IJPAM: Volume 62, No. 2 (2010)
THE AK RAMSEY MODEL WITH EXPONENTIAL UTILITY
AND LOGISTIC POPULATION CHANGE
AND LOGISTIC POPULATION CHANGE
Luca Guerrini
Department of Mathematics for Economic and Social Sciences
University of Bologna
5, Viale Filopanti, Bologna, 40126, ITALY
e-mail: luca.guerrini@unibo.it
Department of Mathematics for Economic and Social Sciences
University of Bologna
5, Viale Filopanti, Bologna, 40126, ITALY
e-mail: luca.guerrini@unibo.it
Abstract.This paper investigates a Ramsey growth model with exponential utility and logistic population growth. The model's solution is found analytically and its long-run behavior is determined.
Received: June 17, 2010
AMS Subject Classification: 91B62
Key Words and Phrases: Ramsey model, exponential utility, logistic population
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 2