Title
Multiple equilibria and indifference-threshold points in a rational addiction model.
Abstract
Becker and Murphy (J Polit Econ 96(4):675–700, ) have established the existence of unstable steady states leading to threshold behavior for optimal consumption rates in intertemporal rational addiction models. In the present paper a simple linear-quadratic optimal control model is used to illustrate how their approach fits into the framework of multiple equilibria and indifference-threshold points. By changing the degree of addiction and the level of harmfulness we obtain a variety of behavioral patterns. In particular we show that when the good is harmful as well as very addictive, an indifference-threshold point, also known in the literature as a Skiba point, separates patterns converging to either zero or maximal consumption, where the latter occurs in the case of a high level of past consumption. This implicitly shows that an individual needs to be aware in time of these characteristics of the good. Otherwise, he/she may start consuming so much that in the end he/she is totally addicted.
Year
DOI
Venue
2013
10.1007/s10100-012-0260-9
CEJOR
Keywords
Field
DocType
Optimal control,Indifference points,History-dependence,Rational addiction
Behavioral pattern,Economics,Mathematical economics,Optimal control,Addiction,Rational addiction
Journal
Volume
Issue
ISSN
21
3
1435-246X
Citations 
PageRank 
References 
1
0.50
2
Authors
6
Name
Order
Citations
PageRank
Jonathan P. Caulkins114023.90
Gustav Feichtinger214338.93
Richard F. Hartl31863137.30
Peter M. Kort420544.47
Andreas J. Novak572.53
Andrea Seidl6216.18