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Intertemporal equilibrium with production: bubbles and efficiency

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  • Stefano Bosi
  • Cuong Le Van
  • Ngoc-Sang Pham

Abstract

We consider a general equilibrium model with heterogeneous agents, borrowing constraints, and exogenous labor supply. First, the existence of intertemporal equi- librium is proved even if the aggregate capitals are not uniformly bounded above and the production functions are not time invariant. Second, (i) we call by physical capital bubble a situation in which the fundamental value of physical capital is lower than its price, (ii) we say that the interest rates are low if the sum of interest rates is finite. We show that physical capital bubble is equivalent to a situation with low interest rates. Last, we prove that with linear technologies, every intertemporal equilibrium is efficient. Moreover, there is a room for both efficiency and bubble.

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Bibliographic Info

Paper provided by Department of Research, Ipag Business School in its series Working Papers with number 2014-306.

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Length: 16 pages
Date of creation: 02 Jun 2014
Date of revision:
Handle: RePEc:ipg:wpaper:2014-306

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Keywords: Intertemporal equilibrium; physical capital bubble; efficiency; infinite hori- zon.;

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  1. Ventura, Jaume, 2012. "Bubbles and capital flows," Journal of Economic Theory, Elsevier, vol. 147(2), pages 738-758.
  2. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  3. Alberto Martin, 2010. "Economic Growth with Bubbles," 2010 Meeting Papers 788, Society for Economic Dynamics.
  4. Becker, Robert & Mitra, Tapan, 2011. "Efficient Ramsey Equilibria," Working Papers 11-02, Cornell University, Center for Analytic Economics.
  5. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, 09.
  6. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2014. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Working Papers 2014-105, Department of Research, Ipag Business School.
  7. Mitra, Tapan & Ray, Debraj, 2012. "On the Phelps–Koopmans theorem," Journal of Economic Theory, Elsevier, vol. 147(2), pages 833-849.
  8. Gaetano Bloise & Pietro Reichlin, 2008. "Asset Prices, Debt Constraints and Inefficiency," EIEF Working Papers Series 0803, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2008.
  9. repec:hal:cesptp:halshs-00196183 is not listed on IDEAS
  10. Julio Davila & Jay H. Hong & Per Krusell & Jose-Victor Rios-Rull, 2005. "Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks," PIER Working Paper Archive 05-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  11. Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
  12. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  13. Markus K. Brunnermeier & Martin Oehmke, 2012. "Bubbles, Financial Crises, and Systemic Risk," NBER Working Papers 18398, National Bureau of Economic Research, Inc.
  14. Cass, D & Yaari, M E, 1971. "Present Values Playing the Role of Efficiency Prices in the One-Good Growth Model," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 331-39, July.
  15. 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.
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