IDEAS home Printed from https://ideas.repec.org/a/kap/jrisku/v1y1988i4p355-87.html
   My bibliography  Save this article

Ordinal Independence in Nonlinear Utility Theory

Author

Listed:
  • Green, Jerry R
  • Jullien, Bruno

Abstract

Individual behavior under uncertainty is characterized using a new axiom, ordinal independence, which is a weakened form of the von Neumann-Morgenstern independence axiom. It states that if two distributions share a tail in common, then this tail can be modified without altering the individual's preference between these distributions. Preference is determined by the tail on which the distributions differ. This axiom implies an appealing and simple functional firm for a numerical representation of preferences. It generalizes the form of anticipated utility, and it explains some well-known forms of behavior, such as the Friedman-Savage paradox, that anticipated utility cannot. Copyright 1988 by Kluwer Academic Publishers

Suggested Citation

  • Green, Jerry R & Jullien, Bruno, 1988. "Ordinal Independence in Nonlinear Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 355-387, December.
  • Handle: RePEc:kap:jrisku:v:1:y:1988:i:4:p:355-87
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. John W. Duffield & David A. Patterson, 1991. "Inference and Optimal Design for a Welfare Measure in Dichotomous Choice Contingent Valuation," Land Economics, University of Wisconsin Press, vol. 67(2), pages 225-239.
    2. James Hammitt & Jin-Tan Liu, 2004. "Effects of Disease Type and Latency on the Value of Mortality Risk," Journal of Risk and Uncertainty, Springer, vol. 28(1), pages 73-95, January.
    3. Cookson, Richard, 2000. "Incorporating psycho-social considerations into health valuation: an experimental study," Journal of Health Economics, Elsevier, vol. 19(3), pages 369-401, May.
    4. Alberini, Anna & Cropper, Maureen & Krupnick, Alan & Simon, N.B.Nathalie B., 2004. "Does the value of a statistical life vary with age and health status? Evidence from the US and Canada," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 769-792, July.
    5. Hammitt, James K & Graham, John D, 1999. "Willingness to Pay for Health Protection: Inadequate Sensitivity to Probability?," Journal of Risk and Uncertainty, Springer, vol. 18(1), pages 33-62, April.
    6. Kahneman, Daniel & Knetsch, Jack L., 1992. "Valuing public goods: The purchase of moral satisfaction," Journal of Environmental Economics and Management, Elsevier, vol. 22(1), pages 57-70, January.
    7. Savage, Ian, 1993. "An Empirical Investigation into the Effect of Psychological Perceptions on the Willingness-to-Pay to Reduce Risk," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 75-90, January.
    8. Viscusi, W Kip & Aldy, Joseph E, 2003. "The Value of a Statistical Life: A Critical Review of Market Estimates throughout the World," Journal of Risk and Uncertainty, Springer, vol. 27(1), pages 5-76, August.
    9. Ready Richard C. & Whitehead John C. & Blomquist Glenn C., 1995. "Contingent Valuation When Respondents Are Ambivalent," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 181-196, September.
    10. Jones-Lee, M W & Loomes, G, 1995. "Scale and Context Effects in the Valuation of Transport Safety," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 183-203, December.
    11. Johannesson, Magnus & Johansson, Per-Olov & Lofgren, Karl-Gustaf, 1997. "On the Value of Changes in Life Expectancy: Blips versus Parametric Changes," Journal of Risk and Uncertainty, Springer, vol. 15(3), pages 221-239, December.
    12. Persson, Ulf & Norinder, Anna & Hjalte, Krister & Gralén, Katarina, 2001. "The Value of a Statistical Life in Transport: Findings from a New Contingent Valuation Study in Sweden," Journal of Risk and Uncertainty, Springer, vol. 23(2), pages 121-134, September.
    13. Wesley A. Magat & W. Kip Viscusi & Joel Huber, 1996. "A Reference Lottery Metric for Valuing Health," Management Science, INFORMS, vol. 42(8), pages 1118-1130, August.
    14. Li Chuan-Zhong & Mattsson Leif, 1995. "Discrete Choice under Preference Uncertainty: An Improved Structural Model for Contingent Valuation," Journal of Environmental Economics and Management, Elsevier, vol. 28(2), pages 256-269, March.
    15. Chilton, Susan & Covey, Judith & Hopkins, Lorraine & Jones-Lee, Michael & Loomes, Graham & Pidgeon, Nick & Spencer, Anne, 2002. "Public Perceptions of Risk and Preference-Based Values of Safety," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 211-232, November.
    16. Jones-Lee, Michael W, 1974. "The Value of Changes in the Probability of Death or Injury," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 835-849, July/Aug..
    17. Jones-Lee, M W & Hammerton, M & Philips, P R, 1985. "The Value of Safety: Results of a National Sample Survey," Economic Journal, Royal Economic Society, vol. 95(377), pages 49-72, March.
    18. W. Michael Hanemann, 1994. "Valuing the Environment through Contingent Valuation," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 19-43, Fall.
