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General Pattern Formation in Recursive Dynamical Systems Models in Economics

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Author Info

  • Anastasios Xepapadeas

    (Athens University of Economics and Business and Beijer Fellow)

  • William Brock

    (University of Wisconsin and Beijer Fellow)

Abstract

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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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.49.

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Date of creation: Jun 2009
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Handle: RePEc:fem:femwpa:2009.49

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Related research

Keywords: Pattern Formation; Spatial Spillovers; Optimal Control; Spillover Induced Instability; Growth Models;

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References

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  1. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  2. Quah, Danny, 2002. "Spatial Agglomeration Dynamics," CEPR Discussion Papers 3208, C.E.P.R. Discussion Papers.
  3. 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.
  4. 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.
  5. Yannis Ioannides & Henry G. Overman, 2000. "Spatial evolution of the US urban system," LSE Research Online Documents on Economics 20138, London School of Economics and Political Science, LSE Library.
  6. Klaus Desmet & Esteban Rossi-Hansberg, 2007. "Spatial Growth and Industry Age," NBER Working Papers 13302, National Bureau of Economic Research, Inc.
  7. Gianmarco Ottaviano, 1996. "Monopolistic Competition, Trade and Endogenous Spatial Fluctuations," Working Papers 240, Dipartimento Scienze Economiche, Universita' di Bologna.
  8. Grossman, G.M. & Helpman, E., 1989. "Quality Ladders And Product Cycles," Papers 152, Princeton, Woodrow Wilson School - Public and International Affairs.
  9. Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," UWO Department of Economics Working Papers 8904, University of Western Ontario, Department of Economics.
  10. Paul M Romer, 1999. "Endogenous Technological Change," Levine's Working Paper Archive 2135, David K. Levine.
  11. 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.
  12. 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.
  13. Raouf Boucekkine & Carmen Camacho & Benteng Zou, 2006. "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," DEGIT Conference Papers c011_039, DEGIT, Dynamics, Economic Growth, and International Trade.
  14. 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.
  15. 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.
  16. 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.
  17. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  18. McKenzie, Lionel W., 1979. "Optimal Economic Growth and Turnpike Theorems," Working Papers 267, California Institute of Technology, Division of the Humanities and Social Sciences.
  19. Baldwin, Richard E., 2001. "Core-periphery model with forward-looking expectations," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 21-49, February.
  20. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
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Citations

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Cited by:
  1. Raouf Boucekkine & Carmen Camacho & Giorgio Fabbri, 2013. "Spatial dynamics and convergence: The spatial AK model," Documents de recherche 13-09, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  2. Holger Breinlich & Gianmarco I. P. Ottaviano & Jonathan R. W. Temple, 2013. "Regional Growth and Regional Decline," CEP Discussion Papers dp1232, Centre for Economic Performance, LSE.
  3. Carmen Camacho & Agustín Pérez-Barahona, 2012. "Land use dynamics and the environment," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00674020, HAL.
  4. repec:hal:journl:halshs-00674020 is not listed on IDEAS

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