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Intertemporal substitution and recursive smooth ambiguity preferences


  • Miao, Jianjun

    () (Department of Economics, Boston University)

  • Hayashi, Takashi

    () (Department of Economics, University of Texas at Austin)


In this paper, we establish an axiomatically founded generalized recursive smooth ambiguity model that allows for a separation among intertemporal substitution, risk aversion, and ambiguity aversion. We axiomatize this model using two approaches: the second-order act approach à la Klibanoff, Marinacci, and Mukerji (2005) and the two-stage randomization approach à la Seo (2009). We characterize risk attitude and ambiguity attitude within these two approaches. We then discuss our model's application in asset pricing. Our recursive preference model nests some popular models in the literature as special cases.

Suggested Citation

  • Miao, Jianjun & Hayashi, Takashi, 2011. "Intertemporal substitution and recursive smooth ambiguity preferences," Theoretical Economics, Econometric Society, vol. 6(3), September.
  • Handle: RePEc:the:publsh:843

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    Cited by:

    1. Chiaki Hara & Toshiki Honda, 2016. "Mutual Fund Theorem for Ambiguity-Averse Investors and the Optimality of the Market Portfolio," KIER Working Papers 943, Kyoto University, Institute of Economic Research.
    2. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    3. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    4. Illeditsch, PK & Ganguli, J & Condie, S, 2017. "Information Inertia (Working Paper)," Economics Discussion Papers 15615, University of Essex, Department of Economics.
    5. repec:esx:essedp:719 is not listed on IDEAS
    6. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    7. repec:esx:essedp:770 is not listed on IDEAS
    8. Traeger, Christian P., 2011. "Subjective Risk, Confidence, and Ambiguity," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt0gw7t7vn, Department of Agricultural & Resource Economics, UC Berkeley.
    9. Gallant, A. Ronald & Jahan-Parvar, Mohammad & Liu, Hening, 2015. "Measuring Ambiguity Aversion," Finance and Economics Discussion Series 2015-105, Board of Governors of the Federal Reserve System (U.S.).
    10. Massimo Marinacci, 2015. "Model Uncertainty," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1022-1100, December.
    11. Menachem Brenner & Yehuda Izhakian, 2011. "Asset Priving and Ambiguity: Empirical Evidence," Working Papers 11-10, New York University, Leonard N. Stern School of Business, Department of Economics.
    12. Backus, David & Ferriere, Axelle & Zin, Stanley, 2015. "Risk and ambiguity in models of business cycles," Journal of Monetary Economics, Elsevier, vol. 69(C), pages 42-63.
    13. Thimme, Julian & Völkert, Clemens, 2015. "High order smooth ambiguity preferences and asset prices," Review of Financial Economics, Elsevier, vol. 27(C), pages 1-15.
    14. Sinitskaya, Ekaterina, 2014. "Computational modeling of an economy using elements of artificial intelligence," ISU General Staff Papers 201401010800005291, Iowa State University, Department of Economics.
    15. Yehuda Izhakian, 2012. "Ambiguity Measurement," Working Papers 12-01, New York University, Leonard N. Stern School of Business, Department of Economics.
    16. Ganguli, J & Condie, S & Illeditsch, PK, 2012. "Information Inertia," Economics Discussion Papers 5628, University of Essex, Department of Economics.
    17. Izhakian, Yehuda, 2017. "Expected utility with uncertain probabilities theory," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 91-103.
    18. Yehuda Izhakian & Zur Izhakian, 2015. "Decision making in phantom spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 59-98, January.
    19. Phelim Boyle & Lorenzo Garlappi & Raman Uppal & Tan Wang, 2012. "Keynes Meets Markowitz: The Trade-Off Between Familiarity and Diversification," Management Science, INFORMS, vol. 58(2), pages 253-272, February.
    20. Jianjun Miao & Bin Wei & Hao Zhou, 2012. "Ambiguity Aversion and Variance Premium," Boston University - Department of Economics - Working Papers Series WP2012-009, Boston University - Department of Economics.
    21. Asano, Takao & Shibata, Akihisa, 2011. "Optimal pricing and quality choice of a monopolist under Knightian uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(6), pages 746-754.
    22. Marie-Charlotte Guetlein, 2016. "Comparative Risk Aversion in the Presence of Ambiguity," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 51-63, August.

    More about this item


    Ambiguity; ambiguity aversion; risk aversion; intertemporal substitution; model uncertainty; recursive utility; dynamic consistency;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General


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