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Dual Betweenness

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Abstract

A key feature of the rank dependent model for decision making under risk is that the weighting of an outcome depends on its relative rank. This theory received numerous axiomatizations, however, all these sets of axioms need to make an explicit reference to the ranking of the outcomes. This situation is unsatisfactory, as it seems to be desirable to get the ranking property of this model as a consequence of the model, rather than as an assumption. Yaari offered a special version of this model (called dual theory), where the utility function is linear. This paper offers a set of axioms implying a generalization of Yaari's dual theory, without making any reference to the order of the outcomes. The main axiom is called dual betweenness, which, unlike the usual case, is made on random variables rather than distribution functions.

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  • Zvi Safra & Uzi Segal, 1998. "Dual Betweenness," University of Western Ontario, Departmental Research Report Series 9805, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:9805
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    File URL: https://ir.lib.uwo.ca/cgi/viewcontent.cgi?article=1329&context=economicsresrpt
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    Cited by:

    1. Nauro F. Campos & Roman Horváth, 2006. "Reform Redux: Measurement, Determinants and Reversals," Working Papers IES 2006/16, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2006.
    2. Koptchenov, Alexei A. & Ames, Glenn C.W., 1999. "The Russian Economic Crisis: Impact On Agriculture And Higher Education In The Chelyabinsk Oblast, Ural Region," Faculty Series 16727, University of Georgia, Department of Agricultural and Applied Economics.
    3. Odhiambo, Mark O. & Oluoch-Kosura, Willis & Kibiego, Michael B., 2006. "Analysis of the Structure and Performance of the Beans Marketing System in Nairobi," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25440, International Association of Agricultural Economists.
    4. Mei Wen, 2005. "Foreign Direct Investment, Regional Geographical and Market Conditions, and Regional Development: A Panel Study on China," Departmental Working Papers 2005-12, The Australian National University, Arndt-Corden Department of Economics.
    5. Hans J. Czap & Kanybek D. Nur-tegin, 2011. "Big Bang vs. Gradualism – A Productivity Analysis," EuroEconomica, Danubius University of Galati, issue 29, pages 38-56, August.
    6. da Rocha, Bruno T., 2015. "Let the markets begin: The interplay between free prices and privatisation in early transition," Journal of Comparative Economics, Elsevier, vol. 43(2), pages 350-370.

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