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General equilibrium of financial markets

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  • Monique Florenzano

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The purpose of this paper is to explain the role of financial assets in allowing individual agents of an economy to make at time 0 some limited commitments into the future which, at some extent, redistribute their revenue among several time periods and different states of the world. It is done studying in different contexts the general equilibrium of a simple two-period exchange model, under weaker assumptions and in a more general setting than the ones usually described in the literature.Several equilibrium existence theorems are stated and proved. Even in this simple framework, they often require a rather sophisticated mathematical background and are of a deep economic significance. Moreover, they are a necessary step towards further developments (including infinite horizon, continuous time, continuum of states of the world, defaut and collateral securities, ...).

Suggested Citation

  • Monique Florenzano, 1999. "General equilibrium of financial markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00085543, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00085543
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00085543
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    References listed on IDEAS

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    1. Gale, D. & Mas-Colell, A., 1979. "Corrections to an equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 297-298, December.
    2. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    3. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    4. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June.
    5. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    6. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    7. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July.
    10. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    11. Chae, Suchan, 1988. "Existence of competitive equilibrium with incomplete markets," Journal of Economic Theory, Elsevier, vol. 44(1), pages 179-188, February.
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    Citations

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    Cited by:

    1. Laura Angeloni & Bernard Cornet, 2005. "Existence Of Financial Equilibria In A Multiperiod Stochastic Economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200506, University of Kansas, Department of Economics, revised Feb 2005.
    2. Le, Thanh & Le Van, Cuong & Pham, Ngoc-Sang & Sağlam, Çağrı, 2020. "Direct Proofs of the Existence of Equilibrium, the Gale-Nikaido-Debreu Lemma and the Fixed Point Theorems using Sperner’s Lemma," MPRA Paper 110933, University Library of Munich, Germany, revised 28 Oct 2020.
    3. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    4. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: a proof of existence," Cahiers de la Maison des Sciences Economiques b04035, Université Panthéon-Sorbonne (Paris 1).
    5. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Post-Print halshs-00612131, HAL.
    6. Bosi, Stefano & Fontaine, Patrice & Le Van, Cuong, 2021. "Long-run equilibrium in international assets and goods markets: Why is the law of one price required?," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 891-904.
    7. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," CAEPR Working Papers 2012-001, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    8. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    9. Gourdel & Triki, 2005. "Monetary Policy with Incomplete Markets," Finance 0503026, University Library of Munich, Germany.
    10. Lionel de Boisdeffre, 2008. "The perfect foresights' assumption revisited : (I) the existence of equilibrium with multiple price expectations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00354814, HAL.
    11. Monique Florenzano & Stella Kanellopoulou & Yiannis Vailakis, 2006. "Equilibrium of incomplete markets with money and intermediate banking system," Post-Print halshs-00112209, HAL.
    12. Lionel De Boisdeffre, 2008. "The perfect foresights' assumption revisited: the existence of equilibrium with multiple price expectations," Documents de travail du Centre d'Economie de la Sorbonne b08104, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    13. Cuong Le Van & Ngoc-Sang Pham, 2021. "Equilibrium with non-convex preferences: some examples," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03177843, HAL.
    14. Lionel Boisdeffre, 2007. "No-arbitrage Equilibria with Differential Information: An Existence Proof," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 255-269, May.
    15. Abdelkrim Seghir & Leila Triki & Stella Kanellopoulou, 2004. "On the survival and irreducibility assumptions for financial markets with nominal assets," Cahiers de la Maison des Sciences Economiques b04008, Université Panthéon-Sorbonne (Paris 1).
    16. Pascal Gourdel & Leila Triki, 2005. "Incomplete markets and monetary policy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00193970, HAL.
    17. V.F. Martins-da-Rocha & L. Triki, 2005. "Equilibria in exchange economies with financial constraints: Beyond the Cass Trick," Microeconomics 0503013, University Library of Munich, Germany.
    18. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: an enlarged existence theorem," Cahiers de la Maison des Sciences Economiques b04102, Université Panthéon-Sorbonne (Paris 1).
    19. Le, Thanh & Le Van, Cuong & Pham, Ngoc-Sang & Sağlam, Çağrı, 2020. "Sperner Lemma, Fixed Point Theorems, and the Existence of Equilibrium," MPRA Paper 100084, University Library of Munich, Germany.

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