Core and stability notions in many-to-one matching markets with indifferences

Gespeichert in:

Autor*in:	Bonifacio, Agustín G. [verfasserIn] Juarez, Noelia [verfasserIn] Neme, Pablo [verfasserIn] Oviedo, Jorge [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Schlagwörter:	Core Matching with indifferences Stability Strong core Strong stability Super core Super stability

Übergeordnetes Werk:	Enthalten in: International journal of game theory - Berlin : Springer, 1971, 53(2024), 1 vom: März, Seite 143-157
Übergeordnetes Werk:	volume:53 ; year:2024 ; number:1 ; month:03 ; pages:143-157

Links:	Link aufrufen Link aufrufen

DOI / URN:	10.1007/s00182-023-00865-0

Katalog-ID:	1885604025

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982			\|2 26 \|1 00 \|x DE-206 \|b In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.

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allfields	10.1007/s00182-023-00865-0 doi (DE-627)1885604025 (DE-599)KXP1885604025 DE-627 ger DE-627 rda eng Bonifacio, Agustín G. verfasserin aut Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206 Juarez, Noelia verfasserin aut Neme, Pablo verfasserin aut Oviedo, Jorge verfasserin (DE-588)1325848077 (DE-627)1885605838 aut Enthalten in International journal of game theory Berlin : Springer, 1971 53(2024), 1 vom: März, Seite 143-157 Online-Ressource (DE-627)253724163 (DE-600)1459207-1 (DE-576)072373067 1432-1270 nnns volume:53 year:2024 number:1 month:03 pages:143-157 https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf Verlag lizenzpflichtig https://doi.org/10.1007/s00182-023-00865-0 Resolving-System lizenzpflichtig GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 53 2024 1 3 143-157 26 01 0206 4510494424 x1z 11-04-24 26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
spelling	10.1007/s00182-023-00865-0 doi (DE-627)1885604025 (DE-599)KXP1885604025 DE-627 ger DE-627 rda eng Bonifacio, Agustín G. verfasserin aut Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206 Juarez, Noelia verfasserin aut Neme, Pablo verfasserin aut Oviedo, Jorge verfasserin (DE-588)1325848077 (DE-627)1885605838 aut Enthalten in International journal of game theory Berlin : Springer, 1971 53(2024), 1 vom: März, Seite 143-157 Online-Ressource (DE-627)253724163 (DE-600)1459207-1 (DE-576)072373067 1432-1270 nnns volume:53 year:2024 number:1 month:03 pages:143-157 https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf Verlag lizenzpflichtig https://doi.org/10.1007/s00182-023-00865-0 Resolving-System lizenzpflichtig GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 53 2024 1 3 143-157 26 01 0206 4510494424 x1z 11-04-24 26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
allfields_unstemmed	10.1007/s00182-023-00865-0 doi (DE-627)1885604025 (DE-599)KXP1885604025 DE-627 ger DE-627 rda eng Bonifacio, Agustín G. verfasserin aut Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206 Juarez, Noelia verfasserin aut Neme, Pablo verfasserin aut Oviedo, Jorge verfasserin (DE-588)1325848077 (DE-627)1885605838 aut Enthalten in International journal of game theory Berlin : Springer, 1971 53(2024), 1 vom: März, Seite 143-157 Online-Ressource (DE-627)253724163 (DE-600)1459207-1 (DE-576)072373067 1432-1270 nnns volume:53 year:2024 number:1 month:03 pages:143-157 https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf Verlag lizenzpflichtig https://doi.org/10.1007/s00182-023-00865-0 Resolving-System lizenzpflichtig GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 53 2024 1 3 143-157 26 01 0206 4510494424 x1z 11-04-24 26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
allfieldsGer	10.1007/s00182-023-00865-0 doi (DE-627)1885604025 (DE-599)KXP1885604025 DE-627 ger DE-627 rda eng Bonifacio, Agustín G. verfasserin aut Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206 Juarez, Noelia verfasserin aut Neme, Pablo verfasserin aut Oviedo, Jorge verfasserin (DE-588)1325848077 (DE-627)1885605838 aut Enthalten in International journal of game theory Berlin : Springer, 1971 53(2024), 1 vom: März, Seite 143-157 Online-Ressource (DE-627)253724163 (DE-600)1459207-1 (DE-576)072373067 1432-1270 nnns volume:53 year:2024 number:1 month:03 pages:143-157 https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf Verlag lizenzpflichtig https://doi.org/10.1007/s00182-023-00865-0 Resolving-System lizenzpflichtig GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 53 2024 1 3 143-157 26 01 0206 4510494424 x1z 11-04-24 26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
allfieldsSound	10.1007/s00182-023-00865-0 doi (DE-627)1885604025 (DE-599)KXP1885604025 DE-627 ger DE-627 rda eng Bonifacio, Agustín G. verfasserin aut Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206 Juarez, Noelia verfasserin aut Neme, Pablo verfasserin aut Oviedo, Jorge verfasserin (DE-588)1325848077 (DE-627)1885605838 aut Enthalten in International journal of game theory Berlin : Springer, 1971 53(2024), 1 vom: März, Seite 143-157 Online-Ressource (DE-627)253724163 (DE-600)1459207-1 (DE-576)072373067 1432-1270 nnns volume:53 year:2024 number:1 month:03 pages:143-157 https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf Verlag lizenzpflichtig https://doi.org/10.1007/s00182-023-00865-0 Resolving-System lizenzpflichtig GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 53 2024 1 3 143-157 26 01 0206 4510494424 x1z 11-04-24 26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.
