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The Survival Assumption in Intertemporal Economies

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Abstract

In an economy with a non-convex production sector, we provide an assumption on each individual producer, which implies that the survival assumption holds true at the aggregate level for general pricing rules. For the marginal pricing rule, we derive this assumption from the bounded marginal productivity of inputs. We apply this approach to intertemporal economies and we show how our assumption fits well with the time structure leading to a tractable existence result of equilibria, which could be apply to discrete dynamical growth models

Suggested Citation

  • Jean-Marc Bonnisseau & Alexandrine Jamin, 2009. "The Survival Assumption in Intertemporal Economies," Documents de travail du Centre d'Economie de la Sorbonne 09076, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:09076
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    References listed on IDEAS

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    1. Cornet, Bernard, 1988. "General equilibrium theory and increasing returns : Presentation," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 103-118, April.
    2. Vohra, Rajiv, 1992. "Marginal Cost Pricing under Bounded Marginal Returns," Econometrica, Econometric Society, vol. 60(4), pages 859-876, July.
    3. A. P. Lerner, 1936. "A Note on Socialist Economics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(1), pages 72-76.
    4. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 685-708, August.
    5. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    6. Oskar Lange, 1936. "On the Economic Theory of Socialism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(1), pages 53-71.
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    1. Jean-Marc Bonnisseau & Lalaina Rakotonindrainy, 2017. "Existence of equilibrium in OLG economies with increasing returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 111-129, January.

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    More about this item

    Keywords

    General equilibrium theory; increasing returns; survival assumption; marginal pricing; general pricing rules;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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