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Partial Identification of Willingness-to-Pay Using Shape Restrictions with an Application to the Value of a Statistical Life

Author

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  • Sojourner, Aaron J.

    () (University of Minnesota)

Abstract

Economists often analyze cross-sectional data to estimate the value people implicit place on attributes of goods using hedonic methods. Usually strong enough assumptions are made on the functional form of utility to point identify individuals' willingness-to-pay (WTP) for changes in attribute levels. Instead, this paper develops a new way to partially identify WTP under a weak set of conditions on the shape of individual indifference curves. In particular, indifference curves are assumed to be increasing and convex in an attribute-cost space that is finitely bounded above. These shape restrictions provide informative partial identification without relying on functional form restrictions for utility. Identification given general, potentially discrete, as well as smooth price functions is analyzed. To illustrate this method, we contribute to the literature on the value of a statistical life (VSL) by analyzing labor market data to study people's willingness to pay (WTP) for reductions in levels of fatal risk. The paper contrasts VSL estimates from conventional analysis with the bounds obtained under this new approach using a common data set. The data are shown to be consistent with a wide range of WTP values even given equilibrium and credible shape restrictions. This suggests that conventional estimates may be driven by functional form restrictions imposed on utility rather than by the data or properties of equilibrium.

Suggested Citation

  • Sojourner, Aaron J., 2010. "Partial Identification of Willingness-to-Pay Using Shape Restrictions with an Application to the Value of a Statistical Life," IZA Discussion Papers 5066, Institute for the Study of Labor (IZA).
  • Handle: RePEc:iza:izadps:dp5066
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    References listed on IDEAS

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    1. Sandra E. Black, 1999. "Do Better Schools Matter? Parental Valuation of Elementary Education," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 577-599.
    2. Ivar Ekeland & James J. Heckman & Lars Nesheim, 2004. "Identification and Estimation of Hedonic Models," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 60-109, February.
    3. Janusz R. Mrozek & Laura O. Taylor, 2002. "What determines the value of life? a meta-analysis," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 21(2), pages 253-270.
    4. Heckman, James J. & Matzkin, Rosa & Nesheim, Lars, 2003. "Simulation and Estimation of Hedonic Models," IZA Discussion Papers 843, Institute for the Study of Labor (IZA).
    5. Jason F. Shogren & Tommy Stamland, 2002. "Skill and the Value of Life," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1168-1197, October.
    6. Ikuho Kochi & Bryan Hubbell & Randall Kramer, 2006. "An Empirical Bayes Approach to Combining and Comparing Estimates of the Value of a Statistical Life for Environmental Policy Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 34(3), pages 385-406, July.
    7. Kenneth Y. Chay & Michael Greenstone, 2005. "Does Air Quality Matter? Evidence from the Housing Market," Journal of Political Economy, University of Chicago Press, vol. 113(2), pages 376-424, April.
    8. Richard Thaler & Sherwin Rosen, 1976. "The Value of Saving a Life: Evidence from the Labor Market," NBER Chapters,in: Household Production and Consumption, pages 265-302 National Bureau of Economic Research, Inc.
    9. 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.
    10. Patrick Bajari & C. Lanier Benkard, 2005. "Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1239-1276, December.
    11. repec:dau:papers:123456789/6486 is not listed on IDEAS
    12. W. Kip Viscusi, 2004. "The Value of Life: Estimates with Risks by Occupation and Industry," Economic Inquiry, Western Economic Association International, vol. 42(1), pages 29-48, January.
    13. Hwang, Hae-shin & Reed, W Robert & Hubbard, Carlton, 1992. "Compensating Wage Differentials and Unobserved Productivity," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 835-858, August.
    14. Orley Ashenfelter & Michael Greenstone, 2004. "Using Mandated Speed Limits to Measure the Value of a Statistical Life," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 226-267, February.
    15. repec:reg:rpubli:282 is not listed on IDEAS
    16. Biddle, Jeff E & Zarkin, Gary A, 1988. "Worker Preferences and Market Compensation for Job Risk," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 660-667, November.
    17. Charles Brown, 1980. "Equalizing Differences in the Labor Market," The Quarterly Journal of Economics, Oxford University Press, vol. 94(1), pages 113-134.
    18. Smith, V Kerry & Huang, Ju-Chin, 1995. "Can Markets Value Air Quality? A Meta-analysis of Hedonic Property Value Models," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 209-227, February.
    19. Pratt, John W & Zeckhauser, Richard J, 1996. "Willingness to Pay and the Distribution of Risk and Wealth," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 747-763, August.
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    More about this item

    Keywords

    hedonic; partial identification; value of a statistical life; shape restrictions;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • I10 - Health, Education, and Welfare - - Health - - - General
    • J28 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Safety; Job Satisfaction; Related Public Policy

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