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The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth

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Cited by:

  1. Maćkowiak, Piotr, 2009. "Adaptive Rolling Plans Are Good," MPRA Paper 42043, University Library of Munich, Germany.
  2. Takuma Kunieda & Kazuo Nishimura, 2021. "Pollution, Human Capital, and Growth Cycles," Creative Economy, in: Kazuo Nishimura & Masatoshi Murase & Kazuyoshi Yoshimura (ed.), Creative Complex Systems, chapter 0, pages 85-99, Springer.
  3. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
  4. Vasco M. Carvalho & Alireza Tahbaz-Salehi, 2019. "Production Networks: A Primer," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 635-663, August.
  5. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
  6. Gao, Yang & Gong, Gang, 2020. "Stabilizing and destabilizing mechanisms: A new perspective to understand business cycles," Economic Modelling, Elsevier, vol. 93(C), pages 51-68.
  7. Banerjee, Sanjibani & A. Barnett, William & A. Duzhak, Evgeniya & Gopalan, Ramu, 2011. "Bifurcation analysis of Zellner's Marshallian Macroeconomic Model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1577-1585, September.
  8. Kazuo Nishimura & Florian Pelgrin & Alain Venditti, 2022. "Medium term endogenous fluctuations in three-sector optimal growth models," Working Papers hal-03923999, HAL.
  9. Dohtani, Akitaka, 2010. "A growth-cycle model of Solow-Swan type, I," Journal of Economic Behavior & Organization, Elsevier, vol. 76(2), pages 428-444, November.
  10. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
  11. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Première partie : la croissance récente]," Revue de l'OFCE, Programme National Persée, vol. 36(1), pages 157-211.
  12. C-Rene DOMINIQUE & Luis Eduardo RIVERA-SOLIS, 2014. "On Market Economies: How Controllable Constructs Become Complex," Expert Journal of Economics, Sprint Investify, vol. 2(3), pages 100-108.
  13. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
  14. Golosov, Mikhail & Menzio, Guido, 2020. "Agency business cycles," Theoretical Economics, Econometric Society, vol. 15(1), January.
  15. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60, March.
  16. Barnett, William A. & Duzhak, Evgeniya Aleksandrovna, 2008. "Non-robust dynamic inferences from macroeconometric models: Bifurcation stratification of confidence regions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3817-3825.
  17. Franz Wirl, 1999. "De- and Reforestation: Stability, Instability and Limit Cycles," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 14(4), pages 463-479, December.
  18. Farmer, Roger E.A., 2016. "The Evolution Of Endogenous Business Cycles," Macroeconomic Dynamics, Cambridge University Press, vol. 20(2), pages 544-557, March.
  19. Krawiec, Adam & Szydłowski, Marek, 2017. "Economic growth cycles driven by investment delay," Economic Modelling, Elsevier, vol. 67(C), pages 175-183.
  20. Stéphane Hallegatte & Michael Ghil, 2007. "Endogenous Business Cycles and the Economic Response to Exogenous Shocks," Working Papers 2007.20, Fondazione Eni Enrico Mattei.
  21. K. Vela Velupillai, 2008. "JAPANESE CONTRIBUTIONS TO NONLINEAR CYCLE THEORY IN THE 1950s," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 54-74, March.
  22. Baogui Xin & Tong Chen & Junhai Ma, 2010. "Neimark-Sacker Bifurcation in a Discrete-Time Financial System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-12, September.
  23. Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585, Elsevier.
  24. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
  25. Umberto Neri & Beatrice Venturi, 2007. "Stability and bifurcations in IS-LM economic models," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(1), pages 53-65, March.
  26. Paolo Magrassi, 2019. "Econophysics deserves a revamping," Papers 1911.05814, arXiv.org, revised Jan 2020.
  27. Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.
  28. Michaël Assous & Muriel Dal Pont Legrand & Harald Hagemann, 2016. "Business cycles and growth," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 4, pages 27-39, Edward Elgar Publishing.
  29. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
  30. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
  31. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
  32. Paul Beaudry & Dana Galizia & Franck Portier, 2020. "Putting the Cycle Back into Business Cycle Analysis," American Economic Review, American Economic Association, vol. 110(1), pages 1-47, January.
  33. Dominique Guégan, 2007. "Chaos in economics and finance," Documents de travail du Centre d'Economie de la Sorbonne b07054, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jan 2009.
  34. Alexeeva, Tatyana A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2021. "Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  35. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
  36. Tavani Daniele & Zamparelli Luca, 2015. "Endogenous technical change, employment and distribution in the Goodwin model of the growth cycle," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(2), pages 209-216, April.
  37. Venditti Alain, 2019. "Competitive equilibrium cycles for small discounting in discrete-time two-sector optimal growth models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(4), pages 1-14, September.
  38. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
  39. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
  40. Nishimura Kazuo & Shigoka Tadashi, 2019. "Hopf bifurcation and the existence and stability of closed orbits in three-sector models of optimal endogenous growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(4), pages 1-21, September.
  41. He, Yijun & Barnett, William A., 2006. "Singularity bifurcations," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 5-22, March.
  42. Yacov Tsur & Amos Zemel, 2017. "Steady state properties of multi-state economic models," Canadian Journal of Economics, Canadian Economics Association, vol. 50(2), pages 506-521, May.
  43. Salanié, François & Liski, Matti, 2020. "Catastrophes, delays, and learning," TSE Working Papers 20-1148, Toulouse School of Economics (TSE).
