Comparison functions and choice correspondences |
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Authors: | Bhaskar Dutta Jean-Francois Laslier |
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Institution: | (1) Indian Statistical Institute, New Delhi, India, IN;(2) CNRS and THEMA, Université de Cergy-Pontoise, F-95011 Cergy-Pontoise Cedex, France, FR |
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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.
Received: 4 November 1996/Accepted: 13 April 1998 |
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Keywords: | |
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