Genesis of indifference thresholds and infinitely many indifference points in discrete time infinite horizon optimisation problems
This article investigates the discrete time indifference-attractor bifurcation of infinite horizon continous-time optimal control problems with a single state variable. We show that these bifurcations are linked to a heteroclinic bifurcation scenario of the state-costate equations, and we analyse the consequences for the optimal solutions. In particular, we can characterise the bifurcation value at which indifference thresholds appear by a geometric condition, and we find that for certain parameter values, there are countably infinitely many indifference points. We apply our results to a modified version of the shallow lake pollution management problem.
|Date of creation:||2009|
|Date of revision:|
|Contact details of provider:|| Postal: Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands|
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- Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
- Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
- Dawid, Herbert & Deissenberg, Christophe, 2005.
"On the efficiency-effects of private (dis-)trust in the government,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 57(4), pages 530-550, August.
- Herbert Dawid & Christophe Deissenberg, . "On the Efficiency-Effects of Private (Dis-)Trust in the Government," Modeling, Computing, and Mastering Complexity 2003 25, Society for Computational Economics.
- Mäler, K-G. & Xepapadeas, A. & de Zeeuw, A.J., 2003.
"The economics of shallow lakes,"
Other publications TiSEM
368f83ad-bc2f-4ad4-b603-8, Tilburg University, School of Economics and Management.
- Grune, Lars & Semmler, Willi, 2004. "Using dynamic programming with adaptive grid scheme for optimal control problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2427-2456, December.
- Olli Tahvonen, 1995. "Dynamics of pollution control when damage is sensitive to the rate of pollution accumulation," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(1), pages 9-27, January.
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