Comparison Functions and Choice Correspondences

Posted: 5 Jan 2001

See all articles by Bhaskar Dutta

Bhaskar Dutta

Indian Statistical Institute

Jean-Francois Laslier

Ecole Polytechnique, Paris - Laboratoire d'Econometrie

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.

JEL Classification: D70

Suggested Citation

Dutta, Bhaskar and Laslier, Jean-Francois, Comparison Functions and Choice Correspondences. Available at SSRN: https://ssrn.com/abstract=179770

Bhaskar Dutta (Contact Author)

Indian Statistical Institute ( email )

7 S. J. S. Sansanwal Marg
New Delhi, 110016
India

Jean-Francois Laslier

Ecole Polytechnique, Paris - Laboratoire d'Econometrie ( email )

1 rue Descartes
Paris, 75005
France

HOME PAGE: http://sites.google.com/site/jflaslierhomepage/

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