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Implementation of college admission rules (*)

Author

Listed:
  • Tayfun Sönmez

    (Department of Economics, University of Michigan, Ann Arbor, MI 48109, USA)

  • Tarik Kara

    (Department of Economics, University of Rochester, Rochester, NY 14627, USA)

Abstract

We consider both Nash and strong Nash implementation of various matching rules for college admissions problems. We show that all such rules are supersolutions of the stable rule. Among these rules the "lower bound" stable rule is implementable in both senses. The "upper bound" Pareto and individually rational rule is strong Nash implementable yet it is not Nash implementable. Two corollaries of interest are the stable rule is the minimal (Nash or strong Nash) implementable solution that is Pareto optimal and individually rational, and the stable rule is the minimal (Nash or strong Nash) implementable extension of any of its subsolutions.

Suggested Citation

  • Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 197-218.
    • Handle: RePEc:spr:joecth:v:9:y:1997:i:2:p:197-218
    Note: Received: August 22, 1994; revised version July 6, 1995
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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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