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Intertemporal equilibrium with production: bubbles and efficiency

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 Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 14043.

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Length: 16 pages
Date of creation: May 2014
Date of revision:
Handle: RePEc:mse:cesdoc:14043
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  1. 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.
  2. Alberto Martin, 2010. "Economic Growth with Bubbles," 2010 Meeting Papers 788, Society for Economic Dynamics.
  3. Emmanuel Farhi & Jean Tirole, 2011. "Bubbly Liquidity," NBER Working Papers 16750, National Bureau of Economic Research, Inc.
  4. Julio Davila & Jay H. Hong & Per Krusell & José-Victor Rios Rull, 2005. "Constrained efficiency in the neoclassical growth model with uninsurable idiosyncratic shocks," Cahiers de la Maison des Sciences Economiques b05066, Université Panthéon-Sorbonne (Paris 1).
  5. Narayana R. Kocherlakota, 2006. "Injecting Rational Bubbles," Levine's Bibliography 122247000000000905, UCLA Department of Economics.
  6. 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.
  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. 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.
  9. Mitra, Tapan & Ray, Debraj, 2009. "On the Phelps-Koopmans Theorem," Working Papers 09-04, Cornell University, Center for Analytic Economics.
  10. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  11. Aloisio Araujo & Mário Páscoa & Juan Pablo Torres-Martínez, 2008. "Long-lived Collateralized Assets and Bubbles," Working Papers wp284, University of Chile, Department of Economics.
  12. 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.
  13. Jaume Ventura, 2004. "Bubbles and capital flows," 2004 Meeting Papers 102, Society for Economic Dynamics.
  14. repec:cor:louvrp:-2463 is not listed on IDEAS
  15. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, 09.
  16. Ventura, Jaume, 2012. "Bubbles and capital flows," Journal of Economic Theory, Elsevier, vol. 147(2), pages 738-758.
  17. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
  18. Manuel S. Santos & Michael Woodford, 1993. "Rational Asset Pricing Bubbles," Working Papers 9304, Centro de Investigacion Economica, ITAM.
  19. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
  20. Markus K. Brunnermeier & Martin Oehmke, 2012. "Bubbles, Financial Crises, and Systemic Risk," NBER Working Papers 18398, National Bureau of Economic Research, Inc.
  21. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
  22. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer, vol. 15(2), pages 253-278.
  23. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
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