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Competitive Equilibria In Matching Models With Financial Constraints

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  • P. Jean‐Jacques Herings
  • Yu Zhou

Abstract

We consider a matching with contracts model in which buyers face financial constraints. In this model, a competitive equilibrium may fail to exist. We therefore propose the new notion of quantity‐constrained competitive equilibrium (QCCE). At a QCCE, buyers form expectations about the expected supply of trades. A buyer may expect that a trade is not to be supplied if the corresponding financial constraint is binding. We show the existence of QCCEs via a dynamic process that updates prices and quantity constraints, the equivalence between QCCE outcomes and stable outcomes, and some other properties of QCCEs like the lattice property.

Suggested Citation

  • P. Jean‐Jacques Herings & Yu Zhou, 2022. "Competitive Equilibria In Matching Models With Financial Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 777-802, May.
    • Handle: RePEc:wly:iecrev:v:63:y:2022:i:2:p:777-802
    DOI: 10.1111/iere.12550
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    Cited by:

    1. Klemperer, Paul & Baldwin, Elizabeth & Edhan, Omer & Jagadeesan, Ravi & Teytelboym, Alexander, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," CEPR Discussion Papers 14926, C.E.P.R. Discussion Papers.
    2. Herings, P. Jean-Jacques, 2020. "Expectational Equilibria in Many-to-one Matching Models with Contracts - A Reformulation of Competitive Equilibrium," Research Memorandum 018, Maastricht University, Graduate School of Business and Economics (GSBE).
    3. Hevér, Judit, 2020. "A piaci likviditás és a szabályozás kapcsolatának vizsgálata általános egyensúlyelméleti modellkeretben [The effect of regulation on market liquidity: a general equilibrium approach]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 708-733.
    4. Herings, P. Jean-Jacques & Zhou, Yu, 2021. "Equilibria in Matching Markets with Soft and Hard Liquidity Constraints," Research Memorandum 013, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Herings, P. Jean-Jacques, 2024. "Expectational equilibria in many-to-one matching models with contracts," Journal of Economic Theory, Elsevier, vol. 216(C).

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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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