language	English
source	Enthalten in International journal of game theory 53(2024), 1 vom: März, Seite 143-157 volume:53 year:2024 number:1 month:03 pages:143-157
sourceStr	Enthalten in International journal of game theory 53(2024), 1 vom: März, Seite 143-157 volume:53 year:2024 number:1 month:03 pages:143-157
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institution	findex.gbv.de
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topic_facet	Core Matching with indifferences Stability Strong core Strong stability Super core Super stability
sw_local_iln_str_mv	26: DE-206:
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container_title	International journal of game theory
authorswithroles_txt_mv	Bonifacio, Agustín G. @@aut@@ Juarez, Noelia @@aut@@ Neme, Pablo @@aut@@ Oviedo, Jorge @@aut@@
publishDateDaySort_date	2024-03-01T00:00:00Z
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ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">00</subfield><subfield code="x">DE-206</subfield><subfield code="b">In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.</subfield></datafield></record></collection>
author	Bonifacio, Agustín G.
spellingShingle	Bonifacio, Agustín G. misc Core misc Matching with indifferences misc Stability misc Strong core misc Strong stability misc Super core misc Super stability Core and stability notions in many-to-one matching markets with indifferences
authorStr	Bonifacio, Agustín G.
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topic_title	26 00 DE-206 In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo Core (dpeaa)DE-206 Matching with indifferences (dpeaa)DE-206 Stability (dpeaa)DE-206 Strong core (dpeaa)DE-206 Strong stability (dpeaa)DE-206 Super core (dpeaa)DE-206 Super stability (dpeaa)DE-206
topic	misc Core misc Matching with indifferences misc Stability misc Strong core misc Strong stability misc Super core misc Super stability
topic_unstemmed	misc Core misc Matching with indifferences misc Stability misc Strong core misc Strong stability misc Super core misc Super stability
topic_browse	misc Core misc Matching with indifferences misc Stability misc Strong core misc Strong stability misc Super core misc Super stability
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title	Core and stability notions in many-to-one matching markets with indifferences
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title_full	Core and stability notions in many-to-one matching markets with indifferences Agustín G. Bonifacio, Noelia Juarez, Pablo Neme, Jorge Oviedo
author_sort	Bonifacio, Agustín G.
journal	International journal of game theory
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author_browse	Bonifacio, Agustín G. Juarez, Noelia Neme, Pablo Oviedo, Jorge
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author-letter	Bonifacio, Agustín G.
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title_sort	core and stability notions in many-to-one matching markets with indifferences
title_auth	Core and stability notions in many-to-one matching markets with indifferences
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title_short	Core and stability notions in many-to-one matching markets with indifferences
url	https://link.springer.com/content/pdf/10.1007/s00182-023-00865-0.pdf https://doi.org/10.1007/s00182-023-00865-0
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author2	Juarez, Noelia Neme, Pablo Oviedo, Jorge
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doi_str	10.1007/s00182-023-00865-0
up_date	2024-07-04T17:40:05.361Z
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code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4336</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4393</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">53</subfield><subfield code="j">2024</subfield><subfield code="e">1</subfield><subfield code="c">3</subfield><subfield code="h">143-157</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">01</subfield><subfield code="x">0206</subfield><subfield code="b">4510494424</subfield><subfield code="y">x1z</subfield><subfield code="z">11-04-24</subfield></datafield><datafield tag="982" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">00</subfield><subfield code="x">DE-206</subfield><subfield code="b">In a many-to-one matching model with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the strong core coincides with the strongly stable set, and (iii) the super core coincides with the super stable set. We also show how the core and the strong core in markets with indifferences relate to the stable matchings of their associated tie-breaking strict markets.</subfield></datafield></record></collection>
score	7.3990107

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Core and stability notions in many-to-one matching markets with indifferences

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