On Topological Chaos in the Robinson-Solow-Srinivasan Model
Author
Abstract
Suggested Citation
Download full text from publisher
Other versions of this item:
- Khan, M. Ali & Mitra, Tapan, 2005. "On topological chaos in the Robinson-Solow-Srinivasan model," Economics Letters, Elsevier, vol. 88(1), pages 127-133, July.
References listed on IDEAS
- Kazuo Nishimura & Makoto Yano, 2012.
"On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles,"
Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 165-191,
Springer.
- Nishimura, Kazuo & Yano, Makoto, 1996. "On the Least Upper Bound of Discount Factors That Are Compatible with Optimal Period-Three Cycles," Journal of Economic Theory, Elsevier, vol. 69(2), pages 306-333, May.
- Dutta, Prajit K. & Mitra, Tapan, 1989. "Maximum theorems for convex structures with an application to the theory of optimal intertemporal allocation," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 77-86, February.
- M. Ali Khan & Tapan Mitra, 2005.
"On choice of technique in the Robinson–Solow–Srinivasan model,"
International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110, June.
- Khan, Ali & Mitra, Tapan, 2003. "On choice of technique in the Robinson-Solow-Srinivasan model," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 504, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
- Khan, M. Ali & Mitra, Tapan, 2004. "On Choice of Technique in the Robinson-Solow-Srinivasan Model," Working Papers 04-13, Cornell University, Center for Analytic Economics.
- McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
- Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
- M. Ali Khan & Tapan Mitra, 2007. "Optimal Growth In A Two‐Sector Rss Model Without Discounting: A Geometric Investigation," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 191-225, June.
- Lionel W. McKenzie, 2005. "Classical General Equilibrium Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633302, December.
- Mitra, Tapan, 1996. "An Exact Discount Factor Restriction for Period-Three Cycles in Dynamic Optimization Models," Journal of Economic Theory, Elsevier, vol. 69(2), pages 281-305, May.
- Roy Radner, 1961. "Prices and the Turnpike: III. Paths of Economic Growth that are Optimal with Regard only to Final States: A Turnpike Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 98-104.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Bella, Giovanni, 2017. "Homoclinic bifurcation and the Belyakov degeneracy in a variant of the Romer model of endogenous growth," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 452-460.
- Deng, Liuchun & Khan, M. Ali, 2018. "On growing through cycles: Matsuyama’s M-map and Li–Yorke chaos," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 46-55.
- Orlando Gomes, 2007. "Routes to chaos in macroeconomic theory," Journal of Economic Studies, Emerald Group Publishing, vol. 33(6), pages 437-468, January.
- Orlando Gomes, 2006. "Local Bifurcations and Global Dynamics in a Solow-type Endogenous Business Cycles Model," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 91-127, May.
- Ali Khan, M. & Piazza, Adriana, 2011. "Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 397-417.
- Orlando Gomes, 2006. "Routes to chaos in macroeconomic theory," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 33(6), pages 437-468, November.
- Orlando Gomes, 2006. "Routes to chaos in macroeconomic theory," Journal of Economic Studies, Emerald Group Publishing, vol. 33(6), pages 437-468, November.
- Makoto Yano & Yuichi Furukawa, 2021. "Two-Dimensional Constrained Chaos and Industrial Revolution Cycles with Mathemetical Appendices," KIER Working Papers 1057, Kyoto University, Institute of Economic Research.
- Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2022. "Continuous unimodal maps in economic dynamics: On easily verifiable conditions for topological chaos," Journal of Economic Theory, Elsevier, vol. 201(C).
- Liuchun Deng & Minako Fujio & M. Ali Khan, 2023. "On optimal extinction in the matchbox two-sector model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 445-494, August.
- Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2020. "Exact parametric restrictions for 3-cycles in the RSS model: A complete and comprehensive characterization," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 48-56.
- Deng, Liuchun & Khan, M. Ali, 2018. "On Mitra’s sufficient condition for topological chaos: Seventeen years later," Economics Letters, Elsevier, vol. 164(C), pages 70-74.
- Bella, Giovanni & Mattana, Paolo & Venturi, Beatrice, 2017. "Shilnikov chaos in the Lucas model of endogenous growth," Journal of Economic Theory, Elsevier, vol. 172(C), pages 451-477.
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.- Ali Khan, M. & Piazza, Adriana, 2011. "Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 397-417.
