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Skiba points and heteroclinic bifurcations, with applications to the shallow lake system

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  1. Unami, Koichi & Mohawesh, Osama & Fadhil, Rasha M., 2019. "Time periodic optimal policy for operation of a water storage tank using the dynamic programming approach," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 418-431.
  2. Bondarev, Anton & Greiner, Alfred, 2018. "Catching-up and falling behind: Effects of learning in an R&D differential game with spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 134-156.
  3. 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.
  4. Salerno, Gillian & Beard, Rodney & McDonald, Stuart, 2007. "Rent Seeking Behavior and Optimal Taxation of Pollution in Shallow Lakes," MPRA Paper 11225, University Library of Munich, Germany, revised 22 Oct 2008.
  5. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
  6. 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.
  7. Anne Sophie Crépin, 2003. "Management Challenges for Multiple-Species Boreal Forests," Working Papers 2003.106, Fondazione Eni Enrico Mattei.
  8. 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.
  9. Dmitry Gromov & Thorsten Upmann, 2021. "Dynamics and Economics of Shallow Lakes: A Survey," Sustainability, MDPI, vol. 13(24), pages 1-16, December.
  10. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2013. "When to make proprietary software open source," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1182-1194.
  11. Crépin, Anne-Sophie & Norberg, Jon & Mäler, Karl-Göran, 2011. "Coupled economic-ecological systems with slow and fast dynamics -- Modelling and analysis method," Ecological Economics, Elsevier, vol. 70(8), pages 1448-1458, June.
  12. 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.
  13. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
  14. Anne‐Sophie Crépin & Eric Nævdal, 2020. "Inertia Risk: Improving Economic Models of Catastrophes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(4), pages 1259-1285, October.
  15. Guy Meunier & Ingmar Schumacher, 2020. "The importance of considering optimal government policy when social norms matter for the private provision of public goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 630-655, June.
  16. 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.
  17. 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.
  18. Dieter Grass, 2015. "From 0D to 1D spatial models using OCMat," Papers 1505.03956, arXiv.org.
  19. 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.
  20. Fenichel, Eli P. & Horan, Richard D., 2016. "Tinbergen and tipping points: Could some thresholds be policy-induced?," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 137-152.
  21. Aart Zeeuw & Chuan-Zhong Li, 2016. "The Economics of Tipping Points," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(3), pages 513-517, November.
  22. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A., 2011. "On the optimal taxation of common-pool resources," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1868-1879.
  23. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," DEM Discussion Paper Series 20-25, Department of Economics at the University of Luxembourg.
  24. 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.
  25. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," CEE-M Working Papers hal-03052114, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
  26. Wagener, Florian & de Zeeuw, Aart, 2021. "Stable partial cooperation in managing systems with tipping points," Journal of Environmental Economics and Management, Elsevier, vol. 109(C).
  27. Wagener, F.O.O., 2005. "Structural analysis of optimal investment for firms with non-concave revenue," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 474-489, August.
  28. Dávila-Fernández, Marwil J. & Sordi, Serena, 2020. "Structural change in a growing open economy: Attitudes and institutions in Latin America and Asia," Economic Modelling, Elsevier, vol. 91(C), pages 358-385.
  29. Fabien Prieur & Ingmar Schumacher, 2016. "The role of conflict for optimal climate and immigration policy," Working Papers 2016.27, FAERE - French Association of Environmental and Resource Economists.
  30. 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.
  31. 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.
  32. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M., 2011. "Two state capital accumulation with heterogenous products: Disruptive vs. non-disruptive goods," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 462-478, April.
  33. Johannus Janmaat, 2012. "Fishing in a Shallow Lake: Exploring a Classic Fishery Model in a Habitat with Shallow Lake Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(2), pages 215-239, February.
  34. Eftichios Sartzetakis & Anastasios Xepapadeas & Emmanuel Petrakis, 2012. "The Role of Information Provision as a Policy Instrument to Supplement Environmental Taxes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(3), pages 347-368, July.
  35. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
  36. Akihiko Yanase & Ngo Van Long & Ngo Van Long, 2020. "Trade Costs and Strategic Investment in Infrastructure in a Dynamic Global Economy with Symmetric Countries," CESifo Working Paper Series 8707, CESifo.
  37. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2017. "Research and Development Cooperatives and Market Collusion: A Global Dynamic Approach," Journal of Optimization Theory and Applications, Springer, vol. 174(2), pages 567-612, August.
  38. 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.
  39. Wirl, Franz, 2009. "OPEC as a political and economical entity," European Journal of Political Economy, Elsevier, vol. 25(4), pages 399-408, December.
  40. Anastasios Xepapadeas, 2010. "Modeling complex systems," Agricultural Economics, International Association of Agricultural Economists, vol. 41(s1), pages 181-191, November.
  41. 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.
  42. Anne Sophie Crépin, 2003. "Threshold Effects in Coral Reef Fisheries," Working Papers 2003.107, Fondazione Eni Enrico Mattei.
  43. Mota, Rui Pedro & Domingos, Tiago, 2004. "Optimal ecosystem management with structural dynamics," MPRA Paper 13344, University Library of Munich, Germany.
  44. Guttormsen, Atle G. & Kristofersson, Dadi & Nævdal, Eric, 2008. "Optimal management of renewable resources with Darwinian selection induced by harvesting," Journal of Environmental Economics and Management, Elsevier, vol. 56(2), pages 167-179, September.
  45. 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.
  46. G. Feichtinger & A. Steindl, 2006. "DNS Curves in a Production/Inventory Model," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 295-308, February.
  47. Seidl, Andrea & Caulkins, Jonathan P. & Hartl, Richard F. & Kort, Peter M., 2018. "Serious strategy for the makers of fun: Analyzing the option to switch from pay-to-play to free-to-play in a two-stage optimal control model with quadratic costs," European Journal of Operational Research, Elsevier, vol. 267(2), pages 700-715.
