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Equilibria in matching markets with soft and hard liquidity constraints

Author

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  • Herings, P. Jean-Jacques
  • Zhou, Yu

Abstract

We consider a one-to-one matching with contracts model in the presence of liquidity constraints on the buyer's side. Liquidity constraints can be either soft or hard. Competitive equilibria do exist in economies with soft liquidity constraints, but not necessarily in the presence of hard liquidity constraints. The limit of a convergent sequence of competitive equilibria in economies with increasingly stringent soft liquidity constraints may fail to be a competitive equilibrium in the limit economy with hard liquidity constraints. We establish equivalence and existence results for two alternative notions of competitive equilibrium, quantity-constrained competitive equilibrium and expectational equilibrium, together with stable outcomes and core outcomes, in economies with both types of liquidity constraints. We argue that these notions of equilibrium and stability do not suffer from discontinuity problems by showing appropriate limit results.

Suggested Citation

  • Herings, P. Jean-Jacques & Zhou, Yu, 2024. "Equilibria in matching markets with soft and hard liquidity constraints," Games and Economic Behavior, Elsevier, vol. 148(C), pages 264-278.
    • Handle: RePEc:eee:gamebe:v:148:y:2024:i:c:p:264-278
    DOI: 10.1016/j.geb.2024.09.014
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    More about this item

    Keywords

    Liquidity constraints; Matching with contracts; Competitive equilibrium; Quantity-constrained competitive equilibrium; Expectational equilibrium; Equivalence result; Limit result;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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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