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Stochastic dominance with pair-wise risk aversion

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  • Scarsini, Marco

Abstract

A class of stochastic orders is defined on the set of bivariate distribution functions. This class of orders is linearly orderable by inclusion. A family of utility functions, coherent with each of the stochastic orders previously defined, is determined. These utility functions represent pair-wise risk aversion. The relations with univariate stochastic orders are examined.
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Suggested Citation

  • Scarsini, Marco, 1985. "Stochastic dominance with pair-wise risk aversion," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 187-201, April.
    • Handle: RePEc:eee:mateco:v:14:y:1985:i:2:p:187-201
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    Cited by:

    1. Christoph Heinzel, 2014. "Term structure of discount rates under multivariate s-ordered consumption growth," Working Papers SMART 14-01, INRAE UMR SMART.
    2. Ortega, Eva-María & Escudero, Laureano F., 2010. "On expected utility for financial insurance portfolios with stochastic dependencies," European Journal of Operational Research, Elsevier, vol. 200(1), pages 181-186, January.
    3. Marta_Cardin & Paola_Ferretti, 2004. "Some theory of bivariate risk attitude," Game Theory and Information 0411009, University Library of Munich, Germany.
    4. Abdelaziz, F. Ben & Lang, P. & Nadeau, R., 1995. "Distributional efficiency in multiobjective stochastic linear programming," European Journal of Operational Research, Elsevier, vol. 85(2), pages 399-415, September.
    5. Finkelshtain, Israel & Kella, Offer & Scarsini, Marco, 1999. "On risk aversion with two risks," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 239-250, March.
    6. Octave Jokung & Sovan Mitra, 2020. "Health Care Investment: The Case of Multiple Sources of Risk," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(2), pages 231-255, June.
    7. Gregor Dorfleitner & Michael Krapp, 2007. "On multiattributive risk aversion: some clarifying results," Review of Managerial Science, Springer, vol. 1(1), pages 47-63, April.
    8. Marta Cardin & Elisa Pagani, 2008. "Some proposals about multivariate risk measurement," Working Papers 165, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    9. Octave Jokung & Sovan Mitra, 2019. "Asset Prices and Changes in Risk within a Bivariate Model," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 26(1), pages 47-60, March.
    10. Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
    11. Jokung, Octave, 2011. "Risk apportionment via bivariate stochastic dominance," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 448-452.

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