{"id":"https://openalex.org/W62192591","doi":null,"title":"Computing shapley values, manipulating value division schemes, and checking core membership in multi-issue domains","display_name":"Computing shapley values, manipulating value division schemes, and checking core membership in multi-issue domains","publication_year":2004,"publication_date":"2004-07-25","ids":{"openalex":"https://openalex.org/W62192591","mag":"62192591"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.337.1419","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.337.1419","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.aaai.org/Papers/AAAI/2004/AAAI04-035.pdf","raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050903632","display_name":"Vincent Conitzer","orcid":"https://orcid.org/0000-0003-1899-7884","observed_orcids":["https://orcid.org/0000-0003-1899-7884"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Conitzer","raw_affiliation_strings":["Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pa"],"raw_orcid":"https://orcid.org/0000-0003-1899-7884","affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pa","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023571961","display_name":"T\u00fcomas Sandholm","orcid":"https://orcid.org/0000-0001-8861-9366","observed_orcids":["https://orcid.org/0000-0001-8861-9366"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T\u00fcomas Sandholm","raw_affiliation_strings":["Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pa"],"raw_orcid":"https://orcid.org/0000-0001-8861-9366","affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pa","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":19.081,"has_fulltext":false,"cited_by_count":125,"citation_normalized_percentile":{"value":0.99020029,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"219","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9932000041007996,"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":0.9932000041007996,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.006500000134110451,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.8880000114440918},{"id":"https://openalex.org/keywords/coalition-formation","display_name":"coalition formation","score":0.8949999809265137},{"id":"https://openalex.org/keywords/characteristic-function","display_name":"characteristic function","score":0.5929999947547913},{"id":"https://openalex.org/keywords/automated-negotiation","display_name":"automated negotiation","score":0.7269999980926514},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.5669999718666077},{"id":"https://openalex.org/keywords/np-completeness","display_name":"NP-completeness","score":0.9150000214576721},{"id":"https://openalex.org/keywords/coalition-stability","display_name":"coalition stability","score":0.6589999794960022}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.768181324005127},{"id":"https://openalex.org/C199776023","wikidata":"https://www.wikidata.org/wiki/Q202875","display_name":"Negotiation","level":2,"score":0.6974424719810486},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6956462860107422},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6880450248718262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6793153882026672},{"id":"https://openalex.org/C2781416736","wikidata":"https://www.wikidata.org/wiki/Q105354050","display_name":"Cooperative game theory","level":3,"score":0.5848244428634644},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5659165978431702},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5591543912887573},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5385720729827881},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5329001545906067},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5306101441383362},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5302115678787231},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.507026195526123},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.49839329719543457},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.37501776218414307},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35976648330688477},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.20766407251358032},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.19200125336647034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17841103672981262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14345312118530273},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.10986441373825073},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.337.1419","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.337.1419","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.aaai.org/Papers/AAAI/2004/AAAI04-035.