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Relative Uncertainty and Additively Representable Set Rankings

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Author Info
BOSSERT, Walter
SLINKO, Arkadii

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Abstract

This paper proposes a definition of relative uncertainty aversion for decision models under complete uncertainty. It is shown that, for a large class of decision rules characterized by a set of plausible axioms, the new criterion yields a complete ranking of those rules with respect to the relative degree of uncertainty aversion they represent. In addition, we address a combinatorial question that arises in this context, and we examine conditions for the additive representability of our rules.

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Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2004-13.

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Length: 20 pages
Date of creation: 2004
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Handle: RePEc:mtl:montde:2004-13

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Related research
Keywords: Choice under comete uncertainty; uncertainty aversion; additive reesentability;

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Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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  3. Barbera, Salvador & Pattanaik, Prasanta K., 1984. "Extending an order on a Set to the power set: Some remarks on Kannai and Peleg's approach," Journal of Economic Theory, Elsevier, vol. 32(1), pages 185-191, February. [Downloadable!] (restricted)
  4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
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  6. Barbera, S. & Barrett, C. R. & Pattanaik, Prasanta K., 1984. "On some axioms for ranking sets of alternatives," Journal of Economic Theory, Elsevier, vol. 33(2), pages 301-308, August. [Downloadable!] (restricted)
  7. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  8. Wakker, Peter, 1990. "Characterizing optimism and pessimism directly through comonotonicity," Journal of Economic Theory, Elsevier, vol. 52(2), pages 453-463, December. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Nehring, Klaus & Puppe, Clemens, 1996. "Continuous Extensions of an Order on a Set to the Power Set," Journal of Economic Theory, Elsevier, vol. 68(2), pages 456-479, February. [Downloadable!] (restricted)
  13. Bandyopadhyay, Taradas, 1988. "Extension of an order on a set to the power set: some further observations," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 81-85, February. [Downloadable!] (restricted)
  14. Bossert, Walter, 1989. "On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering," Journal of Economic Theory, Elsevier, vol. 49(1), pages 84-92, October. [Downloadable!] (restricted)
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