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Preference conditions for utility models:A risk-value perspective

Abstract

This paper discusses necessary and sufficient preference conditions for utility models basedon a risk-value framework. These conditions provide additional insights into traditionalutility models regarding decision making by risk-value tradeoffs, and can help decisionmakers identify specific functional forms of utility measure in practice.

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References

  1. J. Aczel, Lectures on Functional Equations and Their Applications, Academic Press, New York, 1965.

    Google Scholar 

  2. K. Arrow, Aspects of the Theory of Risk-Bearing, Yrjo Jahnsson Lecture, Helsinki, 1965.

  3. D.E. Bell, One-switch utility functions and a measure of risk, Management Science 34(1988)1416 – 1424.

    Google Scholar 

  4. D.E. Bell, Risk, return, and utility, Management Science 41(1995)23 – 30.

    Google Scholar 

  5. D.E. Bell, A contextual uncertainty condition for behavior under risk, Management Science 41 (1995)1145 – 1150.

    Google Scholar 

  6. D.E. Bell, Measuring risk and return for portfolios, in: Wise Choices, eds. R.J. Zeckhauser, R.L. Keeney and J.K. Sebenius, Harvard Business School Press, 1996, pp. 102 – 118.

  7. P.L. Brockett and L.L. Golden, A class of utility functions containing all the common utility functions, Management Science 33(1992)955 – 964.

    Google Scholar 

  8. J.S. Dyer and J. Jia, Relative risk-value models, European Journal of Operational Research 103 (1997)170 – 185.

    Google Scholar 

  9. P.H. Farquhar and Y. Nakamura, Constant exchange risk properties, Operations Research 35(1987) 206 – 214.

    Google Scholar 

  10. P.C. Fishburn and P.H. Farquhar, Finite-degree utility independence, Mathematics of Operations Research 7(1982)348–353.

    Google Scholar 

  11. C.M. Harvey, Conditions on risk attitude for a single attribute, Management Science 27(1981)190 – 203.

    Google Scholar 

  12. J. Jia and J.S. Dyer, Risk-value theory, Working Paper, Graduate School of Business, University of Texas at Austin, TX, 1995.

    Google Scholar 

  13. J. Jia and J.S. Dyer, A standard measure of risk and risk-value models, Management Science 42 (1996)1961 – 1705.

    Google Scholar 

  14. R.L. Keeney and H. Raiffa, Decisions with Multiple Objectives: Preferences and Value Tradeoffs, Wiley, New York, 1976.

    Google Scholar 

  15. C.M. Kirkwood and R.K. Sarin, Preference conditions for multiattributed value functions, Operations Research 28(1980)225 – 232.

    Google Scholar 

  16. H.M. Markowitz, Portfolio Selection, Wiley, New York, 1959.

    Google Scholar 

  17. H.M. Markowitz, Mean-Variance Analysis in Portfolio Choice and Capital Markets, Basil Blackwell, New York, 1987.

    Google Scholar 

  18. J.M. Miyamoto and P. Wakker, Multiattribute utility theory without expected utility foundations, Operations Research 44(1996)313 – 326.

    Google Scholar 

  19. J. Pfanzagl, A general theory of measurement applications to utility, Naval Research Logistic Quarterly 6(1959)283–294.

    Google Scholar 

  20. J.W. Pratt, Risk aversion in the small and in the large, Econometrica 32(1964)122 – 136.

    Google Scholar 

  21. H. Raiffa, Decision Analysis, Addison-Wesley, Reading, MA, 1968.

    Google Scholar 

  22. R.K. Sarin and M. Weber, Risk-value models, European Journal of Operational Research 70(1993) 135 – 149.

    Google Scholar 

  23. J. von Neumann and O. Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, NJ, 1947.

    Google Scholar 

Download references

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Dyer, J., Jia, J. Preference conditions for utility models:A risk-value perspective. Annals of Operations Research 80, 167–182 (1998). https://doi.org/10.1023/A:1018959713640

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  • DOI: https://doi.org/10.1023/A:1018959713640

Keywords

  • Decision Making
  • Functional Form
  • Additional Insight
  • Preference Condition
  • Utility Model