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Intertemporal equilibrium with production: bubbles and efficiency

  • Stefano Bosi

    ()

    (EPEE - Université d'Evry-Val d'Essonne)

  • Cuong Le Van

    ()

    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris, VCREME - VanXuan Center of Research in Economics, Management and Environment - VanXuan Center of Research in Economics, Management and Environment, IPAG Business School - Business School)

  • Ngoc-Sang Pham

    ()

    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

We consider a general equilibrium model with heterogeneous agents, borrowing constraints, and exogenous labor supply. First, the existence of intertemporal equilibrium 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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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-01020888.

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Date of creation: May 2014
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Handle: RePEc:hal:cesptp:halshs-01020888
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  1. DAVILA, Julio & HONG, Jay H. & KRUSELL, Per & RIOS-RULL, José-Victor, . "Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks," CORE Discussion Papers RP -2463, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2014. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020635, HAL.
  3. Robert A. Becker & Tapan Mitra, 2011. "Efficient Ramsey Equilbria," Caepr Working Papers 2011-009, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  4. Timothy J. Kehoe & David K. Levine, 1992. "Debt constrained asset markets," Working Papers 445, Federal Reserve Bank of Minneapolis.
  5. Mitra, Tapan & Ray, Debraj, 2012. "On the Phelps–Koopmans theorem," Journal of Economic Theory, Elsevier, vol. 147(2), pages 833-849.
  6. Markus K. Brunnermeier & Martin Oehmke, 2012. "Bubbles, Financial Crises, and Systemic Risk," NBER Working Papers 18398, National Bureau of Economic Research, Inc.
  7. 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.
  8. Gaetano Bloise & Pietro Reichlin, 2008. "Asset prices, debt constraints and inefficiency," Departmental Working Papers of Economics - University 'Roma Tre' 0089, Department of Economics - University Roma Tre.
  9. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  10. Alberto Martin, 2010. "Economic Growth with Bubbles," 2010 Meeting Papers 788, Society for Economic Dynamics.
  11. Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer, vol. 20(2), pages 427-433.
  12. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, 09.
  13. 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.
  14. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints," AMSE Working Papers 1231, Aix-Marseille School of Economics, Marseille, France, revised 11 Nov 2012.
  15. Ventura, Jaume, 2012. "Bubbles and capital flows," Journal of Economic Theory, Elsevier, vol. 147(2), pages 738-758.
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