Theory and Decision

, Volume 51, Issue 2–4, pp 125–144 | Cite as

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

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.

Uncertainty Generalized Expected Utility Production Theory Choice Theory 

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REFERENCES

  1. Allais, M. (1953), Le comportement de l'homme rationnel devant le risque: critique des axioms et postulats de l'école Americaine, Econometrica 21, 503-46.CrossRefGoogle Scholar
  2. Allais, M. (1987), The general theory of random choices in relation to the invariant cardinal utility function and the specific probability function: The (U, θ) model-a general overview, Centre National de la Recherche Scientifique, Paris.Google Scholar
  3. Allais, M. (1988), The general theory of random choices in relation to the invariant cardinal utility function and the specific probability function. In: B. Munier (ed.), Risk, Decision and Rationality. (pp. 233-289), Reidel, DordrechtGoogle Scholar
  4. Arrow, K. (1953), Le rôle des valeurs boursiers pour la repartition la meillure des risques, Cahiers du Seminair d'Economie. CNRS, Paris.Google Scholar
  5. Arrow, K. (1965), Aspects of the theory of risk-bearing, Yrjo Jahnsson Lecture, Helsinki.Google Scholar
  6. Bertsekas, D. (1974), Necessary and sufficient conditions for the existence of an optimal portfolio, Journal of Economic Theory 8, 235-47.CrossRefGoogle Scholar
  7. Chambers, R. G. and Quiggin, J. (2000), Uncertainty, Production, Choice and Agency: The State-Contingent Approach. Cambridge University Press, New York.Google Scholar
  8. Chew, S. H. and Epstein, L. (1989), Axiomatic rank-dependent means, Annals of Operations Research 19, 207-240.Google Scholar
  9. Choquet, G. (1953-1954), Theory of capacities, Annales Institut Fourier 5, 131-295.Google Scholar
  10. Coes, D. (1977), Firm output and changes in uncertainty, American Economic Review 67, 249-51.Google Scholar
  11. Dardanoni, V. (1988), Optimal choice under uncertainty: The case of two argument utility functions, Economic Journal 98, 429-50.CrossRefGoogle Scholar
  12. de Finetti, B. (1931), Sul significato soggettivo della probabilita, Fundamenta Mathematicae 17, 298-329.Google Scholar
  13. Debreu, G. (1952), A social equilibrium existence theorem, Proceedings of the National Academy of Sciences 38, 886-93.CrossRefGoogle Scholar
  14. Ebert, U. (1988), Rawls and Bentham reconciled, Theory and Decision 24, 215-223.CrossRefGoogle Scholar
  15. Feder, G. (1977), The impact of uncertainty in a class of objective functions, Journal of Economic Theory 16, 504-12.CrossRefGoogle Scholar
  16. Fisher, I. (1930), The Theory of Interest. Yale University Press, New Haven.Google Scholar
  17. Fishburn, P. (1978), On Handa's ‘New Theory of Cardinal Utility’ and the maximization of expected return, Journal of Political Economy 86, 321-4.CrossRefGoogle Scholar
  18. Fishburn, P. (1988), Nonlinear Preference and Utility Theory. Johns Hopkins, Baltimore.Google Scholar
  19. Gilboa, I. (1987), Expected utility with purely subjective non-additive probabilities, Journal of Mathematical Economics 16, 65-88.CrossRefGoogle Scholar
  20. Handa, J. (1977), Risk, probabilities and a new theory of cardinal utility, Journal of Political Economy 85, 97-122.CrossRefGoogle Scholar
  21. Hirshleifer, J. (1965), Investment decisions under uncertainty: choice-theoretic approaches, Quarterly Journal of Economics 79(4), 509-36.CrossRefGoogle Scholar
  22. Luenberger, D. G. (1992), Benefit functions and duality, Journal of Mathematical Economics 21, 461-481.CrossRefGoogle Scholar
  23. Machina, M. (1982), A stronger characterization of declining risk aversion, Econometrica 50, 1069-79.CrossRefGoogle Scholar
