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Volumn 31, Issue 3, 2006, Pages 581-596

Many-to-one stable matching: Geometry and fairness

Author keywords

Fairness; Linear programming; Matching with couples; Randomized rounding; Stable matching; Two sided market; University admissions

Indexed keywords

FAIRNESS; MATCHING WITH COUPLES; RANDOMIZED ROUNDING; STABLE MATCHING; TWO SIDED MARKET; UNIVERSITY ADMISSIONS;

EID: 33748416208     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1060.0207     Document Type: Article
Times cited : (79)

References (39)
  • 1
    • 27644446925 scopus 로고    scopus 로고
    • College admissions with affirmative action
    • Abdulkadiroǧlu, A. 2005. College admissions with affirmative action. Internat. J. Game Theory 33 535-549.
    • (2005) Internat. J. Game Theory , vol.33 , pp. 535-549
    • Abdulkadiroǧlu, A.1
  • 2
    • 0034381905 scopus 로고    scopus 로고
    • On a characterization of stable matchings
    • Adachi, H. 2000. On a characterization of stable matchings. Econom. Lett. 68(1) 43-49.
    • (2000) Econom. Lett. , vol.68 , Issue.1 , pp. 43-49
    • Adachi, H.1
  • 5
    • 0002054924 scopus 로고    scopus 로고
    • Many-to-many matching: Stable polyandrous polygamy (or polygamous polyandry)
    • Baïou, M., M. L. Balinski. 2000. Many-to-many matching: Stable polyandrous polygamy (or polygamous polyandry). Discrete Appl. Math. 101(1-3) 1-12.
    • (2000) Discrete Appl. Math. , vol.101 , Issue.1-3 , pp. 1-12
    • Baïou, M.1    Balinski, M.L.2
  • 7
    • 0031371586 scopus 로고    scopus 로고
    • On stable marriages and graphs, and strategy and polytopes
    • Balinski, M., G. Ratier. 1997. On stable marriages and graphs, and strategy and polytopes. SIAM Rev. 39(4) 575-604.
    • (1997) SIAM Rev. , vol.39 , Issue.4 , pp. 575-604
    • Balinski, M.1    Ratier, G.2
  • 9
    • 28244449840 scopus 로고    scopus 로고
    • Fair procedures: Evidence from games involving lotteries
    • Bolton, G. E., J. Brandts, A. Ockenfels. 2005. Fair procedures: Evidence from games involving lotteries. Econom. J. 115 1054-1076.
    • (2005) Econom. J. , vol.115 , pp. 1054-1076
    • Bolton, G.E.1    Brandts, J.2    Ockenfels, A.3
  • 10
    • 0001079228 scopus 로고
    • Anomalies: Ultimatums, dictators and manners
    • Camerer, C., R. H. Thaler. 1995. Anomalies: ultimatums, dictators and manners. J. Econom. Perspect. 9(2) 209-219.
    • (1995) J. Econom. Perspect. , vol.9 , Issue.2 , pp. 209-219
    • Camerer, C.1    Thaler, R.H.2
  • 11
    • 33748440053 scopus 로고    scopus 로고
    • Matching markets: The particular case of couples
    • Cantala, D. 2004. Matching markets: The particular case of couples. Econom. Bull. 3(45) 1-11.
    • (2004) Econom. Bull. , vol.3 , Issue.45 , pp. 1-11
    • Cantala, D.1
  • 12
    • 0026938342 scopus 로고
    • A new fixed point approach for stable networks and stable marriages
    • Feder, T. 1992. A new fixed point approach for stable networks and stable marriages. J. Comput. Systems Sci. 45(2) 233-284.
    • (1992) J. Comput. Systems Sci. , vol.45 , Issue.2 , pp. 233-284
    • Feder, T.1
  • 13
    • 0011365675 scopus 로고
    • Stable networks and product graphs
    • Feder, T. 1995. Stable networks and product graphs. Memoirs Amer. Math. Soc. 116(555).
    • (1995) Memoirs Amer. Math. Soc. , vol.116 , Issue.555
    • Feder, T.1
  • 14
    • 35248848009 scopus 로고    scopus 로고
    • Some results on stable matchings and fixed points
    • EGRES, Budapest, Hungary
    • Fleiner, T. 2002. Some results on stable matchings and fixed points. TR-2002-08, EGRES, Budapest, Hungary.
    • (2002) TR-2002-08
