Min, Max, and Sum
This paper provides characterization theorems for preferences. The main assumption is partial separability, where changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. We discuss applications of our results to social choice.
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CORE Discussion Papers
1993048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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- Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
- Fare, Rolf & Primont, Daniel, 1981. "Separability vs strict separability: A further result," Journal of Economic Theory, Elsevier, vol. 25(3), pages 455-460, December.
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- Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
- Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August.
- Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765.
- Segal, Uzi, 1992. "Additively separable representations on non-convex sets," Journal of Economic Theory, Elsevier, vol. 56(1), pages 89-99, February.
- Yaari, Menahem E., 1981. "Rawls, edgeworth, shapley, nash: Theories of distributive justice re-examined," Journal of Economic Theory, Elsevier, vol. 24(1), pages 1-39, February.
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