Bifurcations of Optimal Vector Fields
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Mäler, K-G. & Xepapadeas, A. & de Zeeuw, A.J., 2000. "The Economics of Shallow Lakes," Other publications TiSEM 77912e04-373f-4bd4-a1b9-b, Tilburg University, School of Economics and Management.
- 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.
- W. Davis Dechert & Kazuo Nishimura, 2012.
"A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function,"
Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257,
Springer.
- 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.
- Gernot Tragler & Jonathan P. Caulkins & Gustav Feichtinger, 2001. "Optimal Dynamic Allocation of Treatment and Enforcement in Illicit Drug Control," Operations Research, INFORMS, vol. 49(3), pages 352-362, June.
- Karl-Göran Mäler & Anastasios Xepapadeas & Aart de Zeeuw, 2003.
"The Economics of Shallow Lakes,"
Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 603-624, December.
- Mäler, K-G. & Xepapadeas, A. & de Zeeuw, A.J., 2000. "The Economics of Shallow Lakes," Other publications TiSEM 77912e04-373f-4bd4-a1b9-b, Tilburg University, School of Economics and Management.
- Mäler, K-G. & Xepapadeas, A. & de Zeeuw, A.J., 2000. "The Economics of Shallow Lakes," Discussion Paper 2000-69, Tilburg University, Center for Economic Research.
- 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.
- Hinloopen, Jeroen & Smrkolj, Grega & Wagener, Florian, 2013.
"From mind to market: A global, dynamic analysis of R&D,"
Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2729-2754.
- Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," Tinbergen Institute Discussion Papers 11-139/1, Tinbergen Institute.
- Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," CeNDEF Working Papers 11-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Moghayer, S. & Wagener, F.O.O., 2009. "Genesis of indifference thresholds and infinitely many indifference points in discrete time infinite horizon optimisation problems," CeNDEF Working Papers 09-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
- Rowthorn, Robert & Toxvaerd, Flavio, 2012.
"The Optimal Control of Infectious Diseases via Prevention and Treatment,"
CEPR Discussion Papers
8925, C.E.P.R. Discussion Papers.
- Rowthorn, R. & Toxvaerd, F.M.O, 2020. "The Optimal Control of Infectious Diseases via Prevention and Treatment," Cambridge Working Papers in Economics 2027, Faculty of Economics, University of Cambridge.
- Kiseleva, Tatiana & Wagener, F.O.O., 2010.
"Bifurcations of optimal vector fields in the shallow lake model,"
Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 825-843, May.
- Kiseleva, T. & Wagener, F.O.O., 2009. "Bifurcations of optimal vector fields in the shallow lake model," CeNDEF Working Papers 09-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Caulkins, Jonathan P. & Feichtinger, Gustav & Johnson, Michael & Tragler, Gernot & Yegorov, Yuri, 2005. "Skiba thresholds in a model of controlled migration," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 490-508, August.
- J. P. Caulkins & G. Feichtinger & D. Grass & G. Tragler, 2007. "Bifurcating DNS Thresholds in a Model of Organizational Bridge Building," Journal of Optimization Theory and Applications, Springer, vol. 133(1), pages 19-35, April.
- Tahvonen, Olli & Salo, Seppo, 1996. "Nonconvexities in Optimal Pollution Accumulation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 160-177, September.
- 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.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2013.
"In Defense of Trusts: R&D Cooperation in Global Perspective,"
CeNDEF Working Papers
13-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Hinloopen, Jeroen & Smrkolj, Grega & Wagener, Florian, 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," MPRA Paper 63551, University Library of Munich, Germany, revised 09 Apr 2015.
- Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," Tinbergen Institute Discussion Papers 13-045/II, Tinbergen Institute.
- Engelbert Dockner & Florian Wagener, 2014.
"Markov perfect Nash equilibria in models with a single capital stock,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
- Dockner, E.J. & Wagener, F.O.O., 2006. "Markov-Perfect Nash Equilibria in Models With a Single Capital Stock," CeNDEF Working Papers 06-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Dockner, E.J. & Wagener, F.O.O., 2013. "Markov=Perfect Nash Equilibria in Models With a Single Capital Stock," CeNDEF Working Papers 13-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Engelbert J. Dockner & Florian O.O. Wagener, 2006. "Markov-Perfect Nash Equilibria in Models with a Single Capital Stock," Tinbergen Institute Discussion Papers 06-055/1, Tinbergen Institute.
- Dockner, E.J. & Wagener, F.O.O., 2008. "Markov-perfect Nash equilibria in models with a single capital stock," CeNDEF Working Papers 08-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Hinloopen, Jeroen & Smrkolj, Grega & Wagener, Florian, 2013.
"From mind to market: A global, dynamic analysis of R&D,"
Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2729-2754.
- Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," Tinbergen Institute Discussion Papers 11-139/1, Tinbergen Institute.
- Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," CeNDEF Working Papers 11-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016.
"R&D Cooperatives and Market Collusion: A Global Dynamic Approach,"
Tinbergen Institute Discussion Papers
16-048/II, Tinbergen Institute.
- Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2017. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 17-020/VII, Tinbergen Institute.
- Wagener, F.O.O., 2013. "Economics of environmental regime shifts," CeNDEF Working Papers 13-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Reddy, P.V. & Schumacher, J.M. & Engwerda, J.C., 2012. "Optimal Management and Differential Games in the Presence of Threshold Effects - The Shallow Lake Model," Discussion Paper 2012-001, Tilburg University, Center for Economic Research.
- Dieter Grass, 2015. "From 0D to 1D spatial models using OCMat," Papers 1505.03956, arXiv.org.
