{"id":"https://openalex.org/W3188728932","doi":"https://doi.org/10.1007/s00186-021-00748-8","title":"Marginality and convexity in partition function form games","display_name":"Marginality and convexity in partition function form games","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3188728932","doi":"https://doi.org/10.1007/s00186-021-00748-8","mag":"3188728932"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-021-00748-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-021-00748-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-021-00748-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00186-021-00748-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088057393","display_name":"J. M. Alonso-Meijide","orcid":"https://orcid.org/0000-0002-8723-1404"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Alonso-Meijide","raw_affiliation_strings":["Dept. de Estat\u00edstica, An\u00e1lise Matem\u00e1tica e Optimizaci\u00f3n, Universidade de Santiago de Compostela, Lugo, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. de Estat\u00edstica, An\u00e1lise Matem\u00e1tica e Optimizaci\u00f3n, Universidade de Santiago de Compostela, Lugo, Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035016765","display_name":"Mikel \u00c1lvarez-Mozos","orcid":"https://orcid.org/0000-0002-8457-4647"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. \u00c1lvarez-Mozos","raw_affiliation_strings":["Departament de Matem\u00e0tica Econ\u00f2mica, Financera i Actuarial, BEAT, Universitat de Barcelona, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Econ\u00f2mica, Financera i Actuarial, BEAT, Universitat de Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013011897","display_name":"M. Gloria Fiestras-Janeiro","orcid":"https://orcid.org/0000-0002-2705-0601"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. G. Fiestras-Janeiro","raw_affiliation_strings":["Universidade de Vigo, Departamento de Estat\u00edstica e Investigaci\u00f3n Operativa, Vigo, Spain"],"affiliations":[{"raw_affiliation_string":"Universidade de Vigo, Departamento de Estat\u00edstica e Investigaci\u00f3n Operativa, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030098410","display_name":"A. Jim\u00e9nez-Losada","orcid":"https://orcid.org/0000-0002-7571-1240"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Jim\u00e9nez-Losada","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada II, IMUS, Universidad de Sevilla, Seville, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II, IMUS, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013011897"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.5919,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81659652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"94","issue":"1","first_page":"99","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.9508891701698303},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.7945886254310608},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.7334439754486084},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6172670722007751},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5683374404907227},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.5092231035232544},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4763617515563965},{"id":"https://openalex.org/keywords/externality","display_name":"Externality","score":0.47094783186912537},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4528166353702545},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4463370442390442},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4444117248058319},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4399794936180115},{"id":"https://openalex.org/keywords/cooperative-game-theory","display_name":"Cooperative game theory","score":0.4320828318595886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41619938611984253},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.38974589109420776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2720833122730255},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.12934988737106323},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.07607755064964294},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05678471922874451}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9508891701698303},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7945886254310608},{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.7334439754486084},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6172670722007751},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5683374404907227},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.5092231035232544},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4763617515563965},{"id":"https://openalex.org/C16118543","wikidata":"https://www.wikidata.org/wiki/Q275372","display_name":"Externality","level":2,"score":0.47094783186912537},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4528166353702545},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4463370442390442},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4444117248058319},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4399794936180115},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.4320828318595886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41619938611984253},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.38974589109420776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2720833122730255},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12934988737106323},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.07607755064964294},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05678471922874451},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00186-021-00748-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-021-00748-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-021-00748-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:mathme:v:94:y:2021:i:1:d:10.1007_s00186-021-00748-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00186-021-00748-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:diposit.ub.edu:2445/180174","is_oa":true,"landing_page_url":"http://hdl.handle.net/2445/180174","pdf_url":null,"source":{"id":"https://openalex.org/S4306401653","display_name":"Dip\u00f2sit Digital de la Universitat de Barcelona (Universitat de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71999127","host_organization_name":"Universitat de Barcelona","host_organization_lineage":["https://openalex.org/I71999127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Articles