Stability, Strategy-Proofness, and Cumulative Offer Mechanisms.

We characterize when a stable and strategy-proof mechanism is guaranteed to exist in the setting of many-to-one matching with contracts. We introduce three novel conditions—observable substitutability, observable size monotonicity, and non-manipulability via contractual terms—and show that when thes...

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Bibliographic Details
Published in:Review of Economic Studies Vol. 88; no. 3; pp. 1457 - 1503
Main Authors: Hatfield, John William, Kominers, Scott Duke, Westkamp, Alexander
Format: Article
Published: Oxford University Press / USA May2021
Subjects:
Online Access:View this record in EBSCOhost
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      dt: May2021
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        atl: Stability, Strategy-Proofness, and Cumulative Offer Mechanisms.
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        au:
          Hatfield, John William
          Kominers, Scott Duke
          Westkamp, Alexander
        affil:
          McCombs School of Business, University of Texas at Austin
          Harvard Business School & Department of Economics, Harvard University
          Department of Management, Economics, and Social Sciences , University of Cologne
      su:
        Contracts
        Business enterprises
        Suretyship & guaranty
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        subj:
          Contracts
          Business enterprises
          Suretyship & guaranty
      ab: We characterize when a stable and strategy-proof mechanism is guaranteed to exist in the setting of many-to-one matching with contracts. We introduce three novel conditions—observable substitutability, observable size monotonicity, and non-manipulability via contractual terms—and show that when these conditions are satisfied, the cumulative offer mechanism is the unique mechanism that is stable and strategy-proof (for workers). Moreover, we show that our three conditions are, in a sense, necessary: if the choice function of some firm fails any of our three conditions, we can construct unit-demand choice functions for the other firms such that no stable and strategy-proof mechanism exists. Thus, our results provide a rationale for the ubiquity of cumulative offer mechanisms in practice.
      pubtype: Academic Journal
      doctype: Article
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    language: English
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