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Comparative ambiguity aversion and downside ambiguity aversion

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  • Huang, Yi-Chieh
  • Tzeng, Larry Y.
  • Zhao, Lin

Abstract

This paper first defines an increase in ambiguity and an increase in downside ambiguity. We then provide comparative criteria for ambiguity aversion and downside ambiguity aversion. Different from the finding that the comparative criterion for risk aversion is variant with the measure of the premium to reduce risks, we show that the criteria remain the same, whether the premiums to reduce ambiguity and downside ambiguity are measured by utility or money. Under the criteria, a more ambiguity-averse (downside-ambiguity-averse) individual is shown to spend more effort in reducing ambiguity (downside ambiguity) than a less ambiguity-averse (downside-ambiguity-averse) individual.

Suggested Citation

  • Huang, Yi-Chieh & Tzeng, Larry Y. & Zhao, Lin, 2015. "Comparative ambiguity aversion and downside ambiguity aversion," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 257-269.
    • Handle: RePEc:eee:insuma:v:62:y:2015:i:c:p:257-269
    DOI: 10.1016/j.insmatheco.2015.04.002
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    1. Gary Charness & Edi Karni & Dan Levin, 2013. "Ambiguity attitudes and social interactions: An experimental investigation," Journal of Risk and Uncertainty, Springer, vol. 46(1), pages 1-25, February.
    2. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2011. "Definitions of ambiguous events and the smooth ambiguity model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 399-424, October.
    3. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
    4. Denuit, Michel & Eeckhoudt, Louis, 2010. "Stronger measures of higher-order risk attitudes," LIDAM Discussion Papers ISBA 2010010, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    5. Hideki Iwaki & Yusuke Osaki, 2014. "The dual theory of the smooth ambiguity model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 275-289, June.
    6. Denuit, Michel M. & Eeckhoudt, Louis, 2010. "Stronger measures of higher-order risk attitudes," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2027-2036, September.
    7. Bruno Jullien & Bernard Salanié & François Salanié, 1999. "Should More Risk-Averse Agents Exert More Effort?," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 24(1), pages 19-28, June.
    8. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    9. Laure Cabantous & Denis Hilton & Howard Kunreuther & Erwann Michel-Kerjan, 2011. "Is imprecise knowledge better than conflicting expertise? Evidence from insurers’ decisions in the United States," Journal of Risk and Uncertainty, Springer, vol. 42(3), pages 211-232, June.
    10. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    11. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
    12. David S. Ahn, 2008. "Ambiguity Without a State Space," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 3-28.
    13. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    14. Dionne, Georges & Eeckhoudt, Louis, 1985. "Self-insurance, self-protection and increased risk aversion," Economics Letters, Elsevier, vol. 17(1-2), pages 39-42.
    15. Christian Gollier, 2011. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1329-1344.
    16. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    17. Chuang, O-Chia & Eeckhoudt, Louis & Huang, Rachel J. & Tzeng, Larry Y., 2013. "Risky targets and effort," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 465-468.
    18. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    19. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    20. Anna Conte & John D. Hey, 2018. "Assessing multiple prior models of behaviour under ambiguity," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 7, pages 169-188, World Scientific Publishing Co. Pte. Ltd..
    21. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    22. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-648, July-Aug..
    23. Arthur Snow, 2011. "Ambiguity aversion and the propensities for self-insurance and self-protection," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 27-43, February.
    24. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
    25. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    26. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    27. Paolo Ghirardato & Marciano Siniscalchi, 2012. "Ambiguity in the Small and in the Large," Econometrica, Econometric Society, vol. 80(6), pages 2827-2847, November.
    28. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    29. Ayc{s}e Kocab{i}y{i}kou{g}lu & Ioana Popescu, 2007. "Managerial Motivation Dynamics and Incentives," Management Science, INFORMS, vol. 53(5), pages 834-848, May.
    30. Michael Hoy & Richard Peter & Andreas Richter, 2014. "Take-up for genetic tests and ambiguity," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 111-133, April.
    31. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    32. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    33. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    34. David Alary & Christian Gollier & Nicolas Treich, 2013. "The Effect of Ambiguity Aversion on Insurance and Self‐protection," Economic Journal, Royal Economic Society, vol. 123(12), pages 1188-1202, December.
    35. Marciano Siniscalchi, 2009. "Vector Expected Utility and Attitudes Toward Variation," Econometrica, Econometric Society, vol. 77(3), pages 801-855, May.
    36. Huang, Rachel J., 2012. "Ambiguity aversion, higher-order risk attitude and optimal effort," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 338-345.
    37. Robert Nau, 2011. "Risk, ambiguity, and state-preference theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 437-467, October.
    38. Laure Cabantous, 2007. "Ambiguity Aversion in the Field of Insurance: Insurers’ Attitude to Imprecise and Conflicting Probability Estimates," Theory and Decision, Springer, vol. 62(3), pages 219-240, May.
    39. Li, Jingyuan, 2009. "Comparative higher-degree Ross risk aversion," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 333-336, December.
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    More about this item

    Keywords

    Ambiguity; Downside ambiguity; Comparative ambiguity aversion; Comparative downside ambiguity aversion; Effort;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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