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Arrow’s Theorem and the Gibbard-Satterthwaite Theorem

In: The Mathematics of Elections and Voting

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  • W. D. Wallis

    (Southern Illinois University, Department of Mathematics)

Abstract

In many voting systems, each voter must produce a ranked preference order of all candidates mentioned, and no ties are allowed. Such systems are called ordinal ordinal voting system . However some voting systems, called cardinal cardinal voting system , allow the voters to evaluate candidates separately, and a voter could say two candidates were equal. For the moment we shall concentrate on ordinal systems; cardinal systems will be studied in Chap. 7 .

Suggested Citation

  • W. D. Wallis, 2014. "Arrow’s Theorem and the Gibbard-Satterthwaite Theorem," Springer Books, in: The Mathematics of Elections and Voting, edition 127, chapter 0, pages 47-58, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-09810-4_5
    DOI: 10.1007/978-3-319-09810-4_5
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