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Abstrakty
In the paper we describe the model of Gale and Shapley concerning marriage matchings and college admissions (American Mathematical Monthly, 69 (1962), 9-15). We review some results and applications of the Gale-Shapley theory. We also analyze problems of recruitment of candidates to schools in Poland from the point of view of this theory.
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Rocznik
Tom
Strony
35--46
Opis fizyczny
Bibliogr. 29 poz.,
Twórcy
autor
- Wydział Matematyki, Informatyki i Ekonometrii Uniwersytet Zielonogórski ul. Szafrana 4a, 65-516 Zielona Góra
Bibliografia
- [AC96] B. Aldershof, O.M. Carducci, Stable matchings with couples, Discrete Applied Mathematics, 68 (1996), 203-207.
- [ADG03] M. Anholcer, W. Dymowski, M. Godlewski, Optymalny przydział studentów do specjalności jako wariant zagadnienia doboru małżeństw, w: Metody i zastosowania badań operacyjnych 2002 (red. A. Całczyński), Wyd. Politechniki Radomskiej, Radom, 2003, 31-42.
- [AG03] A. Alkan, D. Gale, Stable Schedule matching under revealed preference, Journal of Economic Theory, 112 (2003), 289-306.
- [Bla84] C. Blair, Every Finite Distributive Lattice is a Set of Stable Matchings, Journal of Combinatorial Theory (A), 37 (1984), 353-356.
- [BR00] C.T. Bergstrom, L.A. Real, Toward a theory of mutual mate choice: Lessons from two-sided matching, Evolutionary Ecology Research, 2 (2000), 493- 508.
- [CK81] V.P. Crawford, E.M. Knoer, Job matching with heterogeneous firms and workers, Econometrica, 49 (1981), 437-450.
- [CS06] Y. Chen, T. Sonmez, School choice: an experimental study, Journal of Economic Theory, 127 (2006), 202-231.
- [DF81] L.E. Dubins, D.A. Freedman, Machiauelli and the Gale-Shapley algorithm, American Mathematical Monthly, 88 (1981), 485-494.
- [ES06] H. Ergin, T. Sonmez, Games of school choice under the Boston mechanism, Journal of Public Economics, 90 (2006), 215-237.
- [Fle03] T. Fleiner, A fixed-point approach to stable matchings and some applications, Mathematics of Operations Research, 28 (2003), 103-126.
- [FQ05] M. Fafchamps, A. Quisumbing, Assets at marriage in rural Ethiopia, Journal of Development Economics, 77 (2005), 1-25.
- [GalOl] D. Gale, The two-sided matching problem. Origin, development and current issues, International Game Theory Review, 3 (2001), 237-252.
- [GI89] D. Gusfield, R.W. Irving, The Stable Marriage Problem: Structure and Algorithms, MIT Press, Cambridge, MA, 1989.
- [GNOI] W.R. Gates, M.E. Nissen, Designing Agent-Based Electronic Employment Market, Electronic Commerce Research, 1 (2001), 239-263.
- [GS62] D. Gale, L.S. Shap1ey, College Admissions and the Stability of Marriage, American Mathematical Monthly, 69 (1962), 9-15.
- [GI89] D. Gusfield, R.W. Irving, The Stable Marriage Problem: Structure and Algorithms, MIT Press, Cambridge, MA, 1989.
- [Had99] G.K. Hadfield, A coordination model of the sexual division of labor, Journal of Economic Behavior and Organization 40 (1999), 125-153.
- [IL87] R.W. Irving, P. Leather, The Complexity of Counting Stable Marriages, SIAM Journal of Computing, 15 (1987), 532-543.
- [Kas07] A. Kaszkowiak, Sprawiedliwa rekrutacja, Delta, 2 (2007), 5-6.
- [KC82] A.S. Kelso, V.P. Crawford, Job matching, coalition formation and gross substitutes, Econometrica, 50 (1982), 1483-1504.
- [KK02] B. Klaus, F. Klijn, Stable matchings and preferences of couples, Journal of Economic Theory, 121 (2005), 75-106.
- [Knu97] D.E. Knuth, Stable Marriage and Its Relation to other Combinatorial Problems. An Introduction to the Mathematical Analysis of Algorithms, American Mathematical Society, Providence, Rhode Island, 1997.
- [MIM02] D.F. Manlove, R.W. Irving, K. Iwama, S. Miyazaki, Y. Morita, Hard variants of stable marriage, Theoretical Computer Science, 276 (2002), 261-279.
- [MR91] S. Mongell, A.E. Roth, Sorority Rush as a Two-Sided Matching Mechanism, The American Economic Review, 81 (1991), 441-464.
- [Paw00] J. Pawłowski, Żeby w wyniku naboru nikt nie poczuł się „nabrany”. Rodzicielskie refleksje po egzaminach do szkół średnich, Biuletyn Informacyjny. Informatyka dla szkoły, 31 (2000) ().
- [Rot84] A.E. Roth, The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory, Journal of Political Economy, 92 (1984), 991-1016.
- [Rot91] A.E. Roth, A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom, The American Economic Review, 81 (1991), 415-440.
- [RS92] A.E. Roth, M.A. Sotomayor, Two-sided matching. A study in game-theoretic modeling and analysis, Cambridge University Press, 1992.
- [Swi05] Z. Switalski, Optymalny system rekrutacji kandydatów do szkół, Badania Operacyjne i Decyzje, 3-4 (2005), 85-98.
Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-8626a7f8-0045-42f9-8900-4c5d1ae41b29