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Risk Aversion in the Small and in the Large When Outcomes Are Multidimensional

Author

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  • Hellwig, Martin

    (Sonderforschungsbereich 504)

Abstract

The paper discusses criteria for comparing risk aversion of decision makers when outcomes are multidimensional. A weak concept, �commodity specific greater risk aversion�, is based on the comparison of risk premia paid in a specified commodity. A stronger concept, �uniformly greater risk aversion� is based on the comparison of risk premia regardless of what commodities are used for payment. Neither concept presumes that von Neumann-Morgenstern utility functions are ordinally equivalent. Nonincreasing consumption specific risk aversion is shown to be sufficient to make randomization undesirable in an agency problem with hidden characteristics.

Suggested Citation

  • Hellwig, Martin, 2004. "Risk Aversion in the Small and in the Large When Outcomes Are Multidimensional," Sonderforschungsbereich 504 Publications 04-22, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  • Handle: RePEc:xrs:sfbmaa:04-22
    Note: Research support from Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 504, at the University of Mannheim, is gratefully acknowledged.
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    Cited by:

    1. Sudhir A. Shah, 2016. "The Generalized Arrow-Pratt Coefficient," Working papers 254, Centre for Development Economics, Delhi School of Economics.
    2. Christoph Engel, 2006. "The Difficult Reception of Rigorous Descriptive Social Science in the Law," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2006_1, Max Planck Institute for Behavioral Economics.
    3. Hellwig, Martin F., 2007. "The undesirability of randomized income taxation under decreasing risk aversion," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 791-816, April.
    4. Martin Hellwig, 2008. "A Maximum Principle for Control Problems with Monotonicity Constraints," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2008_04, Max Planck Institute for Behavioral Economics.
    5. Kannai, Yakar & Selden, Larry & Kang, Minwook & Wei, Xiao, 2016. "Risk neutrality regions," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 75-89.

    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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