Bhaskar Dutta (Indian Statistical Institute, New Delhi, India) Jean-Francois Laslier (CNRS and THEMA, Université de Cergy-Pontoise, F-95011 Cergy-Pontoise Cedex, France)
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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.
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