  44. Alain Venditti, 2012. "Weak concavity properties of indirect utility functions in multisector optimal growth models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 13-26, March.
  45. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2014. "Destabilization effect of international trade in a perfect foresight dynamic general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 357-392, February.
  46. Jean-Pierre Drugeon, 2008. "On Intersectoral Asymmetries in Factors Substitutability “Equilibrium Production Possibility Frontiers” and the emergence of indeterminacies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00182205, HAL.
  47. Portier, Franck & Beaudry, Paul & Galizia, Dana, 2015. "Reviving the Limit Cycle View of Macroeconomic Fluctuations," CEPR Discussion Papers 10645, C.E.P.R. Discussion Papers.
  48. Stefano Bosi & David Desmarchelier & Thai Ha‐Huy, 2022. "Wheels and cycles: Suboptimality and volatility of corrupted economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 440-460, December.
  49. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
  50. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
  51. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
  52. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
  53. 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.
  54. Harutaka Takahashi, 2021. "Toward a Theory of the Labor Share’s Fall: A Dynamic Model of the “Superstar†Firm," Discussion Papers 2127, Graduate School of Economics, Kobe University.
  55. Hoekstra, Jeljer & van den Bergh, Jeroen C.J.M., 2005. "Harvesting and conservation in a predator-prey system," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1097-1120, June.
  56. Greiner, Alfred, 1996. "Endogenous growth cycles--Arrow's learning by doing reconsidered," Journal of Macroeconomics, Elsevier, vol. 18(4), pages 587-604.
  57. Alexeeva, Tatyana A. & Barnett, William A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2020. "Dynamics of the Shapovalov mid-size firm model," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
  58. Mototsugu Shintani & Oliver Linton, 2003. "Is There Chaos in the World Economy? A Nonparametric Test Using Consistent Standard Errors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 331-357, February.
  59. William A. Barnett & Yijun He, 1999. "Center Manifold, Stability, and Bifurcations in Continuous Time Macroeconometric Systems," Macroeconomics 9901002, University Library of Munich, Germany.
  60. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
  61. Barnett, William A. & Duzhak, Evgeniya A., 2019. "Structural Stability Of The Generalized Taylor Rule," Macroeconomic Dynamics, Cambridge University Press, vol. 23(4), pages 1664-1678, June.
  62. Barnett, William A. & He, Susan, 2010. "Existence of singularity bifurcation in an Euler-equations model of the United States economy: Grandmont was right," Economic Modelling, Elsevier, vol. 27(6), pages 1345-1354, November.
  63. Datta, Soumya, 2013. "Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems," MPRA Paper 50814, University Library of Munich, Germany.
  64. Barnett, William A. & Chen, Guo, 2015. "Bifurcation of Macroeconometric Models and Robustness of Dynamical Inferences," Foundations and Trends(R) in Econometrics, now publishers, vol. 8(1-2), pages 1-144, September.
  65. Takahashi, Harutaka, 2010. "Global analysis of the growth and cycles of multi-sector economies with constant returns: A turnpike approach," MPRA Paper 24860, University Library of Munich, Germany, revised Jun 2010.
  66. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
  67. Gong, Liutang & Zhao, Xiaojun & Yang, Yunhong & Hengfu, Zou, 2010. "Stochastic growth with social-status concern: The existence of a unique stable distribution," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 505-518, July.
  68. Xue-Zhong He & Kai Li, 2014. "Time Series Momentum and Market Stability," Research Paper Series 341, Quantitative Finance Research Centre, University of Technology, Sydney.
  69. Kalra, Sanjay, 1996. "Cyclical equilibria in multi-sector productive economies: The role of substitution and factor intensity," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1709-1729.
  70. Dominique Guegan, 2009. "Chaos in economics and finance," Post-Print halshs-00187885, HAL.
  71. Dominique Guegan, 2009. "Chaos in Economics and Finance," Post-Print halshs-00375713, HAL.
  72. Toichiro Asada, 1995. "Kaldorian dynamics in an open economy," Journal of Economics, Springer, vol. 62(3), pages 239-269, October.
  73. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
  74. Jinill Kim & Andrew Levin & Tack Yun, 2011. "Bifurcation in Perturbation Analysis:Calvo Pricing Examples," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 221-236, March.
  75. Michael Woodford, 1990. "Equilibrium Models of Endogenous Fluctuations: an Introduction," NBER Working Papers 3360, National Bureau of Economic Research, Inc.
  76. Rodriguez, Alvaro, 1996. "On the local stability of the stationary solution to variational problems," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 415-431.
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  79. William Barnett & Yijun He, 2006. "Existence of Bifurcation in Macroeconomic Dynamics: Grandmont was Right," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200610, University of Kansas, Department of Economics.
  80. Philippe Michel & Alain Venditti & Claude Jessua, 1996. "Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple," Revue Économique, Programme National Persée, vol. 47(3), pages 487-497.
  81. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2013. "Fiscal Sustainability, Macroeconomic Stability, and Welfare under Fiscal Discipline in a Small Open Economy," Discussion Papers in Economics and Business 13-07, Osaka University, Graduate School of Economics.
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  92. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2009. "Optimal Growth and Competitive Equilibrium Business Cycles under Decreasing Returns in Two-Country Models," Review of International Economics, Wiley Blackwell, vol. 17(SI), pages 371-391, May.
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