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Competitive Equilibria in Matching Models with Financial Constraints

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  • Herings, P. Jean-Jacques

    (RS: GSBE Theme Data-Driven Decision-Making, RS: GSBE Theme Conflict & Cooperation, Microeconomics & Public Economics)

  • Zhou, Yu

Abstract

We consider the one-to-one two-sided matching with contracts model in which buyers face financial constraints. In this model there is a stable outcome, but not necessarily a competitive equilibrium as defined in the standard way. We propose a new equilibrium notion, quantity-constrained competitive equilibrium (QCCE) that allows buyers to form rational expectations on the lack of supply when their financial constraints are binding. We show the existence of QCCEs and establish the equivalence among QCCE outcomes, stable outcomes, and core outcomes. We also analyze the existence of QCCEs with uniform prices, the lattice property of QCCEs, and the rural hospital theorem of QCCEs. We finally examine the relation between models with financial constraints and models with price controls.

Suggested Citation

  • Herings, P. Jean-Jacques & Zhou, Yu, 2019. "Competitive Equilibria in Matching Models with Financial Constraints," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2019007
    DOI: 10.26481/umagsb.2019007
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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).

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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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