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Schur convexity, quasi-convexity and preference for early resolution of uncertainty

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Abstract

This paper deals with decision makers who choose among information systems. It shows that the properties of Schur convexity and of quasi-convexity are equivalent, even when general preferences are considered. Since Schur convexity is closely related to having a willingness to accept information and since quasi-convexity is closely related to having a preference for early resolution of the uncertainty about which information system prevails, then it follows that the equivalence implies that decision makers prefer more information to less if, and only if, they prefer early resolution of uncertainty to later resolution.

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References

  • Blackwell, D.: 1951, ‘Comparison of Experiments’, in J. Neyman (Ed.),Proceedings, Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, pp. 93–102.

  • Chew, S. H. and Epstein, L. G.: 1989, ‘The Structure of Preferences and Attitudes Towards the Timing of the Resolution of Uncertainty’,International Economic Review,30, 103–117.

    Google Scholar 

  • Chew, S. H. and Mao, M. H.: 1985, ‘A Schur concave Characterization of Risk Aversion for Nonlinear, Nonsmooth continuous Preferences’, The Johns Hopkins University Working Papers in Economics No. 157.

  • Dekel, E.: 1989, ‘Asset Demand without the Independence Axiom’,Econometrica,57, 163–169.

    Google Scholar 

  • Epstein, L. G.: 1990, ‘Behavior under Risk: Recent Developments in Theory and Applications’, inAdvances in Economic Theory, forthcoming.

  • Fishburn, P. C.: 1988,Nonlinear Preferences and Utility Theory, Johns Hopkins University Press.

  • Hilton, R. W.: 1990, ‘Failure of Blackwell's Theorem under Machina's Generalization of Expected-Utility Analysis without the Independence Axiom’,Journal of Economic Behavior and Organization,13, 233–244.

    Google Scholar 

  • Karni, E. and Schmeidler, D.: 1990, ‘Utility Theory and Uncertainty’, inHandbook of Mathematical Economics IV, W. Hildenbrand and H. Sonnenschein (Eds.), North Holland Pub. Co., forthcoming.

    Google Scholar 

  • Machina, M.: 1987, ‘Choice under Uncertainty: Problems Solved and Unsolved’,Journal of Economic Perspectives,1, 121–154.

    Google Scholar 

  • Marshall, A. W. and Olkin, I.: 1979,Inequalities: Theory of Majorization and Its Applications, Academic Press.

  • Newman, D. P.: 1980, ‘Prospect Theory: Implications for Information Evaluation’,Accounting Organizations and Society,5, 217–230.

    Google Scholar 

  • Segal, U.: 1990, ‘Two-stage Lotteries without the Reduction Axiom’,Econometrica,58, 349–377.

    Google Scholar 

  • Wakker, P.: 1988, ‘Nonexpected Utility as Aversion of Information’,Journal of Behavioral Decision Making,1, 169–175.

    Google Scholar 

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Safra, Z., Sulganik, E. Schur convexity, quasi-convexity and preference for early resolution of uncertainty. Theor Decis 39, 213–218 (1995). https://doi.org/10.1007/BF01078986

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