Abstract
This study empirically investigates the influence of ambiguity on consumers’ decision to buy a hypothetical earthquake insurance policy. Using survey data, it identifies effects of specific consumer characteristics on their decision based on the Maxmin Expected Utility (MEU) model. We develop an econometric model consistent with the MEU model derived from axioms. Our study provides three main results: First, respondents’ preferences for the insurance when faced with 1%, 5%, and 10% appraisal risk are generally inconsistent with expected utility theory. Second, respondents demanded more than a 10% reduction in insurance premium as compensation for accepting each tier of appraisal risk. Third, the required discount is greatest among men who had previously purchased earthquake insurance and had experienced earthquake damage to their houses, and the required discount increases with age and education.
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References
Anscombe, F. J., & Aumann, R. J. (1963). A definition of subjective probability. The Annals of Mathematical Statistics 34, 199–205.
Barsky, R. B., Juster, F. T., Kimball, M. S., & Shapiro, M. D. (1997). Preference parameters and behavioral heterogeneity: an experimental approach in the health and retirement study. Quarterly Journal of Economics, 112, 537–579.
Beattie, J., & Loomes, G. (1997). The impact of incentives upon risky choice experiments. Journal Risk and Uncertainty, 14, 155–168.
Becker, S. W., & Brownson, F. O. (1961). What price ambiguity? Or the role of ambiguity in decision-making. Journal of Polit Economy, 72, 62–73.
Binswanger, H. (1980). Attitudes toward risk: experimental measurement in rural India. American Journal of Agricultural Economics, 62, 395–407.
Binswanger, H. (1981). Attitudes toward risk: theoretical implications of an experiment in rural India. Economic Journal, 91, 869–890.
Camerer, C. F. (1995). Individual decision making. In J. H. Kagel, & A. E. Roth (Eds.), The Handbook of Experimental Economics. Princeton, NJ: Princeton University Press.
Camerer, C. F., & Hogarth, R. M. (1999). The Effects of financial incentives in experiments: a review and capital-labor-production framework. Journal of Risk and Uncertainty, 19, 7–42.
Camerer, C., & Weber, M. (1992). Recent develop-ments in modeling preferences: uncertainty and ambiguity. Journal of Risk and Uncertainty, 5, 325–370.
Cameron, T. A. (1987). The impact of grouped-data regression models. Journal of Econometrics, 35, 37–57.
Cameron, T. A. (2005). Individual option prices for climate change mitigation. Journal of Public Economics, 89, 283–301.
Cramer, J. S., Hartog, J., Jonker, N., & van Praag, C. M. (2002). Low risk aversion encourages the choice for entrepreneurship: an empirical test of a truism. Journal of Economic Behavior and Organization, 48, 29–36.
Curley, S. E., & Yates, F. J. (1986). An empirical evaluation of descriptive models of ambiguity reactions in choice situations. Journal of Mathematical Psychology, 33, 397–427.
Donkers, B., Melenberg, B., & van Soest, A. (2001). Estimating risk attitudes using lotteries: a large sample approach. Journal of Risk and Uncertainty, 22, 165–195.
Einhorn, H., & Hogarth, R. (1985). Ambiguity and uncertainty in probabilistic inference. Psychological Review, 92, 433–461.
Einhorn, H., & Hogarth, R. (1986). Decision making under ambiguity. Journal of Business 59: 225–250.
Ellsberg, D. (1961). Risk, ambiguity, and the savage axioms. Quarterly Journal of Economics 75, 643–669.
Eisenhauer, J. G., & Venturaz, L. (2003). Survey measures of risk aversion and prudence. Applied Economics 35, 1477–1484.
Fellner, W. (1961). Distortion of subjective probabilities as a reaction to uncertainty. Quarterly Journal of Economics 75, 670–694.
Friend, I., & Blume, M. E. (1975). The demand for risky assets. The American Economic Review, 65, 900–922.
Frisch, D., & Baron, J. (1988). Ambiguity and rationality. Journal of Behavioral Decision Making, 1, 149–157.
Gilboa, I., & Schmeidler, D. (1989). Maxmin expected utility with non-unique prior. Journal of Mathematical Economics, 18, 141–153.
Gollier, C. (2001). The Economics of Risk and Time (pp. 31–32). MIT Press
Grether, D. M., & Plott, C. R. (1979). Economic theory of choice and the preference reversal phenomenon. The American Economic Review, 85, 260–266.
Halek, M., & Eisenhauer, J. G. (2001). Demography of risk aversion. Journal of Risk and Insurance 68, 1–24.