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.5656","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.5656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-2.cs.cmu.edu/~sandholm/computing_shapley.aaai04.pdf","raw_type":"text"},{"id":"mag:62192591","doi":null,"is_oa":false,"landing_page_url":"https://www.aaai.org/Papers/AAAI/2004/AAAI04-035.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306420577","display_name":"National Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"National Conference on Artificial Intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4300000071525574}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W30680763","https://openalex.org/W1509391984","https://openalex.org/W1521817025","https://openalex.org/W1550427658","https://openalex.org/W1562353621","https://openalex.org/W1622377571","https://openalex.org/W1680574711","https://openalex.org/W1697090051","https://openalex.org/W1971441460","https://openalex.org/W1998788558","https://openalex.org/W2003296459","https://openalex.org/W2005516244","https://openalex.org/W2033201011","https://openalex.org/W2034600319","https://openalex.org/W2038607592","https://openalex.org/W2039224531","https://openalex.org/W2076276151","https://openalex.org/W2079643546","https://openalex.org/W2080745530","https://openalex.org/W2085648025","https://openalex.org/W2097916157","https://openalex.org/W2109100253","https://openalex.org/W2128053460","https://openalex.org/W2134104365","https://openalex.org/W2134628753","https://openalex.org/W2144846366","https://openalex.org/W2156887976","https://openalex.org/W2161392628","https://openalex.org/W2167091266","https://openalex.org/W2171779188","https://openalex.org/W2219316292","https://openalex.org/W2493238591","https://openalex.org/W2953140979","https://openalex.org/W3027820740","https://openalex.org/W3146875692"],"related_works":["https://openalex.org/W1501596505","https://openalex.org/W1975794688","https://openalex.org/W1576108793","https://openalex.org/W2134104365","https://openalex.org/W7099057926","https://openalex.org/W1530744370","https://openalex.org/W1480321471","https://openalex.org/W1515887525","https://openalex.org/W2137320437","https://openalex.org/W7097637483"],"abstract_inverted_index":{"Coalition":[0],"formation":[1,16],"is":[2,27,116,178,217,222],"a":[3,20,57,72,89,101,104,142,185,197],"key":[4,21],"problem":[5],"in":[6,141,149,167,219],"automated":[7],"negotiation":[8],"among":[9],"self-interested":[10],"agents.":[11],"In":[12],"order":[13,166],"for":[14,65],"coalition":[15,79],"to":[17,34,68,124,159,162,173,187,207,228],"be":[18,25,35,69,88,160],"successful,":[19],"question":[22],"that":[23,77,93,134,148,195],"must":[24],"answered":[26],"how":[28,112,123],"the":[29,44,66,94,114,127,136,165,169,174,189,215,220,230,233],"gains":[30,137],"from":[31,138],"cooperation":[32,139],"are":[33,157,171],"distributed.":[36],"Various":[37],"solution":[38,49],"concepts":[39,50],"have":[40,51],"been":[41],"proposed,":[42],"but":[43],"computational":[45,181,225],"questions":[46],"around":[47],"these":[48],"received":[52],"little":[53],"attention.":[54],"We":[55,145],"study":[56],"concise":[58],"representation":[59],"of":[60,74,80,91,107,164,232],"characteristic":[61],"functions":[62],"which":[63,156,168,211],"allows":[64],"agents":[67,81,96,170],"concerned":[70],"with":[71],"number":[73],"independent":[75],"issues":[76],"each":[78],"can":[82],"address.":[83],"For":[84],"example,":[85],"there":[86],"may":[87],"set":[90],"tasks":[92],"capacityunconstrained":[95],"could":[97],"undertake,":[98],"where":[99],"accomplishing":[100],"task":[102,115],"generates":[103],"certain":[105,143],"amount":[106],"value":[108,131,153,198],"(possibly":[109],"depending":[110],"on":[111],"well":[113],"accomplished).":[117],"Given":[118],"this":[119,176],"representation,":[120],"we":[121,193,213],"show":[122,147,194],"quickly":[125],"compute":[126],"Shapley":[128],"value\u2014a":[129],"seminal":[130],"division":[132,154,216],"scheme":[133],"distributes":[135],"fairly":[140],"sense.":[144],"then":[146],"(distributed)":[150],"marginal-contribution":[151],"based":[152],"schemes,":[155],"known":[158],"vulnerable":[161],"manipulation":[163,177],"added":[172],"coalition,":[175],"NP-complete.":[179,223],"Thus,":[180],"complexity":[182,226],"serves":[183,227],"as":[184],"barrier":[186],"manipulating":[188],"joining":[190],"order.":[191],"Finally,":[192],"given":[196],"division,":[199],"determining":[200],"whether":[201],"some":[202],"subcoalition":[203],"has":[204],"an":[205],"incentive":[206],"break":[208],"away":[209],"(in":[210],"case":[212],"say":[214],"not":[218],"core)":[221],"So,":[224],"increase":[229],"stability":[231],"coalition.":[234]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":9}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}