Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/cdf/wpaper/2008-21.html
   My bibliography  Save this paper

Non-smooth Dynamics and Multiple Equilibria in a Cournot-Ramsey Model with Endogenous Markups

Author

Listed:
Abstract
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. We study the non-smooth dynamics and analyze the global dynamics of the model, demonstrating the model exhibits robust heteroclinic orbits, either of the smooth or the non-smooth type. Similar economies may be in any of these regimes and they may change regime along its convergence path. Productivity, fixed costs and elasticities of demand, play a crucial role and changing their values may induce a discontinuous transition or hysteresis.

Suggested Citation

  • Brito, Paulo & Costa, Lu s 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.
    • Handle: RePEc:cdf:wpaper:2008/21
    as

    Download full text from publisher

    File URL: http://carbsecon.com/wp/E2008_21.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Gali Jordi, 1994. "Monopolistic Competition, Business Cycles, and the Composition of Aggregate Demand," Journal of Economic Theory, Elsevier, vol. 63(1), pages 73-96, June.
    4. 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.
    5. 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.
    6. Luis F Costa & Huw D Dixon, "undated". "A Simple Business-Cycle Model with Schumpeterian Features," Discussion Papers 05/30, Department of Economics, University of York.
    7. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe & Gerard-Varet, Louis-Andre, 1997. "General Equilibrium Concepts under Imperfect Competition: A Cournotian Approach," Journal of Economic Theory, Elsevier, vol. 73(1), pages 199-230, March.
    8. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    9. Florin O. Bilbiie & Fabio Ghironi & Marc J. Melitz, 2012. "Endogenous Entry, Product Variety, and Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 304-345.
    10. Gali, Jordi, 1995. "Product diversity, endogenous markups, and development traps," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 39-63, August.
    11. 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.
    12. Mark Bils & Peter J. Klenow, 2001. "The Acceleration of Variety Growth," American Economic Review, American Economic Association, vol. 91(2), pages 274-280, May.
    13. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe & Gerard-Varet, Louis-Andre, 1996. "On the Dixit-Stiglitz Model of Monopolistic Competition," American Economic Review, American Economic Association, vol. 86(3), pages 623-629, June.
    14. Marvin Goodfriend & Robert G. 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.
    15. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, October.
    16. d’ASPREMONT, Cl. & DOS SANTOS FERREIRA, R. & GERARD-VARET, L.-A., 1988. "Unemployment in a Cournot oligopoly model with Ford effects," LIDAM Discussion Papers CORE 1988018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Kaas, Leo & Madden, Paul, 2005. "Imperfectly competitive cycles with Keynesian and Walrasian features," European Economic Review, Elsevier, vol. 49(4), pages 861-886, May.
    18. 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.
    19. repec:adr:anecst:y:1995:i:37-38:p:10 is not listed on IDEAS
    20. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    21. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    22. Luís F. Costa, 2004. "Endogenous Markups and Fiscal Policy," Manchester School, University of Manchester, vol. 72(s1), pages 55-71, September.
    23. 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.
    24. Morten Ravn & Stephanie Schmitt-Grohé & Martín Uribe, 2006. "Deep Habits," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 195-218.
    25. 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.
    26. 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.
    27. 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, December.
    28. Satyajit Chatterjee & Russell Cooper & B. Ravikumar, 1993. "Strategic Complementarity in Business Formation: Aggregate Fluctuations and Sunspot Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 795-811.
    29. 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.
    30. 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.
    31. Kiminori Matsuyama, 2004. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," Econometrica, Econometric Society, vol. 72(3), pages 853-884, May.
    32. 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 666-673, June.
    33. 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.
    34. 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.
    35. Luís Costa, 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.
    36. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    37. 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.
    38. Benhabib, Jess & Gali, Jordi, 1995. "On growth and indeterminacy: some theory and evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 163-211, December.
    39. Jaimovich, Nir & Floetotto, Max, 2008. "Firm dynamics, markup variations, and the business cycle," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1238-1252, October.
    40. Julio J. Rotemberg & Michael Woodford, 1991. "Markups and the Business Cycle," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 63-140, National Bureau of Economic Research, Inc.
    41. 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 703-725, September.
    42. 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.
    43. Dixit, Avinash K & Stiglitz, Joseph E, 1993. "Monopolistic Competition and Optimum Product Diversity: Reply," American Economic Review, American Economic Association, vol. 83(1), pages 302-304, March.
    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. 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.
