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Dynamic Competitive Economies with Complete Markets and Collateral Constraints

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  • Piero Gottardi
  • Felix Kubler

Abstract

In this article we examine the competitive equilibria of a dynamic stochastic economy with complete markets and collateral constraints. We show that, provided the sets of asset pay-offs and of collateral levels are sufficiently rich, the equilibrium allocations with sequential trades and collateral constraints are equivalent to those obtained in Arrow–Debreu markets subject to a series of limited pledgeability constraints. We provide both necessary and sufficient conditions for equilibria to be Pareto efficient and show that when collateral is scarce equilibria are not only Pareto inefficient but 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, for the case of two agents, for the existence of equilibria that have finite support. These equilibria can be computed with arbitrary accuracy and the model is very tractable.

Suggested Citation

  • Piero Gottardi & Felix Kubler, 2015. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," Review of Economic Studies, Oxford University Press, vol. 82(3), pages 1119-1153.
  • Handle: RePEc:oup:restud:v:82:y:2015:i:3:p:1119-1153.
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    File URL: http://hdl.handle.net/10.1093/restud/rdv002
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    Cited by:

    1. Denis Gromb & Dimitri Vayanos, 2018. "The Dynamics of Financially Constrained Arbitrage," Journal of Finance, American Finance Association, vol. 73(4), pages 1713-1750, August.
    2. repec:eee:jfinec:v:131:y:2019:i:3:p:571-592 is not listed on IDEAS
    3. 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.
    4. Piero Gottardi & Arpad Abraham, 2017. "Optimal Asset Division Rules for Dissolving Partnerships," 2017 Meeting Papers 1372, Society for Economic Dynamics.
    5. Suzuki, Shiba, 2018. "Inequality and asset fire sales," MPRA Paper 90906, University Library of Munich, Germany.
    6. Phelan, Gregory & Toda, Alexis Akira, 2019. "Securitized markets, international capital flows, and global welfare," Journal of Financial Economics, Elsevier, vol. 131(3), pages 571-592.
    7. Pham, Ngoc-Sang, 2018. "Credit limits and heterogeneity in general equilibrium models with a finite number of agents," MPRA Paper 88736, University Library of Munich, Germany.
    8. 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.
    9. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    10. 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.
    11. 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.
    12. 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.
    13. repec:eee:corfin:v:48:y:2018:i:c:p:771-796 is not listed on IDEAS
    14. repec:eee:mateco:v:80:y:2019:i:c:p:56-69 is not listed on IDEAS
    15. Ani Guerdjikova & John Quiggin, 2019. "Market Selection with Differential Financial Constraints," Working Papers hal-02005501, HAL.
    16. Guerdjikova, A. & Quiggin, J., 2019. "Market selection with differential financial constraints," Working Papers 2019-01, Grenoble Applied Economics Laboratory (GAEL).
    17. 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.
    18. 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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