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Is the Rational Addiction model inherently impossible to estimate?
Audrey Laporte1, Adrian Rohit Dass1, Brian S Ferguson2
1Institute of Health Policy, Management and Evaluation, Health Sciences Building, University of Toronto, 155 College Street, 4th floor, Toronto, Ontario, M5T 3M6, Canada; Canadian Centre for Health Economics, Health Sciences Building, University of Toronto, 155 College Street, suite 440, Toronto, Ontario, M5T 3M6, Canada.
Abstract:
The Rational Addiction (RA) model is increasingly often estimated using individual level panel data with mixed results; in particular, with regard to the implied rate of time discount. This paper suggests that the odd values of the rate of discount frequently found in the literature may in fact be a consequence of the saddle-point dynamics associated with individual level inter-temporal optimization problems. We report the results of Monte Carlo experiments estimating RA-type difference equations that seem to suggest the possibility that the presence of both a stable and an unstable root in the dynamic process may create serious problems for the estimation of RA equations.
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