IDEAS home Printed from https://ideas.repec.org/a/fgv/epgrbe/v67y2013i3a4133.html
   My bibliography  Save this article

The General Equilibrium Framework with Default and Collateral

Author

Listed:
  • Feijó, Ricardo Luis Chaves

Abstract

This paper presents the evolution of the most recent mathematical models of general equilibrium, starting with the model of contingent commodities, through the sequential model with secutirites, even to the case of equilibrium with default and collateralized securities markets. To this end, we discuss on the main ideas regarding the application of microeconomic theory of general equilibrium to situations involving the exchange and resource allocation under conditions of uncertainty. Then we present the conditions of general equilibrium when financial markets are incomplete. We make a critical evaluation of assumptions for such models. Further, we introduce the discussion of the role of default in market general equilibrium, and finally we discuss the effect of collateral for the general equilibrium. Given a selection of eight important papers, the article examines the assumptions and mathematical behavioral models of each family and examines the main theorems that demonstrate whether or not the existence of general equilibrium in incomplete security markets with default and collateral. Still follows a classification of the assumptions underlying the set of theorems of general equilibrium shown in the literature considered.

Suggested Citation

  • Feijó, Ricardo Luis Chaves, 2013. "The General Equilibrium Framework with Default and Collateral," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 67(3), September.
    • Handle: RePEc:fgv:epgrbe:v:67:y:2013:i:3:a:4133
    as

    Download full text from publisher

    File URL: https://periodicos.fgv.br/rbe/article/view/4133
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zame, William R, 1993. "Efficiency and the Role of Default When Security Markets Are Incomplete," American Economic Review, American Economic Association, vol. 83(5), pages 1142-1164, December.
    2. 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.
    3. Xavier Mateos-Planas, 2011. "Consumer default with complete markets," 2011 Meeting Papers 954, Society for Economic Dynamics.
    4. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    5. Mateos-Planas, X. & Seccia, G., 2011. "Consumer Default with Complete Markets Riskbased Pricing Finite Punishment," Discussion Paper Series In Economics And Econometrics 1105, Economics Division, School of Social Sciences, University of Southampton.
    6. 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.
    7. Karl Schmedders, Felix Kubler, 2001. "Asset Pricing in Models with incomplete markets and default," Computing in Economics and Finance 2001 58, Society for Computational Economics.
    8. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    9. 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.
    10. Steinert, Mariano & Torres-Martinez, Juan Pablo, 2007. "General equilibrium in CLO markets," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 709-734, August.
    11. Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
    12. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    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. repec:fgv:epgrbe:v:67:n:3:a:3 is not listed on IDEAS
    2. Iraola, Miguel & Torres-Martínez, Juan Pablo, 2013. "Liquidity Contractions, Incomplete Financial Participation and the Prevalence of Negative Equity Non-recourse Loans," MPRA Paper 46838, University Library of Munich, Germany.
    3. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
    4. John Geanakoplos & William Zame, 2014. "Collateral equilibrium, I: a basic framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 443-492, August.
    5. Zhan, Yang & Dang, Chuangyin, 2021. "Determination of general equilibrium with incomplete markets and default penalties," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 49-59.
    6. Ferreira, Thiago Revil T. & Torres-Martínez, Juan Pablo, 2010. "The impossibility of effective enforcement mechanisms in collateralized credit markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 332-342, May.
    7. Miguel A. Iraola & Juan Pablo Torres-Martínez, 2012. "Liquidity Contractions and Prepayment Risk on Collateralized Asset Markets," Working Papers wp364, University of Chile, Department of Economics.
    8. Orrillo, Jaime, 2001. "Default and exogenous collateral in incomplete markets with a continuum of states," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 151-165, February.
    9. Martins-da-Rocha, Victor Filipe & Vailakis, Yiannis, 2010. "Competitive equilibria in infinite-horizon collateralized economies with default penalties," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 703, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    10. Felipe Martins-da-Rocha & Yiannis Vailakis, 2008. "Collateral, default penalties and almost finite-time solvency," Levine's Working Paper Archive 122247000000002049, David K. Levine.
    11. Victor Filipe Martins da Rocha & Rafael Mouallem Rosa, 2023. "Complete Markets with Bankruptcy Risk and Pecuniary Default Penalties," Post-Print hal-02921220, HAL.
    12. Páscoa, Mário Rui & Seghir, Abdelkrim, 2009. "Harsh default penalties lead to Ponzi schemes," Games and Economic Behavior, Elsevier, vol. 65(1), pages 270-286, January.
    13. Yves Balasko & Enrique Kawamura, 2010. "Pareto-Improving Defaul," Working Papers 102, Universidad de San Andres, Departamento de Economia, revised May 2010.
    14. Monique Florenzano, 1999. "General equilibrium of financial markets," Post-Print halshs-00085543, HAL.
    15. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2012. "Endogenous debt constraints in collateralized economies with default penalties," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 1-13.
    16. Bottazzi, Jean-Marc & Luque, Jaime & Páscoa, Mário R., 2012. "Securities market theory: Possession, repo and rehypothecation," Journal of Economic Theory, Elsevier, vol. 147(2), pages 477-500.
    17. Victor Filipe Martins da Rocha & Rafael Mouallem Rosa, 2021. "Complete Markets with Bankruptcy Risk and Pecuniary Default Penalties," Working Papers hal-02921220, HAL.
    18. 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.
    19. V. Filipe Martins-da-Rocha & Rafael Mouallem Rosa, 2023. "Complete markets with bankruptcy risk and pecuniary default punishments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 625-640, April.
    20. Orrilo, Jaime, 2006. "Another Proof of the Existence of GEI Equilibrium with Default and Exogenous Collateral," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 26(1), May.
    21. Gaël Giraud, 2010. "Financial Crashes versus liquidity trap: the dilemma of monetary policy," Documents de travail du Centre d'Economie de la Sorbonne 10014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

    More about this item

    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:fgv:epgrbe:v:67:y:2013:i:3:a:4133. 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: Núcleo de Computação da FGV EPGE (email available below). General contact details of provider: https://edirc.repec.org/data/epgvfbr.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.