publicats en revistes (Matem\u00e0tica Econ\u00f2mica, Financera i Actuarial)","raw_type":"info:eu-repo/semantics/acceptedVersion"},{"id":"pmh:oai:idus.us.es:11441/129422","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/129422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:minerva.usc.es:10347/28885","is_oa":true,"landing_page_url":"http://hdl.handle.net/10347/28885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400376","display_name":"Repositorio institucional da Universidade de Santiago de Compostela (University of Santiago de Compostela)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200284239","host_organization_name":"Universidade de Santiago de Compostela","host_organization_lineage":["https://openalex.org/I200284239"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1007/s00186-021-00748-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-021-00748-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-021-00748-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6499999761581421}],"awards":[{"id":"https://openalex.org/G1271764498","display_name":null,"funder_award_id":"MTM2017-87197-C3-2-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G1496055848","display_name":null,"funder_award_id":"ED431C","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G1774025649","display_name":null,"funder_award_id":"FQM237","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G230230324","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G2741976195","display_name":null,"funder_award_id":"ED431C-2017/38","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G2979094679","display_name":null,"funder_award_id":"MTM2017-87197-C3-3-P","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G3322624050","display_name":null,"funder_award_id":"MTM2017-87197-C3-3-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G3429648993","display_name":null,"funder_award_id":"PID202","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3694284866","display_name":null,"funder_award_id":"ED431C","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G4091233115","display_name":null,"funder_award_id":"MTM2017-87197-C3","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G4247662836","display_name":null,"funder_award_id":"FQM237","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G4816244515","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5377895863","display_name":null,"funder_award_id":"ED431C-2017/38","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5467562717","display_name":null,"funder_award_id":"MTM2017-87197-C3-3-P","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6063137639","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6128695098","display_name":null,"funder_award_id":"ED431C 2016-040","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G6217263096","display_name":null,"funder_award_id":"MTM2017-87197-C3-2-P","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G6416524284","display_name":null,"funder_award_id":"2017 SGR-778","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G6731524417","display_name":null,"funder_award_id":"PID2020","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6768666580","display_name":null,"funder_award_id":"ED431C-2016-040","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G7224627388","display_name":null,"funder_award_id":"ED431","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8773781010","display_name":null,"funder_award_id":"MTM2017-87197-C3-3-P","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8910728132","display_name":null,"funder_award_id":"MTM2017-83455-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G963209736","display_name":null,"funder_award_id":"ECO2017-86481-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G990333805","display_name":null,"funder_award_id":"Innovaci\u00f3n y Universidades","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3188728932.pdf","grobid_xml":"https://content.openalex.org/works/W3188728932.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1541475132","https://openalex.org/W1588483532","https://openalex.org/W1596995404","https://openalex.org/W2004827298","https://openalex.org/W2006377004","https://openalex.org/W2022220165","https://openalex.org/W2023520329","https://openalex.org/W2072385627","https://openalex.org/W2091208258","https://openalex.org/W2091306456","https://openalex.org/W2144500880","https://openalex.org/W2144910703","https://openalex.org/W2168150498","https://openalex.org/W2479559436","https://openalex.org/W2480268122","https://openalex.org/W2527739662","https://openalex.org/W2613252094","https://openalex.org/W2946894085","https://openalex.org/W3124507439","https://openalex.org/W3124652954","https://openalex.org/W3124760367"],"related_works":["https://openalex.org/W1562844845","https://openalex.org/W1538386239","https://openalex.org/W2037362920","https://openalex.org/W4220666846","https://openalex.org/W2109332371","https://openalex.org/W2899681049","https://openalex.org/W2031838838","https://openalex.org/W3188728932","https://openalex.org/W4251799675","https://openalex.org/W1974078543"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"an":[4],"order":[5],"on":[6,81],"the":[7,40,68,82,97,101,110,113,124,131],"set":[8],"of":[9,23,27,48,58,85,96,109,112,126],"embedded":[10],"coalitions":[11,57],"is":[12,79,134],"studied":[13],"in":[14,29,39,118],"detail.":[15],"This":[16],"allows":[17],"us":[18],"to":[19,36,56,67,116],"define":[20,92],"new":[21],"notions":[22],"superaddivity":[24],"and":[25,61],"convexity":[26,84],"games":[28,73,87,117,129],"partition":[30,95,119],"function":[31,120],"form":[32,121],"which":[33],"are":[34,45],"compared":[35],"other":[37],"proposals":[38],"literature.":[41],"The":[42,50,76],"main":[43],"results":[44],"two":[46],"characterizations":[47],"convexity.":[49],"first":[51],"one":[52,78],"uses":[53],"non-decreasing":[54],"contributions":[55],"increasing":[59],"size":[60],"can":[62,105],"thus":[63],"be":[64],"considered":[65],"parallel":[66],"classic":[69,128],"result":[70],"for":[71],"cooperative":[72],"without":[74,88],"externalities.":[75],"second":[77],"based":[80],"standard":[83],"associated":[86],"externalities":[89],"that":[90,107],"we":[91,104],"using":[93],"a":[94],"player":[98],"set.":[99],"Using":[100],"later":[102],"result,":[103],"conclude":[106],"some":[108],"generalizations":[111],"Shapley":[114],"value":[115],"lie":[122],"within":[123],"cores":[125],"specific":[127],"when":[130],"original":[132],"game":[133],"convex.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}