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On the Concavity of the Consumption Function with a Quadratic Utility under Liquidity Constraints

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  • Shin-Ichi Nishiyama
  • Ryo Kato

Abstract

This paper demonstrates the concavity of the consumption function of infinitely living households under liquidity constraints who are not prudent - i.e. with a quadratic utility. The concavity of the consumption function is closely related to the 3-convexity of the value function.

Suggested Citation

  • Shin-Ichi Nishiyama & Ryo Kato, 2011. "On the Concavity of the Consumption Function with a Quadratic Utility under Liquidity Constraints," TERG Discussion Papers 274, Graduate School of Economics and Management, Tohoku University.
    • Handle: RePEc:toh:tergaa:274
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    File URL: http://hdl.handle.net/10097/55406
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    References listed on IDEAS

    as
    1. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    2. Carroll, Christopher D. & Holm, Martin B. & Kimball, Miles S., 2021. "Liquidity constraints and precautionary saving," Journal of Economic Theory, Elsevier, vol. 195(C).
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    Cited by:

    1. Toda, Alexis Akira, 2021. "Necessity of hyperbolic absolute risk aversion for the concavity of consumption functions," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    2. Gong, Liutang & Zhong, Ruquan & Zou, Heng-fu, 2012. "On the concavity of the consumption function with the time varying discount rate," Economics Letters, Elsevier, vol. 117(1), pages 99-101.
    3. Broer, Tobias, 2020. "Consumption insurance over the business cycle," CEPR Discussion Papers 14579, C.E.P.R. Discussion Papers.

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