Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction
We present a simple and transparent construction that furnishes, for any pre-chosen dynamic, particular instances of the 2-sector version of the Robinson–Solow–Srinivasan model that yield the chosen dynamic, including optimal topologically chaotic programs and those that exhibit cycles of any given period. The construction is expressed in terms of ξ, the marginal rate of transformation of capital from one period to the next with zero consumption, an important summary statistic of the model discovered by Khan and Mitra. Our construction relies on theorems due to Li–Yorke and Sharkovsky, and complements earlier work on chaotic dynamics in the RSS model.
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Volume (Year): 80 (2011)
Issue (Month): 3 ()
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- Day, Richard H. & Huang, Weihong, 1990.
"Bulls, bears and market sheep,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 14(3), pages 299-329, December.
- Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
- 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.
- Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October.
- Sorger, Gerhard, 1994. "Policy functions of strictly concave optimal growth models," Ricerche Economiche, Elsevier, vol. 48(3), pages 195-212, September.
- Gerhard SORGER, 1993. "Policy Functions of Strictly Concave Optimal Growth Models," Vienna Economics Papers vie9304, University of Vienna, Department of Economics.
- 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.
- Khan, M. Ali & Mitra, Tapan, 2004. "On Topological Chaos in the Robinson-Solow-Srinivasan Model," Working Papers 04-18, Cornell University, Center for Analytic Economics.
- Day, R. H. & Eliasson, G., 1991. "Editorial," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 1-2, July.
- Barkley Rosser, J. Jr., 1983. "Reswitching as a cusp catastrophe," Journal of Economic Theory, Elsevier, vol. 31(1), pages 182-193, October.
- McKenzie, Lionel W., 1983. "Turnpike theory, discounted utility, and the von Neumann facet," Journal of Economic Theory, Elsevier, vol. 30(2), pages 330-352, August.
- I. M. D. Little, 1957. "Classical Growth," Oxford Economic Papers, Oxford University Press, vol. 9(2), pages 152-177.
- W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 275-280.
- Kelsey, David, 1988. "The Economics of Chaos or the Chaos of Economics," Oxford Economic Papers, Oxford University Press, vol. 40(1), pages 1-31, March.
- 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.
- Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
- 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.
- 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.
- 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.
- Kaas, Leo, 1998. "Stabilizing chaos in a dynamic macroeconomic model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 313-332, January.
- Majumdar, Mukul & Mitra, Tapan, 1994. "Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 649-676, August.
- J. Barkley Rosser, 1999. "On the Complexities of Complex Economic Dynamics," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 169-192, Fall.
- Tapan Mitra, 2005. "Characterization of the turnpike property of optimal paths in the aggregative model of intertemporal allocation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(4), pages 247-275.
- Mitra, Tapan, 2002. "A Characterization of the Turnpike Property of Optimal Paths in the Aggregative Model of Intertemporal Allocation," Working Papers 02-17, Cornell University, Center for Analytic Economics.
- Nishimura, Kazuo & Yano, Makoto, 1994. "Optimal Chaos, Nonlinearity and Feasibility Conditions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 689-704, August.
- Fujio, Minako, 2008. "Undiscounted optimal growth in a Leontief two-sector model with circulating capital: The case of a capital-intensive consumption good," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 420-436, May.
- 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.
- Nishimura, Kazuo & Yano, Makoto, 1995. "Nonlinear Dynamics and Chaos in Optimal Growth: An Example," Econometrica, Econometric Society, vol. 63(4), pages 981-1001, July.
- Mas-Colell, Andreu & Razin, Assaf, 1973. "A Model of Intersectoral Migration and Growth," Oxford Economic Papers, Oxford University Press, vol. 25(1), pages 72-79, March.
- 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.
- Medio, Alfredo, 1987. "Introduction," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 333-337, September.
- Dudek, Maciej K., 2010. "A consistent route to randomness," Journal of Economic Theory, Elsevier, vol. 145(1), pages 354-381, January.
- Solow, Robert M., 1999. "Neoclassical growth theory," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 9, pages 637-667 Elsevier. Full references (including those not matched with items on IDEAS)
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