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The College Admissions Problem Revisited


  • Roth, Alvin E
  • Sotomayor, Marilda


The college admissions problem is perhaps the simplest model of many-to-one matching in two-sided markets, such as labor markets. The authors show that the set of stable outcomes (which is equal to the core defined by weak domination) has some surprising properties not found in models of one-to-one matching. These properties may help to explain the success that this kind of model has had in explaining empirical observations. Copyright 1989 by The Econometric Society.

Suggested Citation

  • Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
  • Handle: RePEc:ecm:emetrp:v:57:y:1989:i:3:p:559-70

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    References listed on IDEAS

    1. Patrick Legros & Andrew F. Newman, 2008. "Competing for Ownership," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1279-1308, December.
    2. Patrick Legros & Andrew F. Newman, 2002. "Monotone Matching in Perfect and Imperfect Worlds," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 925-942.
    3. Kaneko, Mamoru & Wooders, Myrna Holtz, 1996. "The Nonemptiness of the f-Core of a Game without Side Payments," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(2), pages 245-258.
    4. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, March.
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    20. Pierre André Chiappori & Bernard Salanié, 2002. "Testing Contract Theory: A Survey of Some Recent Work," CESifo Working Paper Series 738, CESifo Group Munich.
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    22. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    23. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    24. Simon Clark, 2002. "Uniqueness of Equilibrium in Two-sided Matching," ESE Discussion Papers 84, Edinburgh School of Economics, University of Edinburgh.
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