Hansen, L. P., & Singleton, K. J. (1982). Generalized instrumental variables estimation of nonlinear rational expectations models. Econometrica, 50, 1269–1286.
Hansen, L. P., & Sargent, T. J. (2001). Robust control and model misspecification. The American Economic Review 91, 60–66.
Hartog, J., Ferrer-i-Carbonell, J., & Jonker, N. (2002). Linking measured risk aversion to individual characteristics. Kyklos, 55, 3–26.
Hogarth, R. M., & Kunreuther, H. (1995). Decision making under ignorance: arguing with yourself. Journal of Risk and Uncertainty 10, 15–36.
Kahn, B. E., & Sarin, R. K. (1988). Modelling ambigity in decisions under uncertainty. Journal of Consumer Research 15, 265–272.
Kahneman, D., & Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47, 263–291.
Kunreuther, H. J., Meszaros, R. M., Hogarth, R., & Spranca, M. (1995). Ambiguity and underwriter decision processes. Journal of Economic Behavior and Organization, 26, 337–352.
Ljungqvist, L., & Sargent, T. J. (2000). Recursive Macroeconomic Theory (pp. 260–261). MIT Press
MacCrimmon, K. R., & Larsson, S. (1979). Utility theory: axioms versus paradoxes. In M. Allais & O. Hagen (Eds.), Expected Utility and the Allais Paradox. Dordrecht, Holland: Reidel
Mankiw, N. G. (1985). Consumer durables and the real interest rate. Review of Economics and Statistics 67, 353–362.
Mauro, C. D., & Maffioletti, A. (1996). An experimental investigation of the impact of ambiguity on the valuation of self-insurance and self-Protection. Journal of Risk and Uncertainty 13, 53–71.
Mauro, C. D., & Maffioletti, A. (2004). Attitudes to risk and attitudes to uncertainty: experimental evidence. Applied Economics 36, 357–372.
Mazda, Y., Tatano, H., & Okada, N. (2005). Estimation of risk premium for disaster risk by contingent valuation method. Infrastructure Planning Review 22, 325–334 (in Japanese).
Non-Life Insurance Rating Organization of Japan (2004). Survey on public awareness of catastrophic earthquake risks. Earthquake Insurance Research 5 (in Japanese)
van Praag, C. M. (1996). Determinants of Successful Entrepreneurship. Tinbergen Institute Research Series, vol. 107. Amsterdam: Thesis Publishers.
Riddel, M., & Shaw, W. D. (2006). A theoretically-consistent empirical model of non-expected utility: an application to nuclear-waste transport. Journal of Risk and Uncertainty 32, 131–150.
Riley, W. B., & Chow, K. V. (1992). Asset allocation and individual risk aversion. Financial Analysts Journal, 48, 32–37.
Savage, L. J. (1954). The Foundations of Statistics. New York: Wiley.
Shubert, R., Brown, M., Gysler, M., & Brachinger, H. W. (1999). Financial decision-making: are women really more risk averse? The American Economic Review 89, 381–385.
Siegal, F. W., & Hoban, J. P. (1982). Relative risk aversion revisited. The Review of Economics and Statistics, 64, 481–487.
Slovic, P., & Tversky, A. (1974). Who accepts Savage’s axiom? Behavioral Science, 19, 368–373.
Sunden, A. E., & Surette, B. J. (1998). Gender differences in the allocation of assets in retirement savings plans. The American Economic Review, 88, 207–211.
Szpiro, G. G. (1986). Measuring risk aversion: an alternative approach. The Review of Economics and Statistics, 68, 156–159.
Wakker, P. P., Thaler, R. H., & Tversky, A. (1997). Probabilistic Insurance. Journal of Risk and Uncertainty, 15, 7–28.
Weber, W. E. (1975). Interest rates, inflation, and consumer expenditures. The American Economic Review, 65, 843–858.
Acknowledgements
We thank Professor Markku Kallio for reading the draft and making many helpful suggestions. Helpful comments from anonymous reviewers and participants at the December 2009 CwU Workshop are also acknowledged.
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Fujimi, T., Tatano, H. (2012). An Econometric Model Based on the Maxmin Expected Utility Model: An Application to Earthquake Insurance. In: Ermoliev, Y., Makowski, M., Marti, K. (eds) Managing Safety of Heterogeneous Systems. Lecture Notes in Economics and Mathematical Systems, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22884-1_5
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DOI: https://doi.org/10.1007/978-3-642-22884-1_5
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