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On existence, effciency and bubbles of Ramsey equilibrium with borrowing constraints

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  • Robert Becker

    (Department of Economics, Indiana University)

  • Stefano Bosi

    (EPEE, University of Evry)

  • Cuong Le Van

    (CES, CNRS, VCREME and Hanoi WRU)

  • Thomas Seegmuller

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS and EHESS)

Abstract

We address the fundamental issues of existence and efficiency of an equilibrium in a Ramsey model with many agents, where agents have heterogenous discounting, elastic labor supply and face borrowing constraints. The existence of rational bubbles is also tackled. In the first part, we prove the equilibrium existence in a truncated bounded economy through a fixed-point argument by Gale and Mas-Colell (1975). This equilibrium is also an equilibrium of any unbounded economy with the same fundamentals. The proof of existence is eventually given for an infinitehorizon economy as a limit of a sequence of truncated economies. Our general approach is suitable for applications to other models with different market imperfections. In the second part, we show the impossibility of bubbles in a productive economy and we give sufficient conditions for equilibrium efficiency.

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Bibliographic Info

Paper provided by Development and Policies Research Center (DEPOCEN), Vietnam in its series Working Papers with number 15.

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Length: 36 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:dpc:wpaper:1513

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  1. Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1989. "Determinacy of equilibria in dynamic models with finitely many consumers," Staff Report 118, Federal Reserve Bank of Minneapolis.
  2. Becker, R.C. & Foias, C., 1992. "The Local Bifurcation of Ramsey Equilibrium," Papers 92-002, Indiana - Center for Econometric Model Research.
  3. Becker, Robert & Mitra, Tapan, 2011. "Efficient Ramsey Equilibria," Working Papers 11-02, Cornell University, Center for Analytic Economics.
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  6. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer, vol. 4(5), pages 745-64, August.
  7. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 475-492, July.
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  10. Robert Becker, 2011. "Optimal Growth with Heterogeneous Agents and the Twisted Turnpike: An Example," Caepr Working Papers 2011-008, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  11. Manuel S. Santos & Michael Woodford, 1993. "Rational Asset Pricing Bubbles," Working Papers 9304, Centro de Investigacion Economica, ITAM.
  12. Becker, Robert A. & Foias, Ciprian, 2007. "Strategic Ramsey equilibrium dynamics," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 318-346, April.
  13. Sarte, Pierre-Daniel G., 1997. "Progressive taxation and income inequality in dynamic competitive equilibrium," Journal of Public Economics, Elsevier, vol. 66(1), pages 145-171, October.
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  30. Sorger, Gerhard, 2002. "On the Long-Run Distribution of Capital in the Ramsey Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 226-243, July.
  31. Robert Becker & Ram Sewak Dubey & Tapan Mitra, 2012. "On Ramsey Equilibrium: Capital Ownership Pattern and Inefficiency," Caepr Working Papers 2012-007, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  32. 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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  38. repec:hal:journl:halshs-00101237 is not listed on IDEAS
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Cited by:
  1. Ngoc-Sang Pham, 2013. "Collateral monetary equilibrium with liquidity constraints in an infinite horizon economy," Documents de travail du Centre d'Economie de la Sorbonne 13055r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Sep 2013.
  2. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many Agents," AMSE Working Papers 1314, Aix-Marseille School of Economics, Marseille, France, revised 08 Feb 2013.
  3. Robert Becker & Ram Sewak Dubey & Tapan Mitra, 2012. "On Ramsey Equilibrium: Capital Ownership Pattern and Inefficiency," Caepr Working Papers 2012-007, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  4. repec:ipg:wpaper:4 is not listed on IDEAS

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