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

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Author Info
Hellwig, Martin () (Sonderforschungsbereich 504)

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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.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 04-22.

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Length: 25 pages
Date of creation: 07 Jun 2004
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Handle: RePEc:xrs:sfbmaa:04-22

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  1. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
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  2. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-67, March. [Downloadable!] (restricted)
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  3. Stiglitz, Joseph E, 1969. "Behavior Towards Risk with Many Commodities," Econometrica, Econometric Society, vol. 37(4), pages 660-67, October. [Downloadable!] (restricted)
  4. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Blackwell Publishing, vol. 38(114), pages 175-208, April. [Downloadable!] (restricted)
  5. J. A. Mirrlees, 1976. "Optimal Tax Theory: A Synthesis," Working papers 176, Massachusetts Institute of Technology (MIT), Department of Economics.
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  6. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March. [Downloadable!] (restricted)
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  7. Aaron S. Edlin & Chris Shannon, 1998. "Strict Single Crossing and the Strict Spence-Mirrlees Condition: A Comment on Monotone Comparative Statics," Econometrica, Econometric Society, vol. 66(6), pages 1417-1426, November.
  8. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August. [Downloadable!] (restricted)
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  9. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July. [Downloadable!] (restricted)
  10. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November. [Downloadable!] (restricted)
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