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Indeterminacy of competitive equilibrium with risk of default

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  • Gaetano Bloise
  • Pietro Reichlin
  • Mario Tirelli

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 [3]). 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 [15], corresponds to the absence of Pareto improving feasible redistributions over nite (though inde nite) horizons.

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Bibliographic Info

Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0109.

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Length: 23
Date of creation: 2009
Date of revision:
Handle: RePEc:rtr:wpaper:0109

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Keywords: imited commitment; solvency constraints; Malinvaud efficiency Welfare Theorems; indeterminacy; Welfare Theorems; indeterminacy; Welfare Theorems indeterminacy; financial fragility; market collapse;

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  1. Kocherlakota, Narayana R, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 63(4), pages 595-609, October.
  2. Timothy J. Kehoe & David K. Levine, 1982. "Comparitive Statics and Perfect Foresight in Infinite Horizon Economies," UCLA Economics Working Papers 259, UCLA Department of Economics.
  3. David K. Levine & William R. Zame, 1992. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 666, UCLA Department of Economics.
  4. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-23.
  5. Fernando Alvarez & Urban J. Jermann, . "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," Rodney L. White Center for Financial Research Working Papers 10-99, Wharton School Rodney L. White Center for Financial Research.
  6. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  7. 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.
  8. Bloise, Gaetano & Reichlin, Pietro, 2008. "Asset Prices, Debt Constraints and Inefficiency," CEPR Discussion Papers 6779, C.E.P.R. Discussion Papers.
  9. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
  10. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
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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, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
  3. Broer, Tobias, 2011. "The wrong shape of insurance? What cross-sectional distributions tell us about models of consumption-smoothing," CEPR Discussion Papers 8701, C.E.P.R. Discussion Papers.

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