    • Fleiner, T.1
  • 15
    • 0038638952 scopus 로고    scopus 로고
    • A fixed-point approach to stable matchings and some applications
    • Fleiner, T. 2003. A fixed-point approach to stable matchings and some applications. Math. Oper. Res. 28(1) 103-126.
    • (2003) Math. Oper. Res. , vol.28 , Issue.1 , pp. 103-126
    • Fleiner, T.1
  • 16
    • 0141688412 scopus 로고    scopus 로고
    • The stable b-matching polytope
    • Fleiner, T. 2003. The stable b-matching polytope. Math. Soc. Sci. 46(2) 149-158.
    • (2003) Math. Soc. Sci. , vol.46 , Issue.2 , pp. 149-158
    • Fleiner, T.1
  • 17
    • 0003165311 scopus 로고
    • College admissions and the stability of marriage
    • Gale, D., L. S. Shapley. 1962. College admissions and the stability of marriage. Amer. Math. Monthly 69 9-15.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 9-15
    • Gale, D.1    Shapley, L.S.2
  • 20
    • 13944250381 scopus 로고    scopus 로고
    • Stable matchings and preferences of couples
    • Klaus, B., F. Klijn. 2005. Stable matchings and preferences of couples. J. Econom. Theory 121(1) 75-106.
    • (2005) J. Econom. Theory , vol.121 , Issue.1 , pp. 75-106
    • Klaus, B.1    Klijn, F.2
  • 21
    • 33748432814 scopus 로고    scopus 로고
    • Median stable matching for college admissions
    • Universitat Autonoma de Barcelona, Barcelona, Spain
    • Klaus, B., F. Klijn. 2004. Median stable matching for college admissions. Working paper, Universitat Autonoma de Barcelona, Barcelona, Spain.
    • (2004) Working Paper
    • Klaus, B.1    Klijn, F.2
  • 22
    • 18144426130 scopus 로고    scopus 로고
    • Procedurally fair and stable matching
    • Klaus, B., F. Klijn. 2006. Procedurally fair and stable matching. Econom. Theory 27(2) 431-447.
    • (2006) Econom. Theory , vol.27 , Issue.2 , pp. 431-447
    • Klaus, B.1    Klijn, F.2
  • 23
    • 13944249842 scopus 로고    scopus 로고
    • Some things couples always wanted to know about stable matchings (but were afraid to ask)
    • Universitat Autonoma de Barcelona, Barcelona, Spain
    • Klaus, B., F. Klijn, J. Masso. 2003. Some things couples always wanted to know about stable matchings (but were afraid to ask). Working paper, Universitat Autonoma de Barcelona, Barcelona, Spain.
    • (2003) Working Paper
    • Klaus, B.1    Klijn, F.2    Masso, J.3
  • 24
    • 0003201317 scopus 로고    scopus 로고
    • Stable marriage and its relation to other combinatorial problems: An introduction to the mathematical analysis of algorithms
    • American Mathematical Society, Providence, RI. (Translated from French by Martin Goldstein and revised by the author)
    • Knuth, Donald E. 1997. Stable marriage and its relation to other combinatorial problems: An introduction to the mathematical analysis of algorithms. CRM Proc. Lecture Notes, Vol. 10. American Mathematical Society, Providence, RI. (Translated from French by Martin Goldstein and revised by the author.)
    • (1997) CRM Proc. Lecture Notes , vol.10
    • Knuth, D.E.1
  • 25
    • 0030305643 scopus 로고    scopus 로고
    • On randomized matching mechanisms
    • Ma, J. 1996. On randomized matching mechanisms. Econom. Theory 8 377-381.
    • (1996) Econom. Theory , vol.8 , pp. 377-381
    • Ma, J.1
  • 27
    • 27244456480 scopus 로고    scopus 로고
    • Equitable selection in bilateral matching markets
    • Romero-Medina, A. 2005. Equitable selection in bilateral matching markets. Theory Decision. 58(3) 305-324.
    • (2005) Theory Decision. , vol.58 , Issue.3 , pp. 305-324
    • Romero-Medina, A.1
  • 28
    • 84936379779 scopus 로고
