{"id":"https://openalex.org/W4390843960","doi":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","title":"Externalities and the (pre)nucleolus in cooperative games","display_name":"Externalities and the (pre)nucleolus in cooperative games","publication_year":2024,"publication_date":"2024-01-13","ids":{"openalex":"https://openalex.org/W4390843960","doi":"https://doi.org/10.1016/j.mathsocsci.2024.01.003"},"language":"en","primary_location":{"id":"doi:10.1016/j.mathsocsci.2024.01.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"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 Social Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Mikel \u00c1lvarez-Mozos","raw_affiliation_strings":["Departament de Matem\u00e0tica Econ\u00f2mica, Financera i Actuarial and BEAT, Universitat de Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-8457-4647","affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Econ\u00f2mica, Financera i Actuarial and BEAT, Universitat de Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103262546","display_name":"Lars Ehlers","orcid":"https://orcid.org/0000-0002-0930-3556"},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lars Ehlers","raw_affiliation_strings":["D\u00e9partement de Sciences \u00c9conomiques and CIREQ, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC H3C 3J7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Sciences \u00c9conomiques and CIREQ, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC H3C 3J7, Canada","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035016765"],"corresponding_institution_ids":["https://openalex.org/I71999127"],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":{"value":2720,"currency":"USD","value_usd":2720},"fwci":4.3269,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.94168248,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"128","issue":null,"first_page":"10","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"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":1.0,"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/T11182","display_name":"Auction Theory and Applications","score":0.9958000183105469,"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/T12137","display_name":"Economic theories and models","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.887169361114502},{"id":"https://openalex.org/keywords/externality","display_name":"Externality","score":0.839959979057312},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.7352414131164551},{"id":"https://openalex.org/keywords/cooperative-game-theory","display_name":"Cooperative game theory","score":0.609541654586792},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6061128377914429},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.5624926686286926},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.5505266785621643},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5226592421531677},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.4673740267753601},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.394148588180542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22260093688964844},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.04725131392478943}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.887169361114502},{"id":"https://openalex.org/C16118543","wikidata":"https://www.wikidata.org/wiki/Q275372","display_name":"Externality","level":2,"score":0.839959979057312},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.7352414131164551},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.609541654586792},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6061128377914429},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.5624926686286926},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.5505266785621643},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5226592421531677},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.4673740267753601},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.394148588180542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22260093688964844},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.04725131392478943},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.mathsocsci.2024.01.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"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 Social Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matsoc:v:128:y:2024:i:c:p:10-15","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S016548962400012X","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:2445/207069","is_oa":true,"landing_page_url":"https://hdl.handle.net/2445/207069","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"}],"best_oa_location":{"id":"doi:10.1016/j.mathsocsci.2024.01.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"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 Social Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G170510304","display_name":null,"funder_award_id":"2021SGR00306","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G8464215085","display_name":null,"funder_award_id":"PID2020-113110GB-100/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"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/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334617","display_name":"Social Sciences and Humanities Research Council of Canada","ror":"https://ror.org/04j5jqy92"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W2034572956","https://openalex.org/W2036615569","https://openalex.org/W2046693296","https://openalex.org/W2060286551","https://openalex.org/W2063094087","https://openalex.org/W2068985771","https://openalex.org/W2083002078","https://openalex.org/W2085748302","https://openalex.org/W2102729478","https://openalex.org/W2112131976","https://openalex.org/W2125363721","https://openalex.org/W2139777355","https://openalex.org/W2144500880","https://openalex.org/W2168150498","https://openalex.org/W2325117413","https://openalex.org/W2611047208","https://openalex.org/W2804440855","https://openalex.org/W2946894085","https://openalex.org/W2972737513","https://openalex.org/W3124507439","https://openalex.org/W3124760367","https://openalex.org/W3167286505","https://openalex.org/W6622160436"],"related_works":["https://openalex.org/W3204498529","https://openalex.org/W2187416006","https://openalex.org/W1981630704","https://openalex.org/W2134138723","https://openalex.org/W1538386239","https://openalex.org/W3176033544","https://openalex.org/W1894585900","https://openalex.org/W2006581498","https://openalex.org/W2013832345","https://openalex.org/W1998066849"],"abstract_inverted_index":{"In":[0],"most":[1],"economic":[2],"applications":[3],"of":[4,11,31],"cooperative":[5],"games,":[6],"externalities":[7],"prevail:":[8],"the":[9,17,33,45,49],"worth":[10],"a":[12,27],"coalition":[13],"depends":[14],"on":[15],"how":[16],"other":[18],"players":[19],"are":[20],"organized.":[21],"We":[22],"show":[23],"that":[24],"there":[25],"is":[26,41],"unique":[28],"natural":[29],"way":[30],"extending":[32],"prenucleolus":[34],"to":[35,44],"games":[36],"with":[37],"coalitional":[38],"externalities.":[39],"This":[40],"in":[42],"contrast":[43],"Shapley":[46],"value":[47],"and":[48],"core":[50],"for":[51],"which":[52],"many":[53],"different":[54],"extensions":[55],"have":[56],"been":[57],"proposed.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}