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Robust Design in Monotonic Matching Markets : A Case for Firm-Proposing Deferred-Acceptance

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  • Lars EHLERS
  • Jordi MASSO

Abstract

We study two-sided matching markets among workers and firms. Workers seek one position at a firm but firms may employ several workers. In many applications those markets are monotonic: leaving positions unfilled is costly as for instance, for hospitals this means not being able to provide full service to its patients. A huge literature has advocated the use of stable mechanisms for clearinghouses. The interests among workers and firms are polarized among stable mechanisms, most famously the firm-proposing DA and the worker-proposing DA. We show that for the firm-proposing DA ex-ante incentive compatibility and ex-post incentive compatibility are equivalent whereas this is not necessarily true for the worker-proposing DA. The firm-proposing DA turns out to be more robust than the worker-proposing DA under incomplete information when incentives of both sides of the market are important.

Suggested Citation

  • Lars EHLERS & Jordi MASSO, 2018. "Robust Design in Monotonic Matching Markets : A Case for Firm-Proposing Deferred-Acceptance," Cahiers de recherche 04-2018, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:04-2018
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    References listed on IDEAS

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    More about this item

    Keywords

    many-to-one matching market; stability; incomplete information; monotonic responsive extensions; robust mechanism design;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations

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