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Indeterminacy of Competitive Equilibrium with Risk of Default

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

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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  1. 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.
  2. Fernando Alvarez & Urban J. Jermann, 1999. "Quantitative asset pricing implications of endogenous solvency constraints," Working Papers 99-5, Federal Reserve Bank of Philadelphia.
  3. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  4. David K. Levine & William Zame, 1996. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," Levine's Working Paper Archive 1954, David K. Levine.
  5. Kocherlakota, Narayana R, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 63(4), pages 595-609, October.
  6. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
  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. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-53, March.
  9. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
  10. Diamond, Douglas W & Dybvig, Philip H, 1983. "Bank Runs, Deposit Insurance, and Liquidity," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 401-19, June.
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