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Endogenous Cycles, Increasing Returns and Global Bifurcations in an Imperfectly Competitive Economy

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 399))

Abstract

The purpose of this paper is firstly to analyze the possibility and secondly to characterize the consequences of aggregate externalities of increasing returns to scale in a decentralized growth model specialized to incorporate aggregate externalities of stock which are intended to stylize in a convenient way natural limits on expansion on the economy.

Preliminary versions of the present contribution have been presented at the first Summer School f the European Economic Association held at Lisbon in September 1990 and at the IInd Workshop on Nonlinear Dynamics in Economics held at the Certosa di Pontignano in Sienna in May 1991. I would hke to thank for useful comments and suggestions A. d’Autume, A. Chenciner, P.Y. Ceoffard, J. Clachant, F. Portier, S. Rebelo, P. Reichlin, D. Verner, M. Woodford and one of the referees. lam particularly grateful to B. Wigniolle for a careful reading and f0 many improvements. The responsability for any errors is mine.

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References

  • Arnold, V.W. [1981a]. Equations différentielles ordinaires. Moscou: MIR.

    Google Scholar 

  • Arnold, V.W. [1981]. Chapitres supplémentaires de la théorie des équations différentielles ordinaires. Moscou: MIR.

    Google Scholar 

  • Azariadis, C. [1988]. «Threshold Externalities and Underdevelopment Traps», seminar R. ROY held at the Ecole Nationale des Ponts et Chaussées, Paris, May 16.

    Google Scholar 

  • Azariadis, C. & A. Drazen [1990]. «Threshold Externalities and Economic Development », Quarterly Journal of Economics 105: 501–526.

    Article  Google Scholar 

  • Benhabib, J. & T. Miyao [1981]. «some new results on the Dynamics of the Generalized Tobin Model », International Economic Review 22: 589-596.

    Article  Google Scholar 

  • Benhabib, J. & K. Nishimura [1979]. «The Hopf Bifurcation and the Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth», Journal of Economic Theory 21: 421–444.

    Google Scholar 

  • Benhabib, J. & A. Rustichni [1990]. «Equilibrium Cycling with Small Discounting», Journal of Economic Theory 52: 423-432.

    Article  Google Scholar 

  • Chenciner, A. [1984]. «Systèmes dynamiques dif érentiablеs ». In: Encyclopaedia Universalis. Paris: Le Livre de Paris.

    Google Scholar 

  • Chiappori, A. & R. Guesnerie [1989]. «Self-Fulfilling Theories: The Sunspot Connection», working paper #8919, D.E.L.T.A.

    Google Scholar 

  • Chow, S.N. & J.K. Hale [1982]. Methods of Bifurcation Theory. New York, New York, Heidelberg, Berlin: Springer-Verlag.

    Book  Google Scholar 

  • Corriveau, L. [1988]. «Entrepreneurs, Growth and Cycles », manuscript, Universitv of Western Ontario.

    Google Scholar 

  • Dixit, A. & J.E. Stiglitz [1977]. «Monopolistic Competition and Optimum Product Diversity», American Economic Review 67: 297–308.

    Google Scholar 

  • Drugeon, J.P. [1990]. «An Equilibrium Model with Endogenous Cycles arid Global Bifurcations in the Long Run», unpublished, University of Paris 1-Panthéon-Sorbonne.

    Google Scholar 

  • Drugeon, J.P. & B. Wigniolle [1991]. «A Model of Growth with Sеlł’ Fulfilling Prophecies», unpublished, University of Paris 1-Panthéon-Sorbonne.

    Google Scholar 

  • Golubitsky, M. & D.J. Schaeffer [1985]. Singularities and Groups in Bifurcation Theory, Volume 1. New York: Springer-Verlag.

    Google Scholar 

  • Guckenheimer, J. & P. Holmes [1986]. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Second Printing,Revised and Corrected. New York: Springer-Verlag.

    Google Scholar 

  • Hall, R.E. [1988] «Increasing Returns: Theory and Measurement with Industry Data», manuscript, Stanford University.

    Google Scholar 

  • Hammdur, M. [1988]. «Increasing Returns and Endogenous Business Cycles», manuscript, Massachussets Institute of Technology.

    Google Scholar 

  • Hammdur, M. [1990]. «social Increasing Returns to Scale in Macro Models with External Effects», manuscript, Columbia University.

    Google Scholar 

  • Hirsch, M.W. & S. Smale [1974]. Differential Equations, Dynamical Systems, and Linear Algebra. New York, London: Academic Press.

    Google Scholar 

  • Howitt, P. [1989]. «Determinate Outcomes with Multiple Equilibria», manuscript, University of Western Ontario.

    Google Scholar 

  • Howitt, P. & McAfee [1984]. «Stable Low Level Equilibrium», manuscript, University of Western Ontario.

    Google Scholar 

  • Howitt, P. & McAfee [1988]. «Stability of Equilibria with Externalities», Quarterly Journal of Economics 103: 261–163.

    Article  Google Scholar 

  • King, R.G. & S.T. Rebelo [1988]. «Business Cycles with Endogenous Growth», unpublished, University of Rochester.

    Google Scholar 

  • Kiyotaki, N. [1988]. «Multiple Expectational Equilibria under Monopolistic Competition», Quarterly Journal of Economics 103: 261–277.

    Article  Google Scholar 

  • Krugman, P. [1991]. «History versus Expectations», Quarterly Journal of Economics 106: 651–666.

    Article  Google Scholar 

  • Leijonhufvud, A. [1973]. «Effective Demand Failures», Swedish Journal of Economics 75: 27–48.

    Article  Google Scholar 

  • Liviathan, N. & P.A. Samuelson [1969]. «Notes on Turnpikes: Stable and Unstable», Journal of Economic Theory 1: 454–475.

    Article  Google Scholar 

  • Marsden, J.E. & M. McCracken [1976]. The Hopf Bifurcation and its Applications. New York-Berlin-Heidelberg-Tokyo: Springer-Verlag.

    Book  Google Scholar 

  • Marshall, A. [1920]. Principle of Economics. Londres: MacMillan Press.

    Google Scholar 

  • Matsuyama, K. [1991]. «Increasing Returns, Industrialization and Indeterminacy of Equilibrium». Quarterly Journal of Economics 106: 617–650.

    Article  Google Scholar 

  • Ramsey, F.P. [1928]. «A Mathematical Theory of Saving», The Economic Journal 38: 543-559.

    Article  Google Scholar 

  • Romer, P.M. [1986]. «Increasing Returns and Long-Run Growth», Journal of Political Economy 94: 1002–37.

    Article  Google Scholar 

  • Romer, P.M. [1989]. «Increasing Returns and the New Theories of Economic Growth», manuscript, University of Chicago.

    Google Scholar 

  • Skiba, A. [1978]. «Optimal Growth With a Convex-Concave Production Function», Econometrica 46: 527–540.

    Article  Google Scholar 

  • Weitzman, M.L. [1982]. «Increasing Returns and the Foundations of Unemployment Theory», The Economic Journal 92: 787–804.

    Article  Google Scholar 

  • Woodford, M. [1984]. «Оn Indeterminacy of Equilibrium in the Overlapping Generations Моdеl», manuscript, Columbia University.

    Google Scholar 

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Drugeon, J.P. (1993). Endogenous Cycles, Increasing Returns and Global Bifurcations in an Imperfectly Competitive Economy. In: Gori, F., Geronazzo, L., Galeotti, M. (eds) Nonlinear Dynamics in Economics and Social Sciences. Lecture Notes in Economics and Mathematical Systems, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58031-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-58031-4_9

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