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Non-Smooth Dynamics and Multiple Equilibria in a Cournt-Ramsey Model with Endogenous Markups

  • Paulo Brito
  • Luís Costa
  • Huw Dixon

We consider a Ramsey model with a continuum of Cournotian industries where free entry generates an endogenous markup. The model produces two different regimes, monopoly and oligopoly, resulting in non-smooth dynamics. We analyze the global dynamics of the model, demonstrating the model may exhibit heteroclinic orbits connecting multiple equilibria. Small transitory changes in parameters can lead to large permanent effects and there can be a Rostovian poverty trap separating a low-capital and high-markup equilibrium from a high-capital low-markup equilibrium. The paper applies recent results from applied mathematics for non-smooth dynamic systems.

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File URL: http://pascal.iseg.utl.pt/~depeco/wp/wp142010.pdf
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Paper provided by ISEG - School of Economics and Management, Department of Economics, University of Lisbon in its series Working Papers Department of Economics with number 2010/14.

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Date of creation: Sep 2010
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Handle: RePEc:ise:isegwp:wp142010
Contact details of provider: Postal: Department of Economics, ISEG - School of Economics and Management, University of Lisbon, Rua do Quelhas 6, 1200-781 LISBON, PORTUGAL
Web page: https://aquila1.iseg.ulisboa.pt/aquila/departamentos/EC

