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

Listed author(s):
  • 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
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. 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.
  2. 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.
  3. Gali, Jordi, 1995. "Product diversity, endogenous markups, and development traps," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 39-63, August.
  4. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & GÉRARD-VARET, L.-A., "undated". "On the Dixit-Stiglitz model of monopolistic competition," CORE Discussion Papers RP 1211, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Marvin Goodfriend & Robert G. King, 1998. "The new neoclassical synthesis and the role of monetary policy," Working Paper 98-05, Federal Reserve Bank of Richmond.
  6. D'ASPREMONT, Claude & DOS SANTOS, R. & GÉRARD-VARET, Louis-André, 1992. "General equilibrium concepts under imperfect competition: a Cournotion approach," CORE Discussion Papers 1992057, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. 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.
  9. repec:adr:anecst:y:1995:i:37-38:p:10 is not listed on IDEAS
  10. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
  11. Luís F. Costa, 2001. "Endogenous Markups and Fiscal Policy," Working Papers Department of Economics 2001/06, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  12. 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.
  13. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
  14. Satyajit Chatterjee & Russell Cooper & B. Ravikumar, 1993. "Strategic Complementarity in Business Formation: Aggregate Fluctuations and Sunspot Equilibria," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 795-811.
  15. Nir Jaimovich, 2007. "Firm Dynamics and Markup Variations: Implications for Sunspot Equilibria and Endogenous Economic Fluctuation," Discussion Papers 07-011, Stanford Institute for Economic Policy Research.
  16. Kiminori Matsuyama, 2004. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," Econometrica, Econometric Society, vol. 72(3), pages 853-884, 05.
  17. 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.
  18. 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.
  19. Sergio T. Rebelo, 1990. "Long Run Policy Analysis and Long Run Growth," NBER Working Papers 3325, National Bureau of Economic Research, Inc.
  20. 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.
  21. Rodolphe Dos Santos Ferreira & Frederic Dufourt, 2006. "Free entry and business cycles under the influence of animal spirits," Post-Print halshs-00789030, HAL.
  22. Jordi Galí, 1993. "Monopolistic competition, business cycles and the composition of aggregate demand," Economics Working Papers 45, Department of Economics and Business, Universitat Pompeu Fabra.
  23. 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.
  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. Kaas, Leo & Madden, Paul, 2000. "Imperfectly Competitive Cycles with Keynesian and Walrasian Features," Economics Series 83, Institute for Advanced Studies.
  26. Judith A. Chevalier & David S. Scharfstein, 1994. "Capital Market Imperfections and Countercyclical Markups: Theory and Evidence," NBER Working Papers 4614, National Bureau of Economic Research, Inc.
  27. Paul Romer, 1989. "Endogenous Technological Change," NBER Working Papers 3210, National Bureau of Economic Research, Inc.
  28. Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
  29. d’ASPREMONT, Cl. & DOS SANTOS FERREIRA, R. & GERARD-VARET, L.-A., 1988. "Unemployment in a Cournot oligopoly model with Ford effects," CORE Discussion Papers 1988018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  30. Morten Ravn & Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Deep Habits," NBER Working Papers 10261, National Bureau of Economic Research, Inc.
  31. 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.
  32. 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 418-439, September.
  33. d'ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe & GERARD-VARET, Louis-André, "undated". "Pricing schemes and Cournotian equilibria," CORE Discussion Papers RP 943, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  34. Paulo Brito & Huw Dixon, 2009. "Entry and the accumulation of capital: A two state variable extension to the Ramsey model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 333-357.
  35. 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.
  36. F Zilibotti, 1993. "Endogenous Growth and Intermediation in an Archipelago Economy," CEP Discussion Papers dp0167, Centre for Economic Performance, LSE.
  37. 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.
  38. Luís Costa, 2006. "Entry and fiscal policy effectiveness in a small open economy within a Monetary Union," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 5(1), pages 45-65, May.
  39. Mark Bils & Peter J. Klenow, 2001. "The Acceleration of Variety Growth," American Economic Review, American Economic Association, vol. 91(2), pages 274-280, May.
  40. 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.
  41. 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.
  42. Julio J. Rotemberg & Michael Woodford, 1989. "Oligopolistic Pricing and the Effects of Aggregate Demand on Economic Activity," NBER Working Papers 3206, National Bureau of Economic Research, Inc.
  43. Dixit, Avinash K & Stiglitz, Joseph E, 1979. "Monopolistic Competition and Optimum Product Diversity: Reply," American Economic Review, American Economic Association, vol. 69(5), pages 961-963, December.
  44. Rotemberg, Julio J. & Woodford, Michael, 1999. "The cyclical behavior of prices and costs," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 16, pages 1051-1135 Elsevier.
  45. Joaquim Oliveira Martins & Stefano Scarpetta, 2003. "Estimation of the Cyclical Behaviour of Mark-ups: A Technical Note," OECD Economic Studies, OECD Publishing, vol. 2002(1), pages 173-188.
  46. Jordi Galí, 1993. "Monopolistic competition, endogenous markups and growth," Economics Working Papers 44, Department of Economics and Business, Universitat Pompeu Fabra.
  47. 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).
  48. repec:adr:anecst:y:1995:i:37-38:p:17 is not listed on IDEAS
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