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Indeterminacy of Competitive Equilibrium with Risk of Default

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  • Bloise, Gaetano
  • Reichlin, Pietro
  • 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.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7477.

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Date of creation: Sep 2009
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Handle: RePEc:cpr:ceprdp:7477

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Keywords: Debt Constraints; Default; Indeterminacy;

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  1. 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.
  2. Gaetano Bloise & Pietro Reichlin, 2008. "Asset Prices, Debt Constraints and Inefficiency," EIEF Working Papers Series 0803, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2008.
  3. 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.
  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. Timothy J Kehoe & David K Levine, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Levine's Working Paper Archive 1873, David K. Levine.
  6. Narayana R. Kocherlakota, 2006. "Injecting Rational Bubbles," Levine's Bibliography 122247000000000905, UCLA Department of Economics.
  7. Narayana Kocherlakota, 2010. "Implications of Efficient Risk Sharing Without Commitment," Levine's Working Paper Archive 2053, David K. Levine.
  8. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  9. Fernando Alvarez & Urban J. Jermann, 1999. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," NBER Working Papers 6953, National Bureau of Economic Research, Inc.
  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. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
  2. 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.
  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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