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Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control

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  • Brock, William
  • Xepapadeas, Anastasios

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  • Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September.
  • Handle: RePEc:eee:dyncon:v:32:y:2008:i:9:p:2745-2787
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    References listed on IDEAS

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    1. 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.
    2. Carpenter,S.A. & Brock,W.A., 2003. "Spatial complexity, resilience and policy diversity : fishing on lake-rich landscapes," Working papers 13, Wisconsin Madison - Social Systems.
    3. Brock, William A. & Scheinkman, JoseA., 1976. "Global asymptotic stability of optimal control systems with applications to the theory of economic growth," Journal of Economic Theory, Elsevier, vol. 12(1), pages 164-190, February.
    4. Cass, David & Shell, Karl, 1976. "The structure and stability of competitive dynamical systems," Journal of Economic Theory, Elsevier, vol. 12(1), pages 31-70, February.
    5. Sanchirico, James N. & Wilen, James E., 2005. "Optimal spatial management of renewable resources: matching policy scope to ecosystem scale," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 23-46, July.
    6. M. Kurz, 1971. "The General Instability of a Class of Competitive Growth Processes," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 17, pages 218-237, Palgrave Macmillan.
    7. Magill, Michael J. P., 1977. "A local analysis of N-sector capital accumulation under uncertainty," Journal of Economic Theory, Elsevier, vol. 15(1), pages 211-219, June.
    8. Smith, Vernon L, 1969. "On Models of Commercial Fishing," Journal of Political Economy, University of Chicago Press, vol. 77(2), pages 181-198, March/Apr.
    9. Burmeister, Edwin & Turnovsky, Stephen J, 1972. "Capital Deepening Response in an Economy with Heterogeneous Capital Goods," American Economic Review, American Economic Association, vol. 62(5), pages 842-853, December.
    10. W.A. Brock & D. Starrett, 2003. "Managing Systems with Non-convex Positive Feedback," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 575-602, December.
    11. Paulo B. Brito, 2022. "The dynamics of growth and distribution in a spatially heterogeneous world," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 311-350, September.
    12. Magill, Michael J. P., 1977. "Some new results on the local stability of the process of capital accumulation," Journal of Economic Theory, Elsevier, vol. 15(1), pages 174-210, June.
    13. Feinstein, C. D. & Oren, S. S., 1983. "Local stability properties of the modified Hamiltonian dynamic system," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 387-397, September.
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