  48. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
  49. 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.
  50. Feichtinger, Gustav & Grass, Dieter & Kort, Peter M. & Seidl, Andrea, 2021. "On the Matthew effect in research careers," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
  51. 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.
  52. Can Askan Mavi, 2019. "Can harmful events be another source of environmental traps?," CEE-M Working Papers halshs-02141789, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
  53. Wirl, Franz, 2016. "Indeterminacy and history dependence of strategically interacting players," Economics Letters, Elsevier, vol. 145(C), pages 19-24.
  54. Herbert Dawid & Michel Y. Keoula & Peter M. Kort, 2017. "Numerical Analysis of Markov-Perfect Equilibria with Multiple Stable Steady States: A Duopoly Application with Innovative Firms," Dynamic Games and Applications, Springer, vol. 7(4), pages 555-577, December.
  55. Chen, Yong & Jayaprakash, Ciriyam & Irwin, Elena, 2012. "Threshold management in a coupled economic–ecological system," Journal of Environmental Economics and Management, Elsevier, vol. 64(3), pages 442-455.
  56. 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.
  57. James Shortle & Richard D. Horan, 2017. "Nutrient Pollution: A Wicked Challenge for Economic Instruments," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-39, April.
  58. 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.
  59. Tatiana Kiseleva, 2016. "Heterogeneous Beliefs and Climate Catastrophes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(3), pages 599-622, November.
  60. 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.
  61. Rosser Jr., J. Barkley, 2010. "Is a transdisciplinary perspective on economic complexity possible?," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 3-11, July.
  62. 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.
  63. Wirl, Franz, 2004. "Thresholds in concave renewable resource models," Ecological Economics, Elsevier, vol. 48(2), pages 259-267, February.
  64. Anton Bondarev, 2021. "Games Without Winners: Catching-up with Asymmetric Spillovers," Dynamic Games and Applications, Springer, vol. 11(4), pages 670-703, December.
  65. Tiho Ancev & Karunagaran Madhavan, 2023. "Size matters: Optimal management of dynamic systems with varying size," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 67(1), pages 137-153, January.
  66. Francesco Bartaloni, 2020. "Existence of Solutions to Shallow Lake Type Optimal Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 384-415, May.
  67. Crépin, Anne-Sophie & Biggs, Reinette & Polasky, Stephen & Troell, Max & de Zeeuw, Aart, 2012. "Regime shifts and management," Ecological Economics, Elsevier, vol. 84(C), pages 15-22.
  68. Mavi, Can Askan, 2020. "Can harmful events be another source of environmental traps?," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 29-46.
  69. William Brock & Anastasios Xepapadeas, 2020. "Spatial Environmental and Resource Economics," DEOS Working Papers 2002, Athens University of Economics and Business.
  70. Jonathan Caulkins & Gustav Feichtinger & Richard Hartl & Peter Kort & Andreas Novak & Andrea Seidl, 2013. "Multiple equilibria and indifference-threshold points in a rational addiction model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 507-522, September.
  71. 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.
  72. J. Barkley Rosser, Jr, 2011. "Post Keynesian Perspectives And Complex Ecologic–Economic Dynamics," Metroeconomica, Wiley Blackwell, vol. 62(1), pages 96-121, February.
  73. 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.
  74. Six, M. & Wirl, F., 2015. "Optimal pollution management when discount rates are endogenous," Resource and Energy Economics, Elsevier, vol. 42(C), pages 53-70.
  75. Anne-Sophie Crépin, 2003. "Multiple Species Boreal Forests – What Faustmann Missed," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 625-646, December.
  76. Derek Lemoine & Christian Traeger, 2014. "Watch Your Step: Optimal Policy in a Tipping Climate," American Economic Journal: Economic Policy, American Economic Association, vol. 6(1), pages 137-166, February.
  77. Pim Heijnen & Lammertjan Dam, 2019. "Catastrophe and Cooperation," Dynamic Games and Applications, Springer, vol. 9(1), pages 122-141, March.
  78. 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.
  79. Partha Dasgupta & Karl-Göran Mäler, 2003. "The Economics of Non-Convex Ecosystems: Introduction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 499-525, December.
  80. Tatiana Kiseleva & Florian Wagener, 2015. "Bifurcations of Optimal Vector Fields," Mathematics of Operations Research, INFORMS, vol. 40(1), pages 24-55, February.
  81. 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.
  82. Ram Ranjan & James Shortle, 2017. "Protecting and Restoring Aquatic Ecosystems in Multiple Stressor Environments," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-28, April.
  83. Gezer, Serhat, 2019. "Delaying product introduction: A dynamic analysis with endogenous time horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 96-114.
  84. Can Askan Mavi, 2020. "Can harmful events be another source of environmental traps?," Post-Print hal-02880592, HAL.
  85. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015. "Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function," Discussion Paper Series DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
  86. Arvaniti, Maria & Krishnamurthy, Chandra Kiran B. & Crépin, Anne-Sophie, 2023. "Time-consistent renewable resource management with present bias and regime shifts," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 479-495.
  87. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
  88. Can Askan Mavi, 2019. "Can harmful events be another source of environmental traps?," Working Papers halshs-02141789, HAL.
  89. 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.
  90. W. Davis Dechert & Sharon I. O'Donnell & William A. Brock, 2006. "Learning Parameters in Non Linear Ecological Models," Computing in Economics and Finance 2006 258, Society for Computational Economics.
  91. Telalagic, S., 2012. "Optimal Treatment of an SIS Disease with Two Strains," Cambridge Working Papers in Economics 1229, Faculty of Economics, University of Cambridge.
  92. Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
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