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Production under Uncertainty and Choice under Uncertainty in the Emergence of Generalized Expected Utility Theory

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  • John Quiggin

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Abstract

This paper presents a personal view of the interaction between the analysis of choice under uncertainty and the analysis of production under uncertainty. Interest in the foundations of the theory of choice under uncertainty was stimulated by applications of expected utility theory such as the Sandmo model of production under uncertainty. This interest led to the development of generalized models including rank-dependent expected utility theory. In turn, the development of generalized expected utility models raised the question of whether such models could be used in the analysis of applied problems such as those involving production under uncertainty. Finally, the revival of the state-contingent approach led to the recognition of a fundamental duality between choice problems and production problems. Copyright Kluwer Academic Publishers 2001

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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 51 (2001)
Issue (Month): 2 (December)
Pages: 125-144

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Handle: RePEc:kap:theord:v:51:y:2001:i:2:p:125-144

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Web page: http://www.springerlink.com/link.asp?id=100341

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Keywords: Uncertainty; Generalized Expected Utility; Production Theory; Choice Theory;

References

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  1. Feder, Gershon, 1977. "The impact of uncertainty in a class of objective functions," Journal of Economic Theory, Elsevier, vol. 16(2), pages 504-512, December.
  2. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
  3. WEYMARK, John A., . "Generalized Gini inequality indices," CORE Discussion Papers RP -453, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
  5. Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
  6. Quiggin John & Wakker Peter, 1994. "The Axiomatic Basis of Anticipated Utility: A Clarification," Journal of Economic Theory, Elsevier, vol. 64(2), pages 486-499, December.
  7. Bertsekas, Dimitri P., 1974. "Necessary and sufficient conditions for existence of an optimal portfolio," Journal of Economic Theory, Elsevier, vol. 8(2), pages 235-247, June.
  8. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  9. Dardanoni, Valentino, 1988. "Optimal Choices under Uncertainty: The Case of Two-Argument Utility Functions," Economic Journal, Royal Economic Society, vol. 98(391), pages 429-50, June.
  10. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  11. Chambers,Robert G. & Quiggin,John, 2000. "Uncertainty, Production, Choice, and Agency," Cambridge Books, Cambridge University Press, number 9780521785235, April.
  12. Tobin, James, 1969. "Comment on Borch and Feldstein," Review of Economic Studies, Wiley Blackwell, vol. 36(105), pages 13-14, January.
  13. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  14. Quiggin, John & Chambers, Robert G, 1998. "Risk Premiums and Benefit Measures for Generalized-Expected-Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 121-37, November.
  15. Quiggin, John & Horowitz, John, 1995. "Time and Risk," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 37-55, January.
  16. Quiggin, John, 1991. " Comparative Statics for Rank-Dependent Expected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 4(4), pages 339-50, December.
  17. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
  18. Quiggin, John & Chambers, Robert G, 2001. " The Firm under Uncertainty with General Risk-Averse Preferences: A State-Contingent Approach," Journal of Risk and Uncertainty, Springer, vol. 22(1), pages 5-20, January.
  19. Handa, Jagdish, 1977. "Risk, Probabilities, and a New Theory of Cardinal Utility," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 97-122, February.
  20. Machina, Mark J, 1982. "A Stronger Characterization of Declining Risk Aversion," Econometrica, Econometric Society, vol. 50(4), pages 1069-79, July.
  21. Coes, Donald V, 1977. "Firm Output and Changes in Uncertainty," American Economic Review, American Economic Association, vol. 67(2), pages 249-51, March.
  22. Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
  23. Quiggin, John, 1982. "A Note on the Existence of a Competitive Optimal Output," The Economic Record, The Economic Society of Australia, vol. 58(161), pages 174-76, June.
  24. Machina, Mark J., 1989. "Comparative statics and non-expected utility preferences," Journal of Economic Theory, Elsevier, vol. 47(2), pages 393-405, April.
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