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Comparison functions and choice correspondences

Bhaskar Dutta () and Jean-François Laslier ()

Social Choice and Welfare, 1999, vol. 16, issue 4, 513-532

Abstract: In this paper, we introduce the concept of a comparison function, which is a mapping g that assigns numbers to ordered pairs of alternatives (x,y) with the property that g(x,y)=- g(y,x). The paper discusses how some well-known choice correspondences on tournaments such as the uncovered set, the minimal covering set and the bipartisan set can be extended to this general framework. Axiomatic characterizations and properties are studied for these correspondences.

Date: 1999-08-31
Note: Received: 4 November 1996/Accepted: 13 April 1998
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Social Choice and Welfare is currently edited by Bhaskar Dutta, Marc Fleurbaey, Elizabeth Maggie Penn and Clemens Puppe

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