Endogenous business cycles and dynamic inefficiency
This paper explores how the occurrence of local indeterminacy and endogenous business cycles relates to dynamic inefficiency, as defined by Malinvaud (1953), Phelps (1965) and Cass (1972). We follow Reichlin (1986) and Grandmont (1993) by considering a two-period OLG model of capital accumulation with labor-leisure choice into the first-period of agents� life and consumption in both periods. We first show that local indeterminacy and Hopf bifurcation are necessarily associated with a capital-labor ratio that is, at steady state, larger than the Golden Rule level. Consequently, paths converging asymptotically towards the steady state are shown to be dynamically inefficient, as there always exists another trajectory that starts with the same initial conditions and produces more aggregate consumption at all future dates. More surprising, however, is our main result showing that stable orbits, generated around a dynamically inefficient steady state through a supercritical Hopf bifurcation, may, in contrast, be dynamically efficient.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 2 (2006)
Issue (Month): 3-4 ()
|Contact details of provider:|| Web page: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355|
|Order Information:||Web: http://www.blackwellpublishing.com/subs.asp?ref=1742-7355|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Tito Pietra, 2004. "Sunspots, indeterminacy and Pareto inefficiency in economies with incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 687-699, October.
- Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998.
"Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles,"
Journal of Economic Theory,
Elsevier, vol. 80(1), pages 14-59, May.
- GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
- Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
- de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
- Cazzavillan, Guido & Pintus, Patrick A., 2006. "Capital externalities in OLG economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1215-1231, July.
- David Cass & Menahem E. Yaari, 1966. "A Re-examination of the Pure Consumption Loans Model," Journal of Political Economy, University of Chicago Press, vol. 74, pages 353-353.
- David Cass & Menahem E. Yaari, 1965. "A Re-Examination of the Pure Consumption Loans Model," Cowles Foundation Discussion Papers 195, Cowles Foundation for Research in Economics, Yale University.
- Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
- Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
- Piero Gottardi & Subir Chattopadhyay, 1999. "- Stochastic Olg Models, Market Structure And Optimality," Working Papers. Serie AD 1999-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Benveniste, Lawrence M., 1976. "A complete characterization of efficiency for a general capital accumulation model," Journal of Economic Theory, Elsevier, vol. 12(2), pages 325-337, April.
- Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
- Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2005. "Indeterminacy in Dynamic Models: When Diamond Meets Ramsey," CEPR Discussion Papers 5255, C.E.P.R. Discussion Papers.
- J. D. Geanakoplos & H. M. Polemarchakis, 1986. "Walrasian Indeterminacy and Keynesian Macroeconomics," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 755-779.
- GEANAKOPLOS, John D. & POLEMARCHAKIS, Heraklis M., "undated". "Walrasian indeterminacy and Keynesian macroeconomics," CORE Discussion Papers RP 715, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- John Geanakoplos & Polemarchakis, Heracles M., 1985. "Walrasian Indeterminacy and Keynesian Macroeconomics," Cowles Foundation Discussion Papers 778, Cowles Foundation for Research in Economics, Yale University.
- Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
- Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
- Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
- Benhabib, Jess & Laroque, Guy, 1988. "On competitive cycles in productive economies," Journal of Economic Theory, Elsevier, vol. 45(1), pages 145-170, June.
- Benhabib, Jess & Laroque, Guy, 1986. "On Competitive Cycles in Productive Economies," Working Papers 86-19, C.V. Starr Center for Applied Economics, New York University.
- Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
- Guido Cazzavillan & Patrick A. Pintus, 2004. "Robustness of Multiple Equilibria in OLG Economies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 456-475, April.
- Samuelson, Larry, 1980. "The Golden Rule with Endogenous Labor Participation Rate," American Economic Review, American Economic Association, vol. 70(4), pages 752-755, September.
- d ASPREMONT, Claude, & DOS SANTOS FERREIRA , Rodolphe & GERARD-VARET , Louis-André, 1994. "Market Power, Coordination Failures and Endogenous Fluctuations," CORE Discussion Papers 1994068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Luigi Montrucchio, 2004. "Cass transversality condition and sequential asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 645-663, October. Full references (including those not matched with items on IDEAS)