    46. repec:bla:manchs:v:69:y:2001:i:4:p:418-39 is not listed on IDEAS
    47. 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.
    48. Dixon,Huw David & Rankin,Neil, 1995. "The New Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521479479, October.
    49. Gali, Jordi, 1994. "Monopolistic competition, endogenous markups, and growth," European Economic Review, Elsevier, vol. 38(3-4), pages 748-756, April.
    50. Zilibotti, Fabrizio, 1994. "Endogenous Growth and Intermediation in an 'Archipelago' Economy," Economic Journal, Royal Economic Society, vol. 104(423), pages 462-473, March.
    51. 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.
    52. Franck Portier, 1995. "Business Formation and Cyclical Markups in the French Business Cycle," Annals of Economics and Statistics, GENES, issue 37-38, pages 411-440.
    53. d ASPREMONT, Claude, & DOS SANTOS FERREIRA , Rodolphe & GERARD-VARET , Louis-André, 1994. "Market Power, Coordination Failures and Endogenous Fluctuations," LIDAM Discussion Papers CORE 1994068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    54. repec:adr:anecst:y:1995:i:37-38:p:17 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Savagar, Anthony, 2021. "Measured productivity with endogenous markups and economic profits," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    2. Anton Bondarev, 2021. "Games Without Winners: Catching-up with Asymmetric Spillovers," Dynamic Games and Applications, Springer, vol. 11(4), pages 670-703, December.
    3. 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.
    4. d’Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2020. "Exploiting separability in a multisectoral model of oligopolistic competition," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 51-59.
    5. Francesco Carli & Leonor Modesto, 2022. "Sovereign debt, fiscal policy, and macroeconomic instability," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1386-1412, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ant Afonso & Lu . Costa, 2013. "Market power and fiscal policy in OECD countries," Applied Economics, Taylor & Francis Journals, vol. 45(32), pages 4545-4555, November.
    2. 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.
    3. Luis F Costa & Huw D Dixon, "undated". "A Simple Business-Cycle Model with Schumpeterian Features," Discussion Papers 05/30, Department of Economics, University of York.
    4. Wang, Pengfei & Wen, Yi, 2008. "Imperfect competition and indeterminacy of aggregate output," Journal of Economic Theory, Elsevier, vol. 143(1), pages 519-540, November.
    5. Florin O. Bilbiie & Fabio Ghironi & Marc J. Melitz, 2012. "Endogenous Entry, Product Variety, and Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 304-345.
    6. Luís F. Costa & Huw Dixon, 2009. "Fiscal Policy under Imperfect Competition: A Survey," Working Papers Department of Economics 2009/25, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    7. Opp, Marcus M. & Parlour, Christine A. & Walden, Johan, 2014. "Markup cycles, dynamic misallocation, and amplification," Journal of Economic Theory, Elsevier, vol. 154(C), pages 126-161.
    8. Paulo Brito & Luis Costa & Huw Dixon, 2007. "Business Cycles with Endogenous Mark-ups," Money Macro and Finance (MMF) Research Group Conference 2006 108, Money Macro and Finance Research Group.
    9. Luís F. Costa, 2004. "Endogenous Markups and Fiscal Policy," Manchester School, University of Manchester, vol. 72(s1), pages 55-71, September.
    10. Savagar, Anthony, 2021. "Measured productivity with endogenous markups and economic profits," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    11. Jaimovich, Nir & Floetotto, Max, 2008. "Firm dynamics, markup variations, and the business cycle," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1238-1252, October.
    12. Carlos D Santos & Luís F Costa & Paulo B Brito, 2022. "Demand, Supply and Markup Fluctuations," The Economic Journal, Royal Economic Society, vol. 132(644), pages 1620-1645.
    13. Sungki Hong, 2017. "Customer Capital, Markup Cyclicality, and Amplification," Working Papers 2017-33, Federal Reserve Bank of St. Louis.
    14. Fagnart, Jean-Francois & Licandro, Omar & Sneessens, Henri R., 1997. "Capacity utilization and market power," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 123-140, November.
    15. Savagar, Anthony & Dixon, Huw, 2020. "Firm entry, excess capacity and endogenous productivity," European Economic Review, Elsevier, vol. 121(C).
    16. Dos Santos Ferreira, Rodolphe & Lloyd-Braga, Teresa, 2008. "Business cycles with free entry ruled by animal spirits," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3502-3519, November.
    17. Roma, Moreno & Vetlov, Igor & Maurin, Laurent, 2011. "Profit dynamics across the largest euro area countries and sectors," Working Paper Series 1410, European Central Bank.
    18. António Afonso & João Tovar Jalles, 2015. "Fiscal Episodes, Technological Progress and Market Power," Working Papers Department of Economics 2015/09, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    19. Etro, Federico, 2017. "Research in economics and macroeconomics," Research in Economics, Elsevier, vol. 71(3), pages 373-383.
    20. Pengfei Wang & Yi Wen, 2007. "Incomplete information and self-fulfilling prophecies," Working Papers 2007-033, Federal Reserve Bank of St. Louis.

    More about this item

    Keywords

    endogenous mark-ups; non-smooth dynamics; discontinuous induced bifurcations; heteroclinic orbits;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cdf:wpaper:2008/21. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Yongdeng Xu (email available below). General contact details of provider: https://edirc.repec.org/data/ecscfuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.