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On Some Distance Aspects in Social Choice Theory

In: Mathematics and Democracy

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  • Christian Klamler

    (University of Graz)

Abstract

This paper investigates the relationship between Kemeny-type distance functions on the set of choice functions and the original Kemeny distances on the set of binary relations with special emphasis on the set of linear orders. First, it will be shown in what way such distances differ. Second, for the Kemeny-type distance function on the set of choice functions we will provide an explicit expression in terms of the linear orders that rationalize them.

Suggested Citation

  • Christian Klamler, 2006. "On Some Distance Aspects in Social Choice Theory," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 97-104, Springer.
    • Handle: RePEc:spr:stcchp:978-3-540-35605-9_7
    DOI: 10.1007/3-540-35605-3_7
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    Cited by:

    1. Christian Klamler, 2008. "A distance measure for choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 419-425, April.

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