C. D. Carroll and M. S. Kimball, “On the Concavity of the Consumption Function,” Econometrica, Vol. 64, No. 4, 1996, pp. 981-992. doi:10.2307/2171853

has been cited by the following article:

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

  AUTHORS: Shin-Ichi Nishiyama, Ryo Kato

  KEYWORDS: Consumption Function, Liquidity Constraints

  JOURNAL NAME: Theoretical Economics Letters, Vol.2 No.5, December 28, 2012

  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.