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A Note on Consumption and Savings under Knightian Uncertainty

Author

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  • Jianjun Miao

    () (Department of Economics, Boston University)

Abstract

This paper studies consumption/saving problem under Knightian uncertainty in a two period setting. The multiple-priors utility model is adopted. The effects of income uncertainty and capital uncertainty on optimal savings are analyzed by deriving closed form solutions.

Suggested Citation

  • Jianjun Miao, 2004. "A Note on Consumption and Savings under Knightian Uncertainty," Annals of Economics and Finance, Society for AEF, vol. 5(2), pages 299-311, November.
  • Handle: RePEc:cuf:journl:y:2004:v:5:i:2:p:299-311
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    References listed on IDEAS

    as
    1. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    2. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
    3. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    4. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    5. Bryan Routledge & Stanley Zin, 2009. "Model Uncertainty and Liquidity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 543-566, October.
    6. Epstein, Larry G & Zhang, Jiankang, 2001. "Subjective Probabilities on Subjectively Unambiguous Events," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.
    7. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    8. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    9. Milton Friedman, 1957. "Introduction to "A Theory of the Consumption Function"," NBER Chapters,in: A Theory of the Consumption Function, pages 1-6 National Bureau of Economic Research, Inc.
    10. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    11. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    12. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 275-298.
    13. Epstein Larry G. & Wang Tan, 1995. "Uncertainty, Risk-Neutral Measures and Security Price Booms and Crashes," Journal of Economic Theory, Elsevier, vol. 67(1), pages 40-82, October.
    14. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Oxford University Press, vol. 66(4), pages 873-907.
    15. Epstein, L.G. & Zhang, J., 1998. "Subjective Probabilities on Subjectivity Unambiguous Event," RCER Working Papers 456, University of Rochester - Center for Economic Research (RCER).
    16. Evan W. Anderson & Lars Peter Hansen & Thomas J. Sargent, 2003. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 68-123, March.
    17. Larry G. Epstein, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 579-608.
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    Citations

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    Cited by:

    1. Isaac Kleshchelski & Nicolas Vincent, 2007. "Robust Equilibrium Yield Curves," Cahiers de recherche 08-02, HEC Montréal, Institut d'économie appliquée.
    2. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    3. Takanori Adachi & Takao Asano, 2011. "Entrepreneurial Choice and Knightian Uncertainty with Borrowing Constraints," KIER Working Papers 803, Kyoto University, Institute of Economic Research.
    4. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    5. Hackbarth, Dirk & Miao, Jianjun, 2012. "The dynamics of mergers and acquisitions in oligopolistic industries," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 585-609.
    6. Weidong Xu & Hongyi Li & Chongfeng Wu, 2011. "A Robust General Equilibrium Stochastic Volatility Model with Recursive Preference Investors," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 217-231, November.
    7. Wang, Gaowang, 2011. "Time Preference and Interest Rate in a dynamic general Equilibrium Model," MPRA Paper 34063, University Library of Munich, Germany.
    8. repec:eee:wdevel:v:104:y:2018:i:c:p:257-270 is not listed on IDEAS
    9. Jan-Oliver Menz, 2010. "Uncertainty, social norms and consumption theory: Post and New Keynesian approaches," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 7(1), pages 125-146.
    10. Hui Huang & Shunming Zhang, 2011. "The Distorted Theory of Rank-Dependent Expected Utility," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 233-263, November.
    11. Wang, Gaowang & Zou, Heng-fu, 2011. "Mercantilism, Foreign Asset Accumulation and Macroeconomic Policy," MPRA Paper 34519, University Library of Munich, Germany.

    More about this item

    Keywords

    Consumption; Savings; Knightion uncertainty;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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