IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/7477.html
   My bibliography  Save this paper

Indeterminacy of Competitive Equilibrium with Risk of Default

Author

Listed:
  • Reichlin, Pietro
  • Bloise, Gaetano
  • Tirelli, Mario

Abstract

We prove indeterminacy of competitive equilibrium in sequential economies, where limited commitment requires the endogenous determination of solvency constraints preventing debt repudiation (Alvarez and Jermann (2000)). In particular, we show that, for any arbitrary value of social welfare in between autarchy and (constrained) optimality, there exists an equilibrium attaining that value. Our method consists in restoring Welfare Theorems for a weak notion of (constrained) optimality. The latter, inspired by Malinvaud (1953), corresponds to the absence of Pareto improving feasible redistributions over finite (though indefinite) horizons.

Suggested Citation

  • Reichlin, Pietro & Bloise, Gaetano & Tirelli, Mario, 2009. "Indeterminacy of Competitive Equilibrium with Risk of Default," CEPR Discussion Papers 7477, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:7477
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP7477
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    2. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    3. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
    4. Alvarez, Fernando & Jermann, Urban J, 2001. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 14(4), pages 1117-1151.
    5. Andrew Berg & Eduardo Borensztein & Catherine Pattillo, 2005. "Assessing Early Warning Systems: How Have They Worked in Practice?," IMF Staff Papers, Palgrave Macmillan, vol. 52(3), pages 1-5.
    6. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    7. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    8. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    9. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    10. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
    11. Arnold Meadow & Harold J. Vetter, 1959. "Freudian Theory and the Judaic Value System," International Journal of Social Psychiatry, , vol. 5(3), pages 197-207, December.
    12. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    2. Tobias Broer, 2013. "The Wrong Shape of Insurance? What Cross-Sectional Distributions Tell Us about Models of Consumption Smoothing," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(4), pages 107-140, October.
    3. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.

    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. Gaetano Bloise & Pietro Reichlin & Mario Tirelli, 2013. "Fragility of Competitive Equilibrium with Risk of Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 271-295, April.
    2. Gaetano Bloise, 2013. "The structure of competitive equilibrium with unsecured debt," Departmental Working Papers of Economics - University 'Roma Tre' 0187, Department of Economics - University Roma Tre.
    3. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    4. V. Filipe Martins-Da-Rocha & Toan Phan & Yiannis Vailakis, 2022. "Pecuniary Externalities in Competitive Economies with Limited Pledgeability," Working Papers hal-03909596, HAL.
    5. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    6. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    7. S. Viswanathan & Adriano A. Rampini, 2008. "Collateral, Financial Intermediation, and the Distribution of Debt Capacity," 2008 Meeting Papers 116, Society for Economic Dynamics.
    8. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    9. Yili Chien & Junsang Lee, 2006. "Why Tax Capital?," 2006 Meeting Papers 492, Society for Economic Dynamics.
    10. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    11. Emil Iantchev, 2013. "Asset-Pricing Implications of Biologically Based Non-Expected Utility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 497-510, July.
    12. Scholl, Almuth, 2005. "Limited enforceable international loans, international risk sharing and trade," SFB 649 Discussion Papers 2005-055, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    13. YiLi Chien & JunSang Lee, 2006. "Optimal Capital Taxation under Limited Commitment," 2006 Meeting Papers 430, Society for Economic Dynamics.
    14. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    15. Bloise, G. & Citanna, A., 2019. "Asset shortages, liquidity and speculative bubbles," Journal of Economic Theory, Elsevier, vol. 183(C), pages 952-990.
    16. repec:hum:wpaper:sfb649dp2005-055 is not listed on IDEAS
    17. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    18. Zhigang Feng & Jianjun Miao & Adrian Peralta‐Alva & Manuel S. Santos, 2014. "Numerical Simulation Of Nonoptimal Dynamic Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 83-110, February.
    19. Azariadis, Costas & Kaas, Leo, 2013. "Endogenous credit limits with small default costs," Journal of Economic Theory, Elsevier, vol. 148(2), pages 806-824.
    20. Pamela Labadie, 2007. "Anonymity and Individual Risk," 2007 Meeting Papers 637, Society for Economic Dynamics.
    21. Andolfatto, David & Gervais, Martin, 2008. "Endogenous debt constraints in a life-cycle model with an application to social security," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3745-3759, December.

    More about this item

    Keywords

    Debt constraints; Default; Indeterminacy;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cpr:ceprdp:7477. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.