    • The evolution of the labor market for medical interns and residents: A case study in game theory
    • Roth, A. E. 1984. The evolution of the labor market for medical interns and residents: A case study in game theory. J. Political Econom. 92(6) 991-1016.
    • (1984) J. Political Econom. , vol.92 , Issue.6 , pp. 991-1016
    • Roth, A.E.1
  • 29
    • 0000464910 scopus 로고
    • On the allocation of residents to rural hospitals: A general property of two-sided matching markets
    • Roth, A. E. 1986. On the allocation of residents to rural hospitals: A general property of two-sided matching markets. Econometrica 54(2) 425-428.
    • (1986) Econometrica , vol.54 , Issue.2 , pp. 425-428
    • Roth, A.E.1
  • 30
    • 0030884221 scopus 로고    scopus 로고
    • The effects of the change in the NRMP matching algorithm
    • Roth, A. E., E. Peranson. 1997. The effects of the change in the NRMP matching algorithm. J. Amer. Medical Association 278(9) 729-732.
    • (1997) J. Amer. Medical Association , vol.278 , Issue.9 , pp. 729-732
    • Roth, A.E.1    Peranson, E.2
  • 31
    • 0001603413 scopus 로고    scopus 로고
    • The redesign of the matching market for american physicians: Some engineering aspects of economic design
    • Roth, A. E., E. Peranson. 1999. The redesign of the matching market for american physicians: Some engineering aspects of economic design. Amer. Econom. Rev. 89(4) 748-780.
    • (1999) Amer. Econom. Rev. , vol.89 , Issue.4 , pp. 748-780
    • Roth, A.E.1    Peranson, E.2
  • 33
    • 0001178026 scopus 로고
    • The college admissions problem revisited
    • Roth, A. E., M. Sotomayor. 1989. The college admissions problem revisited. Econometrica 57 559-570.
    • (1989) Econometrica , vol.57 , pp. 559-570
    • Roth, A.E.1    Sotomayor, M.2
  • 34
    • 0008667099 scopus 로고
    • Stable matching, optimal assignments and linear programming
    • Roth, A. E., U. G. Rothblum, J. H. Vande Vate. 1993. Stable matching, optimal assignments and linear programming. Math. Oper. Res. 18 808-828.
    • (1993) Math. Oper. Res. , vol.18 , pp. 808-828
    • Roth, A.E.1    Rothblum, U.G.2    Vande Vate, J.H.3
  • 35
    • 0001070495 scopus 로고
    • Random paths to stability in two-sided matching
    • Roth, A. E., J. H. Vande Vate. 1990. Random paths to stability in two-sided matching. Econometrica 58 1475-1480.
    • (1990) Econometrica , vol.58 , pp. 1475-1480
    • Roth, A.E.1    Vande Vate, J.H.2
  • 36
    • 0026810076 scopus 로고
    • Characterization of stable matchings as extreme points of a polytope
    • Rothblum, U. G. 1992. Characterization of stable matchings as extreme points of a polytope. Math. Programming 54 57-67.
    • (1992) Math. Programming , vol.54 , pp. 57-67
    • Rothblum, U.G.1
  • 37
    • 0028483459 scopus 로고
    • A new approach to stable matching problems
    • Subramanian, A. 1994. A new approach to stable matching problems. SIAM J. Comput. 23 671-700.
    • (1994) SIAM J. Comput. , vol.23 , pp. 671-700
    • Subramanian, A.1
  • 38
    • 0032207726 scopus 로고    scopus 로고
    • The geometry of fractional stable matchings and its applications
    • Teo, C. P., Jay Sethuraman. 1998. The geometry of fractional stable matchings and its applications. Math. Oper. Res. 23(4) 874-891.
    • (1998) Math. Oper. Res. , vol.23 , Issue.4 , pp. 874-891
    • Teo, C.P.1    Sethuraman, J.2
  • 39
    • 0024683522 scopus 로고
    • Linear programming brings marital bliss
    • Vande Vate, J. H. 1989. Linear programming brings marital bliss. Oper. Res. Lett. 8 147-153.
    • (1989) Oper. Res. Lett. , vol.8 , pp. 147-153
    • Vande Vate, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.