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Growth Dynamics and Returns to Scale: Bifurcation Analysis

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  • Antinolfi, Gaetano
  • Keister, Todd
  • Shell, Karl

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  • Antinolfi, Gaetano & Keister, Todd & Shell, Karl, 2001. "Growth Dynamics and Returns to Scale: Bifurcation Analysis," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 70-96, January.
  • Handle: RePEc:eee:jetheo:v:96:y:2001:i:1-2:p:70-96
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    1. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-1126, September.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-342, March.
    4. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    5. Karl Shell, 2010. "Toward A Theory of Inventive Activity and Capital Accumulation," Levine's Working Paper Archive 1407, David K. Levine.
    6. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 43-61.
    7. Ellen R. McGrattan, 1998. "A defense of AK growth models," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 22(Fall), pages 13-27.
    8. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December.
    9. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 719-744, August.
    10. Jovanovic, Boyan & Nyarko, Yaw, 1995. "The transfer of human capital," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1033-1064.
    11. Bruce D. Smith & John H. Boyd, 1998. "Capital market imperfections in a monetary growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 241-273.
    12. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    13. Karl Shell, 2010. "Inventive Activity, Industrial Organization and Economic Growth," Levine's Working Paper Archive 1408, David K. Levine.
    14. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    15. Barnett William A. & He Yijun, 1999. "Stability Analysis of Continuous-Time Macroeconometric Systems," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-22, January.
    16. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    17. Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 501-526.
    18. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    19. Cartigny, Pierre & Venditti, Alain, 1994. "Turnpike theory : Some new results on the saddle point property of equilibria and on the existence of endogenous cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 957-974, September.
    20. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    21. Karl Shell, 2010. "A Model of Inventive Activity and Capital Accumulation," Levine's Working Paper Archive 1409, David K. Levine.
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    Cited by:

    1. Ennis, Huberto M. & Keister, Todd, 2003. "Economic growth, liquidity, and bank runs," Journal of Economic Theory, Elsevier, vol. 109(2), pages 220-245, April.
    2. Chen, Hung-Ju & Li, Ming-Chia, 2008. "Productive public expenditures, expectation formations and nonlinear dynamics," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 109-126, July.
    3. Fan-chin Kung, 2004. "Genericity analysis of split bifurcations," GE, Growth, Math methods 0410008, University Library of Munich, Germany, revised 24 Nov 2004.
    4. Benos, Evangelos & Garratt, Rodney & Gurrola-Perez, Pedro, 2017. "The economics of distributed ledger technology for securities settlement," Bank of England working papers 670, Bank of England.
    5. Mitra, Tapan & Nishimura, Kazuo, 2001. "Introduction to Intertemporal Equilibrium Theory: Indeterminacy, Bifurcations, and Stability," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 1-12, January.
    6. Dalgaard, Carl-Johan & Jensen, Martin Kaae, 2009. "Life-cycle savings, bequest, and a diminishing impact of scale on growth," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1639-1647, September.

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