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.