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Dynamic Competitive Economies with Complete Markets and Collateral Constraints

Author

Listed:
  • Felix Kubler

    (University of Zurich and SFI)

  • Piero Gottardi

    (European University Institute)

Abstract

In this paper we examine the competitive equilibria of a dynamic stochastic economy with complete markets. We show that the completeness of the market requires both the set of asset payoffs and collateral levels to be sufficiently rich, so as to allow to decentralize the equilibrium allocations obtained in Arrow-Debreu markets subject to a series of appropriate limited pledgeability constraints. We provide then sufficient conditions for equilibria to be Pareto efficient and show that when collateral is scarce equilibria are also often constrained inefficient, in the sense that imposing tighter borrowing restrictions can make everybody in the economy better off. We derive sufficient conditions for the existence of Markov equilibria and show that they often have finite support. The model is then tractable and its equilibria can be computed with arbitrary accuracy. We carry out on this basis a quantitative assessment of the risk sharing and efficiency properties of equilibria.

Suggested Citation

  • Felix Kubler & Piero Gottardi, 2012. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," 2012 Meeting Papers 467, Society for Economic Dynamics.
  • Handle: RePEc:red:sed012:467
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    References listed on IDEAS

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    1. repec:fth:starer:98-25 is not listed on IDEAS
    2. Kubler, Felix & Schmedders, Karl, 2002. "Recursive Equilibria In Economies With Incomplete Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 6(02), pages 284-306, April.
    3. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
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    6. Felix Kubler & Karl Schmedders, 2001. "Incomplete Markets, Transitory Shocks, and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 747-766, October.
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    Cited by:

    1. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.
    2. Piero Gottardi & Arpad Abraham, 2017. "Optimal Asset Division Rules for Dissolving Partnerships," 2017 Meeting Papers 1372, Society for Economic Dynamics.
    3. Vincent Maurin & Cyril Monnet & Piero Gottardi, 2016. "A Theory of Repurchase Agreement, Collateral Re-use, and Repo Intermediation," 2016 Meeting Papers 417, Society for Economic Dynamics.
    4. Bloise, Gaetano & Vailakis, Yiannis & Polemarchakis, Herakles, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    5. Gong Feixue & Gregory Phelan, 2017. "Debt Collateralization, Structured Finance, and the CDS Basis," Department of Economics Working Papers 2017-06, Department of Economics, Williams College.
    6. Bloise, Gaetano & Citanna, Alessandro, 2015. "Uniqueness of competitive equilibrium with solvency constraints under gross-substitution," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 287-295.
    7. 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.
    8. Athanasios Geromichalos & Jiwon Lee & Seungduck Lee & Keita Oikawa, 2014. "Over-the-Counter Trade and the Value of Assets as Collateral," Working Papers 143, University of California, Davis, Department of Economics.
    9. Miguel Leon-Ledesma & Jaime Orrillo, 2016. "Production and Endogenous Bankruptcy under Collateral Constraints," Studies in Economics 1610, School of Economics, University of Kent.

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