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Indeterminacy and endogenous fluctuations in two-sector growth models with externalities

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  • Venditti, Alain

Abstract

This paper discusses the influence of technological externalities on the dynamic properties of accumulation paths in a two-sector growth model in discrete time.
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  • Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
  • Handle: RePEc:eee:jeborg:v:33:y:1998:i:3-4:p:521-542
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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
    3. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
    4. Chiappori, Pierre Andre & Guesnerie, Roger, 1991. "Sunspot equilibria in sequential markets models," Handbook of Mathematical Economics,in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 32, pages 1683-1762 Elsevier.
    5. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    6. Boldrin, Michele & Deneckere, Raymond J., 1990. "Sources of complex dynamics in two-sector growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 627-653, October.
    7. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    8. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics,in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144 Elsevier.
    9. Levhari, David & Liviatan, Nissan, 1972. "On stability in the saddle-point sense," Journal of Economic Theory, Elsevier, vol. 4(1), pages 88-93, February.
    10. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-342, March.
    11. Sorger, Gerhard, 1992. "On the minimum rate of impatience for complicated optimal growth paths," Journal of Economic Theory, Elsevier, vol. 56(1), pages 160-179, February.
    12. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    13. Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October.
    14. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    15. Chiappori, Pierre Andre & Guesnerie, Roger, 1988. "Endogenous fluctuations under rational expectations," European Economic Review, Elsevier, vol. 32(2-3), pages 389-397, March.
    16. W. R. S. Sutherland, 1970. "On Optimal Development in a Multi-Sectoral Economy: the Discounted Case," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 585-589.
    17. Venditti, Alain, 1996. "Hopf bifurcation and quasi-periodic dynamics in discrete multisector optimal growth models," Ricerche Economiche, Elsevier, vol. 50(3), pages 267-291, September.
    18. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
    19. Michele Boldrin & Nicola Perisco, 1993. "A Chaotic Map Arising in the Theory of Endogenous Growth," Discussion Papers 1071, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    21. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June.
    22. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Citations

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    Cited by:

    1. Bosi, Stefano & Magris, Francesco, 2003. "Indeterminacy and endogenous fluctuations with arbitrarily small liquidity constraint," Research in Economics, Elsevier, vol. 57(1), pages 39-51, March.
    2. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
    3. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 633-664, November.
    4. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
    5. Tarek Coury & Yi Wen, 2007. "Global indeterminacy in locally determinate RBC models," Working Papers 2007-029, Federal Reserve Bank of St. Louis.
    6. Drugeon, Jean-Pierre & Venditti, Alain, 2001. "Intersectoral external effects, multiplicities & indeterminacies," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 765-787, May.
    7. Garcia-Belenguer, Fernando, 2007. "Stability, global dynamics and Markov equilibrium in models of endogenous economic growth," Journal of Economic Theory, Elsevier, vol. 136(1), pages 392-416, September.
    8. Been-Lon Chen & Mei Hsu & Yu-Shan Hsu, 2010. "A One-Sector Growth Model With Consumption Standard: Indeterminate Or Determinate?," The Japanese Economic Review, Japanese Economic Association, vol. 61(1), pages 85-96.
    9. García-Belenguer, Fernando, 2006. "Stability, Global Dynamics and Markov Equilibrium in Models of Economic Growth," Working Papers in Economic Theory 2006/05, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    10. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, January.

    More about this item

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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