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Equilibria in a multi-period economy

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  • Bernard Cornet

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, Axe Economie mathématique et jeux - CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Abhishek Ranjan

    (Axe Economie mathématique et jeux - CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We consider the model of a financial exchange economy with finitely many periods having financial restricted participation i.e., each agents portfolio choice is restricted to a closed convex set containing zero, as in Siconolfi [1989]. Time and uncertainty are represented by a finite event-tree. There is a market for physical commodities at any state today or in any date of future and financial transfers across time and across states are allowed by means of finitely many financial assets (nominal and numeraire assets). We prove a general existence result of equilibria for such a financial exchange economy in which agents may have non-ordered preferences.

Suggested Citation

  • Bernard Cornet & Abhishek Ranjan, 2013. "Equilibria in a multi-period economy," Post-Print halshs-00801402, HAL.
    • Handle: RePEc:hal:journl:halshs-00801402
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00801402
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    References listed on IDEAS

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    Cited by:

    1. Bernard Cornet & Abhishek Ranjan, 2012. "A remark on arbitrage free prices in multi-period economy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00707401, HAL.
    2. repec:hal:pseose:halshs-00707401 is not listed on IDEAS

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    More about this item

    Keywords

    arbitrage free prices; equilibrium; financial exchange economy; Multi-period economy; restricted participation; prix sans arbitrage; équilibre général; économie d'échange financière; Multi-période économie; participation contraintes;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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