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  1. Mark Bils & Peter J. Klenow, 2001. "The Acceleration of Variety Growth," American Economic Review, American Economic Association, vol. 91(2), pages 274-280, May.
  2. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
  3. Joaquim Oliveira Martins & Stefano Scarpetta, 2002. "Estimation of the Cyclical Behaviour of Mark-ups: A Technical Note," OECD Economic Studies, OECD Publishing, vol. 2002(1), pages 173-188.
  4. Gali, J., 1991. "Monopolistic Competition, Business Cycles and the Composition of Aggregate Demand," Papers 92-03, Columbia - Graduate School of Business.
  5. Rotemberg, Julio J & Woodford, Michael, 1992. "Oligopolistic Pricing and the Effects of Aggregate Demand on Economic Activity," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1153-1207, December.
  6. Luís F. Costa, 2004. "Endogenous Markups and Fiscal Policy," Manchester School, University of Manchester, vol. 72(s1), pages 55-71, 09.
  7. Julio J. Rotemberg & Michael Woodford, 1999. "The Cyclical Behavior of Prices and Costs," NBER Working Papers 6909, National Bureau of Economic Research, Inc.
  8. Brito, Paulo & Costa, Luís F. & Dixon, Huw David, 2008. "Non-smooth Dynamics and Multiple Equilibria in a Cournot-Ramsey Model with Endogenous Markups," Cardiff Economics Working Papers E2008/21, Cardiff University, Cardiff Business School, Economics Section, revised Jul 2010.
  9. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & ÉRARD-VARET, L.-A., . "General equilibrium concepts under imperfect competition: a Cournotian approach," CORE Discussion Papers RP -1259, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Kiminori Matsuyama, 2002. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," CIRJE F-Series CIRJE-F-186, CIRJE, Faculty of Economics, University of Tokyo.
  11. Gali, Jordi, 1995. "Product Diversity, Endogenous Markups and Development Traps," Working Papers 95-09, C.V. Starr Center for Applied Economics, New York University.
  12. Sergio T. Rebelo, 1990. "Long Run Policy Analysis and Long Run Growth," NBER Working Papers 3325, National Bureau of Economic Research, Inc.
  13. Claude d’ASPREMONT & Rodolphe DOS SANTOS FERREIRA & Louis-André GÉRARD-VARET, 1989. "Unemployment in a Cournot Oligopoly Model with Ford Effects," Discussion Papers (REL - Recherches Economiques de Louvain) 1989012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  14. Yang, Xiaokai & Heijdra, Ben J, 1993. "Monopolistic Competition and Optimum Product Diversity: Comment," American Economic Review, American Economic Association, vol. 83(1), pages 295-301, March.
  15. Ravn, Morten O & Schmitt-Grohé, Stephanie & Uribe, Martín, 2004. "Deep Habits," CEPR Discussion Papers 4269, C.E.P.R. Discussion Papers.
  16. Galí, Jordi & Zilibotti, Fabrizio, 1994. "Endogenous Growth and Poverty Traps in a Cournotian Model," CEPR Discussion Papers 1052, C.E.P.R. Discussion Papers.
  17. Paul Romer, 1989. "Endogenous Technological Change," NBER Working Papers 3210, National Bureau of Economic Research, Inc.
  18. L Kaas & P Madden, 2002. "Imperfectly Competitive Cycles with Keynesian and Walrasian Features," Centre for Growth and Business Cycle Research Discussion Paper Series 20, Economics, The Univeristy of Manchester.
  19. Florin Bilbiie & Fabio Ghironi & Marc J. Melitz, 2007. "Endogenous Entry, Product Variety, and Business Cycles," NBER Working Papers 13646, National Bureau of Economic Research, Inc.
  20. Benhabib, Jess & Gali, Jordi, 1995. "On Growth and Indeterminacy: Some Theory and Evidence," Working Papers 95-08, C.V. Starr Center for Applied Economics, New York University.
  21. d'Aspremont, C & Ferreira, R Dos Santos & Gerard-Varet, L-A, 1991. "Pricing Schemes and Cournotian Equilibria," American Economic Review, American Economic Association, vol. 81(3), pages 666-73, June.
  22. Peretto, Pietro F., 2007. "Corporate taxes, growth and welfare in a Schumpeterian economy," Journal of Economic Theory, Elsevier, vol. 137(1), pages 353-382, November.
  23. Jordi Galí, 1993. "Monopolistic competition, endogenous markups and growth," Economics Working Papers 44, Department of Economics and Business, Universitat Pompeu Fabra.
  24. Nir Jaimovich, 2004. "Firm Dynamics, Markup Variations, and the Business Cycle," Discussion Papers 07-013, Stanford Institute for Economic Policy Research, revised Mar 2007.
  25. Jaimovich, Nir, 2007. "Firm dynamics and markup variations: Implications for sunspot equilibria and endogenous economic fluctuations," Journal of Economic Theory, Elsevier, vol. 137(1), pages 300-325, November.
  26. Marvin Goodfriend & Robert King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296 National Bureau of Economic Research, Inc.
  27. Chatterjee, Satyajit & Cooper, Russell & Ravikumar, B, 1993. "Strategic Complementarity in Business Formation: Aggregate Fluctuations and Sunspot Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 795-811, October.
  28. Wu, Yangru & Zhang, Junxi, 2000. "Endogenous markups and the effects of income taxation:: Theory and evidence from OECD countries," Journal of Public Economics, Elsevier, vol. 77(3), pages 383-406, September.
  29. Brito, Paulo & Dixon, Huw David, 2007. "Entry and the accumulation of capital: a two state-variable extension to the Ramsey model," Cardiff Economics Working Papers E2007/16, Cardiff University, Cardiff Business School, Economics Section, revised Oct 2007.
  30. Costa, Luis F, 2001. "Can Fiscal Policy Improve Welfare in a Small Dependent Economy with Feedback Effects," Manchester School, University of Manchester, vol. 69(4), pages 418-39, September.
  31. Zilibotti, Fabrizio, 1994. "Endogenous Growth and Intermediation in an 'Archipelago' Economy," Economic Journal, Royal Economic Society, vol. 104(423), pages 462-73, March.
  32. 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.
  33. Costa, Luís F. & Dixon, Huw David, 2007. "A Simple Business-Cycle Model with Shumpeterian Features," Cardiff Economics Working Papers E2007/28, Cardiff University, Cardiff Business School, Economics Section.
  34. Rodolphe Dos Santos Ferreira & Frederic Dufourt, 2006. "Free entry and business cycles under the influence of animal spirits," Post-Print halshs-00789030, HAL.
  35. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
  36. Chevalier, Judith A & Scharfstein, David S, 1996. "Capital-Market Imperfections and Countercyclical Markups: Theory and Evidence," American Economic Review, American Economic Association, vol. 86(4), pages 703-25, September.
  37. Santos, Manuel S., 2002. "On Non-existence of Markov Equilibria in Competitive-Market Economies," Journal of Economic Theory, Elsevier, vol. 105(1), pages 73-98, July.
  38. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  39. Dos Santos Ferreira, Rodolphe & Lloyd-Braga, Teresa, 2005. "Non-linear endogenous fluctuations with free entry and variable markups," Journal of Economic Dynamics and Control, Elsevier, vol. 29(5), pages 847-871, May.
  40. d ASPREMONT, Claude, & DOS SANTOS FERREIRA , Rodolphe & GERARD-VARET , Louis-André, 1994. "Market Power, Coordination Failures and Endogenous Fluctuations," CORE Discussion Papers 1994068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  41. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  42. Luís Costa, 2006. "Entry and fiscal policy effectiveness in a small open economy within a Monetary Union," Portuguese Economic Journal, Springer, vol. 5(1), pages 45-65, May.
  43. Ravn, Morten O. & Schmitt-Grohé, Stephanie & Uribe, Martín, 2008. "Macroeconomics Of Subsistence Points," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S1), pages 136-147, April.
  44. Dixit, Avinash K & Stiglitz, Joseph E, 1979. "Monopolistic Competition and Optimum Product Diversity: Reply," American Economic Review, American Economic Association, vol. 69(5), pages 961-63, December.
  45. Tramontana, Fabio & Gardini, Laura & Agliari, Anna, 2011. "Endogenous cycles in discontinuous growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1625-1639.
  46. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & GÉRARD-VARET, L.-A., . "On the Dixit-Stiglitz model of monopolistic competition," CORE Discussion Papers RP -1211, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  47. Dos Santos Ferreira, Rodolphe & Dufourt, Frederic, 2006. "Free entry and business cycles under the influence of animal spirits," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 311-328, March.
  48. Joaquim Oliveira Martins & Stefano Scarpetta & Dirk Pilat, 1996. "Mark-Up Ratios in Manufacturing Industries: Estimates for 14 OECD Countries," OECD Economics Department Working Papers 162, OECD Publishing.
  49. repec:cup:cbooks:9780521479479 is not listed on IDEAS
  50. Franck PORTIER, 1995. "Business Formation and Cyclical Markups in the French Business Cycle," Annales d'Economie et de Statistique, ENSAE, issue 37-38, pages 411-440.
  51. Florin Bilbiie & Fabio Ghironi & Marc Melitz, 2012. "Endogenous Entry, Product Variety and Business Cycles," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00680634, HAL.
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