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General Pattern Formation in Recursive Dynamical Systems Models in Economics

  • Brock, William
  • Xepapadeas, Anastasios

This paper presents a fairly general treatment of recursive infinite horizon forward looking optimizing systems on infinite dimensional spatial domains. It includes optimal control, an analysis of local stability of spatially flat optimal steady states and development of techniques to compute spatially heterogeneous optimal steady states. The paper also develops a concept of rational expectations equilibrium, a local stability analysis for spatially homogeneous rational expectations steady states, and computational techniques for spatially heterogeneous rational expectations steady states.

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File URL: http://mpra.ub.uni-muenchen.de/12305/1/MPRA_paper_12305.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 12305.

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Date of creation: 20 Dec 2008
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Handle: RePEc:pra:mprapa:12305
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  1. McKenzie, Lionel W., 1979. "Optimal Economic Growth and Turnpike Theorems," Working Papers 267, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Desmet, Klaus & Rossi-Hansberg, Esteban, 2007. "Spatial Growth and Industry Age," CEPR Discussion Papers 6421, C.E.P.R. Discussion Papers.
  3. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
  4. Quah, Danny, 2002. "Spatial Agglomeration Dynamics," CEPR Discussion Papers 3208, C.E.P.R. Discussion Papers.
  5. Raouf, BOUCEKKINE & Carmen, CAMACHO & Benteng, ZOU, 2006. "Bridging the Gap between Growth Theory and the New Economic Geography : The Spatial Ramsey Model," Discussion Papers (ECON - Département des Sciences Economiques) 2006038, Université catholique de Louvain, Département des Sciences Economiques.
  6. Y Ioannides & Henry Overman, 2000. "Spatial Evolution of the US Urban System," CEP Discussion Papers dp0482, Centre for Economic Performance, LSE.
  7. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  8. Baldwin, Richard E. & Martin, Philippe, 2004. "Agglomeration and regional growth," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 60, pages 2671-2711 Elsevier.
  9. Gianmarco Ottaviano, 1996. "Monopolistic Competition, Trade and Endogenous Spatial Fluctuations," Working Papers 240, Dipartimento Scienze Economiche, Universita' di Bologna.
  10. Baldwin, Richard E., 2001. "Core-periphery model with forward-looking expectations," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 21-49, February.
  11. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-51, March.
  12. Grossman, Gene M & Helpman, Elhanan, 1991. "Quality Ladders and Product Cycles," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 557-86, May.
  13. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  14. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S71-102, October.
  15. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-84, August.
  16. Brock, William & Xepapadeas, Anastasios, 2010. "Pattern formation, spatial externalities and regulation in coupled economic-ecological systems," Journal of Environmental Economics and Management, Elsevier, vol. 59(2), pages 149-164, March.
  17. Chincarini, Ludwig & Asherie, Neer, 2008. "An analytical model for the formation of economic clusters," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 252-270, May.
  18. Ron Martin & Peter Sunley, 2003. "Deconstructing clusters: chaotic concept or policy panacea?," Journal of Economic Geography, Oxford University Press, vol. 3(1), pages 5-35, January.
  19. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
  20. Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
  21. Robert E. Lucas, Jr., 2001. "Externalities and Cities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 245-274, April.
  22. 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.
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