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An Axiomatic Approach to ƒÃ-contamination

Author

Listed:
  • Kiyohiko G. Nishimura

    (Faculty of Economics, University of Tokyo)

  • Hiroyuki Ozaki

    (Faculty of Economics, Tohoku University)

Abstract

Suppose that an economic agent is (1-ƒÃ)x100% certain that uncertainty she faces is characterized by a particular probability measure, but that she has a fear that, with ƒÃx100% chance, her conviction is completely wrong and she is left perfectly ignorant about the true measure in the present as well as in the future.This situation is often called "ƒÃ-contamination of con dence." The purpose of this paper is to provide a simple set of behavioral axioms under which the decision-maker's preference is represented by the Choquet expected utility with the ƒÃ-contamination of con dence.

Suggested Citation

  • Kiyohiko G. Nishimura & Hiroyuki Ozaki, 2002. "An Axiomatic Approach to ƒÃ-contamination," CIRJE F-Series CIRJE-F-183, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2002cf183
    as

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    References listed on IDEAS

    as
    1. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    2. Cyrus Chu & Wen-Fang Liu, 2002. "Knightian Uncertainty and the Voting Paradox," Working Papers UWEC-2002-10, University of Washington, Department of Economics.
    3. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    5. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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