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Median-based Rules for Decision-making under Complete Ignorance

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  • Aditi Bhattacharyya

Abstract

This article characterizes a class of rules for decision-making when an agent knows the possible states of the world and the outcome of each of his/her actions for each state, but does not have any information about the probabilities of the states. The existing literature in this framework has mainly considered ‘max’-based or ‘min’-based rules and their variants. Such rules reflect rather extreme forms of optimism or pessimism on the part of an agent. In contrast, this paper focuses on the median outcome(s) and characterizes a class of decision-making rules which reflects a more ‘balanced’ attitude towards uncertainty. We also discuss a possible interpretation of our result in terms of the ranking of alternative social states that an individual may have when he/she is under the Rawlsian ‘veil of ignorance’. JEL Classifications: D81

Suggested Citation

  • Aditi Bhattacharyya, 2018. "Median-based Rules for Decision-making under Complete Ignorance," Studies in Microeconomics, , vol. 6(1-2), pages 1-13, June.
  • Handle: RePEc:sae:miceco:v:6:y:2018:i:1-2:p:1-13
    DOI: 10.1177/2321022217744148
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    References listed on IDEAS

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    1. Barbara, Salvador & Jackson, Matthew, 1988. "Maximin, leximin, and the protective criterion: Characterizations and comparisons," Journal of Economic Theory, Elsevier, vol. 46(1), pages 34-44, October.
    2. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    4. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    5. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    6. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    7. Kelsey, David, 1993. "Choice under Partial Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 297-308, May.
    8. Nitzan, Shmuel I. & Pattanaik, Prasanta K., 1984. "Median-based extensions of an ordering over a set to the power set: An axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 34(2), pages 252-261, December.
    9. Kannai, Yakar & Peleg, Bezalel, 1984. "A note on the extension of an order on a set to the power set," Journal of Economic Theory, Elsevier, vol. 32(1), pages 172-175, February.
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    More about this item

    Keywords

    Complete ignorance; median-based rules; median outcome; non-probabilistic uncertainty;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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