • S. David Promislow
  • Virginia R. Young

Abstract

The Gini coefficient is a well-known measure of inequality, and it satisfies a non-overlapping additive decomposition property (Ebert 1988b). The Gini coefficient is related to the dual theory of choice, as developed by Yaari (1987, 1988). We determine which other dual choice functionals satisfy a non-overlapping additive decomposition property that is weaker than the additive one suggested in Ebert (1988b). It turns out that the only functionals that do are those that arise from the Lebesgue measure, the measure associated with the Gini coefficient, and degenerate delta functions. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • S. David Promislow & Virginia R. Young, 2003. "Decomposition properties of dual choice functionals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 189-201, March.
    • Handle: RePEc:spr:sochwe:v:20:y:2003:i:2:p:189-201
    DOI: 10.1007/s003550200174
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