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A simple proof of existence of equilibrium in a one sector growth modelp with bounded or unbounded returns from below

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  • Duran, Jorge

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES); CEPREMAP)

  • Le Van, Cuong

    (Université Paris I, CNRS-CERMSEM)

Abstract

We analyze a Ramsey economy when net investment is constrained to be non negative. We prove existence of a competitive equilibrium when utility need not be bounded from below and the Inada-type conditions need not hold. The analysis is carried out by means of a direct and technically standard strategy. This direct strategy (a) allows us to obtain detailed results concerning properties of competitive equilibria, and (b) is amenable to be easily adapted for the analysis of analogous models often found in macroeconomics.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2000025.

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Length: 18
Date of creation: 01 Oct 2000
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Handle: RePEc:ctl:louvir:2000025

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Keywords: Ramsey model; one sector growth model; non negative net investment; competitive equilibrium;

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  1. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  2. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  3. Aliprantis, Charalambos D. & Border, Kim C. & Burkinshaw, Owen, 1997. "New Proof Of The Existence Of Equilibrium In A Single-Sector Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 1(04), pages 669-679, December.
  4. Peleg, Bezalel & Yaari, Menahem E, 1970. "Markets with Countably Many Commodities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 369-77, October.
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Cited by:
  1. 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.
  2. Cuong Le Van & Yiannis Vailakis, 2004. "Existence of competitive equilibrium in a single-sector growth model with elastic labour," Cahiers de la Maison des Sciences Economiques b04123, Université Panthéon-Sorbonne (Paris 1).
  3. Gustavo A. Marrero, 2005. "Revisiting the optimal stationary public investment policy in endogenous growth economies," Documentos de Trabajo del ICAE 0509, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
  4. Robert A. Becker, 2012. "Optimal growth with heterogeneous agents and the twisted turnpike: An example," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 27-47, 03.
  5. repec:hal:journl:halshs-00639731 is not listed on IDEAS
  6. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
  7. Cuong Le Van & Cagri Saglam & Selman Erol, 2011. "Existence, Optimality and Dynamics of Equilibria with Endogenous Time Preference," Working Papers 04, Development and Policies Research Center (DEPOCEN), Vietnam.

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