IDEAS home Printed from https://ideas.repec.org/p/mse/cesdoc/11084.html

On the rank of payoff matrices with long-term assets

Author

Abstract

We consider a stochastic financial exchange economy with a finite date-event tree representing time and uncertainty and a nominal financial structure with possibly long-term assets. We exhibit a sufficient condition under which the payoff matrix and the full payoff matrix have the same rank. This generalizes previous results of Angeloni-Cornet and Magill-Quinzii involving only short-term assets. We then derive existence results with assumptions only based on the fundamentals of the economy

Suggested Citation

  • Jean-Marc Bonnisseau & Achis Chery, 2011. "On the rank of payoff matrices with long-term assets," Documents de travail du Centre d'Economie de la Sorbonne 11084, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:11084
    as

    Download full text from publisher

    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2011/11084.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    2. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Víctor Pérez Fernández & Juan Pablo Torres-Martínez, 2012. "Incomplete Financial Participation: Exclusive Markets, Investment Clubs, and Credit Risk," Working Papers wp363, University of Chile, Department of Economics.
    2. Faias, Marta & Torres-Martínez, Juan Pablo, 2017. "Credit market segmentation, essentiality of commodities, and supermodularity," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 115-122.
    3. Seghir, Abdelkrim & Torres-Martínez, Juan Pablo, 2011. "On equilibrium existence with endogenous restricted financial participation," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 37-42, January.
    4. Cea-Echenique, Sebastián & Torres-Martínez, Juan Pablo, 2016. "Credit segmentation in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 19-27.
    5. Alain Chateauneuf & Bernard Cornet, 2022. "Correction to: Submodular financial markets with frictions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 745-746, April.
    6. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    7. Zaier Aouani & Bernard Cornet, 2017. "Eliminating useless portfolios in constrained financial economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 159-190, January.
    8. Iraola, Miguel A. & Torres-Martínez, Juan Pablo, 2014. "Equilibrium in collateralized asset markets: Credit contractions and negative equity loans," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 113-122.
    9. 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.
    10. Michail Anthropelos & Constantinos Kardaras, 2018. "Price Impact Under Heterogeneous Beliefs and Restricted Participation," Papers 1802.09954, arXiv.org, revised Dec 2023.
    11. Jean-Marc Bonnisseau & Achis Chery, 2013. "On the equivalence of financial structures with short-term assets," Documents de travail du Centre d'Economie de la Sorbonne 13079, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2018. "General equilibrium with endogenous trading constraints," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-10, September.
    13. Philippe Bich & Bernard Cornet, 2009. "Existence of pseudo-equilibria in a financial economy," Post-Print halshs-00426399, HAL.
    14. Jean-Marc Bonnisseau & Achis Chery, 2014. "Stability of marketable payoffs with long-term assets," Annals of Finance, Springer, vol. 10(4), pages 523-552, November.
    15. Jean-Marc Bonnisseau & Achis Chery, 2013. "Sensitivity of marketable payoffs with long-term assets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00821094, HAL.
    16. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2012. "Endogenous Information: The Role of Sequential Trade and Financial Participation," Working Papers wp361, University of Chile, Department of Economics.
    17. Michele Gori & Marina Pireddu & Antonio Villanacci, 2010. "Regularity and Pareto Improving on financial equilibria with endogenous borrowing restrictions," Working Papers - Mathematical Economics 2010-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Aug 2012.
    18. Anthropelos, Michail & Kardaras, Constantinos, 2024. "Price impact under heterogeneous beliefs and restricted participation," Journal of Economic Theory, Elsevier, vol. 215(C).
    19. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    20. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2017. "Endogenous differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 51-72, January.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • G1 - Financial Economics - - General Financial Markets

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mse:cesdoc:11084. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lucie Label (email available below). General contact details of provider: https://edirc.repec.org/data/cenp1fr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.