The student admissions and faculty recruitment problems are modeled and analyzed in terms of graphs. Stable assignments, potentially exponential in number, form a distributive lattice whose sup and inf are the applicant-optimal and university-optimal stable assignments, mu(A) and mu(U). Which one of all possible stable assignments should be chosen in practice is answered in these terms: mu(A) is characterized as the unique choice mechanism that is either "monotone," or "strategy-proof," or "efficient." Similar characterizations are given for mu(U), though as a practical matter they are not persuasive. (C) 2004 Elsevier B.V. All rights reserved.
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Univ Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Univ Med Ctr Groningen, POB 196, NL-9700 AD Groningen, NetherlandsUniv Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Mulder, B. F.
Erich, M. H.
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Univ Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Univ Med Ctr Groningen, POB 196, NL-9700 AD Groningen, NetherlandsUniv Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Erich, M. H.
Borleffs, J. C. C.
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Univ Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Univ Med Ctr Groningen, POB 196, NL-9700 AD Groningen, NetherlandsUniv Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Borleffs, J. C. C.
Elgersma, A. F.
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Univ Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Univ Med Ctr Groningen, POB 196, NL-9700 AD Groningen, NetherlandsUniv Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Elgersma, A. F.
Cohen-Schotanus, J.
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Univ Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands
Univ Med Ctr Groningen, POB 196, NL-9700 AD Groningen, NetherlandsUniv Groningen, Ctr Res & Innovat Med Educ, POB 196, NL-9700 AD Groningen, Netherlands