- M. Khan & Alexander Zaslavski, 2007.
"On a Uniform Turnpike of the Third Kind in the Robinson-Solow-Srinivasan Model,"
Journal of Economics, Springer, vol. 92(2), pages 137-166, October.
- Khan, Ali & Zaslavski, Alexander J., 2007. "On a uniform turnpike of the third kind in the Robinson-Solow-Srinivasan model," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 641, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
- Mitra, Tapan, 1998. "On the relationship between discounting and complicated behavior in dynamic optimization models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 421-434, January.
- Khan, M. Ali & Zaslavski, Alexander J., 2009. "On existence of optimal programs: The RSS model without concavity assumptions on felicities," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 624-633, September.
- Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
- Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
- M. Ali Khan & Tapan Mitra, 2005.
"On choice of technique in the Robinson–Solow–Srinivasan model,"
International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110, June.
- Khan, Ali & Mitra, Tapan, 2003. "On choice of technique in the Robinson-Solow-Srinivasan model," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 504, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
- Khan, M. Ali & Mitra, Tapan, 2004. "On Choice of Technique in the Robinson-Solow-Srinivasan Model," Working Papers 04-13, Cornell University, Center for Analytic Economics.
- Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
- Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2022. "Continuous unimodal maps in economic dynamics: On easily verifiable conditions for topological chaos," Journal of Economic Theory, Elsevier, vol. 201(C).
- Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2020. "Exact parametric restrictions for 3-cycles in the RSS model: A complete and comprehensive characterization," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 48-56.
- Khan, M. Ali & Piazza, Adriana, 2010. "On the non-existence of optimal programs in the Robinson-Solow-Srinivasan (RSS) model," Economics Letters, Elsevier, vol. 109(2), pages 94-98, November.
- Panek Emil, 2020. "Almost “very strong” multilane turnpike effect in a non-stationary Gale economy with a temporary von Neumann equilibrium and price constraints," Economics and Business Review, Sciendo, vol. 6(2), pages 66-80, June.
- 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.
- George-Marios Angeletos & Laurent-Emmanuel Calvet, 2004. "Incomplete Market Dynamics in a Neoclassical Production Economy," NBER Working Papers 11016, National Bureau of Economic Research, Inc.
- George-Marios Angeletos & Laurent-Emmanuel Calvet, 2005. "Incomplete Market Dynamics in a Neoclassical Production Economy," Harvard Institute of Economic Research Working Papers 2058, Harvard - Institute of Economic Research.
- George-Marios Angeletos & Laurent-Emmanuel Calvet, 2005. "Incomplete Market Dynamics in a Neoclassical Production Economy," Post-Print halshs-00004728, HAL.
- Ghiglino, Christian & Venditti, Alain, 2007.
"Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies,"
Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
- Alain Venditti & Christian Ghiglino, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility intwo-sector economies," Post-Print halshs-00279997, HAL.
- Ali Khan, M. & Mitra, Tapan, 2008. "Growth in the Robinson-Solow-Srinivasan model: Undiscounted optimal policy with a strictly concave welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 707-732, July.
- Panek Emil, 2019. "Optimal growth processes in a non-stationary Gale economy with a multilane production turnpike," Economics and Business Review, Sciendo, vol. 5(2), pages 3-23, June.
- Gerhard Sorger, 2018.
"Cycles and chaos in the one-sector growth model with elastic labor supply,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 55-77, January.
- Gerhard Sorger, 2015. "Cycles and chaos in the one-sector growth model with elastic labor supply," Vienna Economics Papers vie1505, University of Vienna, Department of Economics.
- Jean-Paul Chavas, 2004. "On Impatience, Economic Growth and the Environmental Kuznets Curve: A Dynamic Analysis of Resource Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(2), pages 123-152, June.
- Metcalf, Christopher J., 2008. "The dynamics of the Stiglitz policy in the RSS model," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 652-661.
- YANO Makoto & FURUKAWA Yuichi, 2019. "Two-dimensional Constrained Chaos and Time in Innovation: An analysis of industrial revolution cycles," Discussion papers 19008, Research Institute of Economy, Trade and Industry (RIETI).
More about this item
JEL classification:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
- O21 - Economic Development, Innovation, Technological Change, and Growth - - Development Planning and Policy - - - Planning Models; Planning Policy
Statistics
Access and download statisticsCorrections
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:ecl:corcae:04-18. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/cacorus.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.