  24. Machina, M. (1989), Comparative statics and non-expected utility preferences, Journal of Economic Theory 47, 393-405.CrossRefGoogle Scholar
  25. Machina, M. J. and Schmeidler, D. (1992), A more robust definition of subjective probability, Econometrica 60, 745-80.CrossRefGoogle Scholar
  26. Malmquist, S. (1953), Index numbers and indifference surfaces, Trabajos de Estatistica 4, 209-242.Google Scholar
  27. McFadden, D. (1978), Cost, revenue, and profit functions. In: M. Fuss and D. McFadden (eds.), Production Economics: A Dual Approach to Theory and Applications. North Holland, Amsterdam.Google Scholar
  28. Merton, R. (1973), The Sociology of Science. University of Chicago Press, Chicago.Google Scholar
  29. Pratt, J. (1964), Risk aversion in the small and in the large, Econometrica 32, 122-36.CrossRefGoogle Scholar
  30. Quiggin, J. (1979), The multi-product firm under price uncertainty, unpublished Honours thesis, Australian National University.Google Scholar
  31. Quiggin, J. (1981), Risk perception and risk aversion among Australian farmers, Australian Journal of Agricultural Economics 25, 160-9.Google Scholar
  32. Quiggin, J. (1982a), A note on the existence of a competitive optimum, Economic Record 55, 174-6.Google Scholar
  33. Quiggin, J. (1982b), A theory of anticipated utility, Journal of Economic Behavior and Organization 3, 323-43.CrossRefGoogle Scholar
  34. Quiggin, J. (1991), Comparative statics for Rank-Dependent Expected Utility theory, Journal of Risk and Uncertainty 4, 339-50.CrossRefGoogle Scholar
  35. Quiggin, J. and Chambers, R.G. (1998), Risk premiums and benefit measures for generalized expected utility theories, Journal of Risk and Uncertainty 17, 121-37.CrossRefGoogle Scholar
  36. Quiggin, J. and Chambers, R.G. (2001), The firm under uncertainty with general risk-averse preferences: a state-contingent approach, Journal of Risk and Uncertainty 22, 5-20.CrossRefGoogle Scholar
  37. Quiggin, J. and Wakker, P. (1994), The axiomatic basis of anticipated utility: A clarification, Journal of Economic Theory 64(2), 486-99.CrossRefGoogle Scholar
  38. Roell, A. (1987), Risk-aversion in Quiggin and Yaari's rank-ordermodel of choice under uncertainty, Economic Journal 97, 143-59.CrossRefGoogle Scholar
  39. Sandmo, A. (1971), On the theory of the competitive firm under price uncertainty, American Economic Review 61, 65-73.Google Scholar
  40. Savage, L. (1954), Foundations of Statistics. Wiley, New York.Google Scholar
  41. Schmeidler, D. (1989), Subjective probability and expected utility without additivity, Econometrica 57, 571-87.CrossRefGoogle Scholar
  42. Shephard, R.W. (1953), Cost and Production Functions. Princeton University Press, Princeton, New Jersey.Google Scholar
  43. Shephard, R.W. (1970), Theory of Cost and Production Functions. Princeton University Press, Princeton, New Jersey.Google Scholar
  44. Stigler, G. (1982), Merton on multiples, denied and affirmed. In: G. Stigler (ed.), The Economist as Preacher and Other Essays (pp. 98-103). University of Chicago Press, Chicago.Google Scholar
  45. Tobin, J. (1969), Comment on Borch and Feldstein, Review of Economic Studies 36, 13-14.CrossRefGoogle Scholar
  46. Weymark, J. (1981), Generalized Gini inequality indices, Mathematical Social Sciences 1, 409-30.CrossRefGoogle Scholar
  47. Yaari, M. (1969), Some remarks on measures of risk aversion and their uses, Journal of Economic Theory 1, 315-29.CrossRefGoogle Scholar
  48. Yaari, M. (1987), The dual theory of choice under risk, Econometrica 55, 95-115.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.School of Economics, Faculty of Economics and CommerceAustralian National UniversityCanberraAustralia

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