    19. repec:reg:rpubli:282 is not listed on IDEAS
    20. Maureen Cropper, 1999. "Valuing Environmental Benefits," Books, Edward Elgar Publishing, number 1409, April.
    21. Michael Hanemann & John Loomis & Barbara Kanninen, 1991. "Statistical Efficiency of Double-Bounded Dichotomous Choice Contingent Valuation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(4), pages 1255-1263.
    22. Nunes, Paulo A. L. D. & Schokkaert, Erik, 2003. "Identifying the warm glow effect in contingent valuation," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 231-245, March.
    23. Kip Viscusi, W. & Magat, Wesley A. & Huber, Joel, 1991. "Pricing environmental health risks: survey assessments of risk-risk and risk-dollar trade-offs for chronic bronchitis," Journal of Environmental Economics and Management, Elsevier, vol. 21(1), pages 32-51, July.
    24. Powe, N. A. & Bateman, I. J., 2003. "Ordering effects in nested 'top-down' and 'bottom-up' contingent valuation designs," Ecological Economics, Elsevier, vol. 45(2), pages 255-270, June.
    25. Beattie, Jane & Covey, Judith & Dolan, Paul & Hopkins, Lorraine & Jones-Lee, Michael & Loomes, Graham & Pidgeon, Nick & Robinson, Angela & Spencer, Anne, 1998. "On the Contingent Valuation of Safety and the Safety of Contingent Valuation: Part 1--Caveat Investigator," Journal of Risk and Uncertainty, Springer, vol. 17(1), pages 5-25, October.
    26. Subramanian, Uma & Cropper, Maureen, 2000. "Public Choices between Life Saving Programs: The Tradeoff between Qualitative Factors and Lives Saved," Journal of Risk and Uncertainty, Springer, vol. 21(1), pages 117-149, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Laetitia Placido & Olivier L'Haridon, 2008. "An allais paradox for generalized expected utility theories?," Economics Bulletin, AccessEcon, vol. 4(19), pages 1-6.
    2. Bruno Jullien & Bernard Salanie, 2000. "Estimating Preferences under Risk: The Case of Racetrack Bettors," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 503-530, June.
    3. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
    4. V. I. Yukalov & D. Sornette, 2012. "Quantum decision making by social agents," Papers 1202.4918, arXiv.org, revised Oct 2015.
    5. Camerer, Colin & Weber, Martin, 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-370, October.
    6. Alarie, Yves, 2000. "L’importance de la procédure dans les choix de loteries," L'Actualité Economique, Société Canadienne de Science Economique, vol. 76(3), pages 321-340, septembre.
    7. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
    8. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    9. repec:kap:jrisku:v:54:y:2017:i:1:d:10.1007_s11166-017-9251-5 is not listed on IDEAS
    10. Soo Chew & Richard Ebstein & Songfa Zhong, 2012. "Ambiguity aversion and familiarity bias: Evidence from behavioral and gene association studies," Journal of Risk and Uncertainty, Springer, vol. 44(1), pages 1-18, February.
    11. Michael H. Birnbaum & Ulrich Schmidt & Miriam D. Schneider, 2017. "Testing independence conditions in the presence of errors and splitting effects," Journal of Risk and Uncertainty, Springer, vol. 54(1), pages 61-85, February.
    12. Zimper, Alexander, 2004. "On the Existence of Strategic Solutions for Games with Security- and Potential Level Players," Sonderforschungsbereich 504 Publications 04-04, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    13. Heilpern, S., 2003. "A rank-dependent generalization of zero utility principle," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 67-73, August.
    14. Schmidt, Ulrich & Birnbaum, Michael, 2014. "The Impact of Experience on Violations of Independence and Coalescing," Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100463, Verein für Socialpolitik / German Economic Association.
    15. Bommier, Antoine, 2017. "A dual approach to ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 104-118.
    16. Alexander Zimper, 2007. "Strategic games with security and potential level players," Theory and Decision, Springer, vol. 63(1), pages 53-78, August.
    17. repec:ebl:ecbull:v:4:y:2008:i:19:p:1-6 is not listed on IDEAS
    18. Ulrich Schmidt, 2001. "Lottery Dependent Utility: a Reexamination," Theory and Decision, Springer, vol. 50(1), pages 35-58, February.
    19. Rolf Aaberge & A B Atkinson, 2013. "The median as watershed," Discussion Papers 749, Statistics Norway, Research Department.
    20. Grechuk, Bogdan & Zabarankin, Michael, 2014. "Risk averse decision making under catastrophic risk," European Journal of Operational Research, Elsevier, vol. 239(1), pages 166-176.
    21. Schmidt, Ulrich & Zank, Horst, 2001. "A new axiomatization of rank-dependent expected utility with tradeoff consistency for equally likely outcomes," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 483-491, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jrisku:v:1:y:1988:i:4:p:355-87. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.