- Grass, D., 2012. "Numerical computation of the optimal vector field: Exemplified by a fishery model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1626-1658.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Tatiana Kiseleva & Florian Wagener, 2015.
"Bifurcations of Optimal Vector Fields,"
Mathematics of Operations Research, INFORMS, vol. 40(1), pages 24-55, February.
- Kiseleva, T. & Wagener, F.O.O., 2011. "Bifurcations of Optimal Vector Fields," CeNDEF Working Papers 11-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
- Wagener, F.O.O., 2013. "Economics of environmental regime shifts," CeNDEF Working Papers 13-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- I. Zeiler & J.P. Caulkins & G. Tragler, 2011. "Optimal Control of Interacting Systems with DNSS Property: The Case of Illicit Drug Use," Post-Print hal-00978258, HAL.
- Yegorov, Yury & Wirl, Franz & Grass, Dieter & Eigruber, Markus & Feichtinger, Gustav, 2022. "On the matthew effect on individual investments in skills in arts, sports and science," Journal of Economic Behavior & Organization, Elsevier, vol. 196(C), pages 178-199.
- Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 60-73, April.
- Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
- Francesco Bartaloni, 2021. "Existence of the Optimum in Shallow Lake Type Models with Hysteresis Effect," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 358-392, August.
- Moghayer, S. & Wagener, F.O.O., 2009. "Genesis of indifference thresholds and infinitely many indifference points in discrete time infinite horizon optimisation problems," CeNDEF Working Papers 09-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Yuri Yegorov & Dieter Grass & Magda Mirescu & Gustav Feichtinger & Franz Wirl, 2020.
"Growth and Collapse of Empires: A Dynamic Optimization Model,"
Journal of Optimization Theory and Applications, Springer, vol. 186(2), pages 620-643, August.
- Yuri Yegorov & Dieter Grass & Magda Mirescu & Gustav Feichtinger & Franz Wirl, 2019. "Growth and Collapse of Empires: A Dynamic Optimization Model," VID Working Papers 1905, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
- Engelbert Dockner & Florian Wagener, 2014.
"Markov perfect Nash equilibria in models with a single capital stock,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
- Dockner, E.J. & Wagener, F.O.O., 2006. "Markov-Perfect Nash Equilibria in Models With a Single Capital Stock," CeNDEF Working Papers 06-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Dockner, E.J. & Wagener, F.O.O., 2013. "Markov=Perfect Nash Equilibria in Models With a Single Capital Stock," CeNDEF Working Papers 13-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Engelbert J. Dockner & Florian O.O. Wagener, 2006. "Markov-Perfect Nash Equilibria in Models with a Single Capital Stock," Tinbergen Institute Discussion Papers 06-055/1, Tinbergen Institute.
- Dockner, E.J. & Wagener, F.O.O., 2008. "Markov-perfect Nash equilibria in models with a single capital stock," CeNDEF Working Papers 08-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Florian Wagener, 2013.
"Shallow lake economics run deep: nonlinear aspects of an economic-ecological interest conflict,"
Computational Management Science, Springer, vol. 10(4), pages 423-450, December.
- Wagener, F.O.O., 2009. "Shallow lake economics run deep: Nonlinear aspects of an economic-ecological interest conflict," CeNDEF Working Papers 09-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- F.O.O. Wagener, 2009. "Shallow Lake Economics Run Deep: Nonlinear Aspects of an Economic-Ecological Interest Conflict," Tinbergen Institute Discussion Papers 09-033/1, Tinbergen Institute.
- F. O. O. Wagener, 2006.
"Skiba Points for Small Discount Rates,"
Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 261-277, February.
- Wagener, F.O.O., 2004. "Skiba points for small discount rates," CeNDEF Working Papers 04-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Dmitry Gromov & Thorsten Upmann, 2021. "Dynamics and Economics of Shallow Lakes: A Survey," Sustainability, MDPI, vol. 13(24), pages 1-16, December.
- Rosser Jr., J. Barkley, 2007. "The rise and fall of catastrophe theory applications in economics: Was the baby thrown out with the bathwater?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3255-3280, October.
- Heijnen, P. & Wagener, F.O.O., 2013. "Avoiding an ecological regime shift is sound economic policy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1322-1341.
- R. F. Hartl & P. M. Kort & G. Feichtinger & F. Wirl, 2004. "Multiple Equilibria and Thresholds Due to Relative Investment Costs," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 49-82, October.
- Dechert, W.D. & O'Donnell, S.I., 2006. "The stochastic lake game: A numerical solution," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1569-1587.
- Ranjan, Ram & Shortle, James, 2007. "The environmental Kuznets curve when the environment exhibits hysteresis," Ecological Economics, Elsevier, vol. 64(1), pages 204-215, October.
- Lemoine, Derek M. & Traeger, Christian P., 2010.
"Tipping Points and Ambiguity in the Economics of Climate Change,"
CUDARE Working Papers
98127, University of California, Berkeley, Department of Agricultural and Resource Economics.
- Derek M. Lemoine & Christian P. Traeger, 2012. "Tipping Points and Ambiguity in the Economics of Climate Change," NBER Working Papers 18230, National Bureau of Economic Research, Inc.
- Lemoine, Derek M. & Traeger, Christian P., 2011. "Tipping points and ambiguity in the economics of climate change," CUDARE Working Papers 120349, University of California, Berkeley, Department of Agricultural and Resource Economics.
- Lemoine, Derek M. & Traeger, Christian P., 2011. "Tipping points and ambiguity in the economics of climate change," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt9nd591ww, Department of Agricultural & Resource Economics, UC Berkeley.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ams:ndfwpp:11-05. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Cees C.G. Diks (email available below). General contact details of provider: https://edirc.repec.org/data/cnuvanl.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.