{"id":"https://openalex.org/W7161233743","doi":"https://doi.org/10.48550/arxiv.2605.15018","title":"Generalized Priority-Aware Shapley Value","display_name":"Generalized Priority-Aware Shapley Value","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161233743","doi":"https://doi.org/10.48550/arxiv.2605.15018"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.15018","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.15018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125682321","display_name":"Kiljae Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Kiljae","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136221567","display_name":"Ziqi Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Ziqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057271899","display_name":"Weijing Tang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tang, Weijing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136192423","display_name":"Yuan Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Yuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10883","display_name":"Ethics and Social Impacts of AI","score":0.21410000324249268,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10883","display_name":"Ethics and Social Impacts of AI","score":0.21410000324249268,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11704","display_name":"Mobile Crowdsensing and Crowdsourcing","score":0.12520000338554382,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.09139999747276306,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8737999796867371},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6553999781608582},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.6137999892234802},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.5839999914169312},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43290001153945923},{"id":"https://openalex.org/keywords/revealed-preference","display_name":"Revealed preference","score":0.38499999046325684},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.3817000091075897},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.3711000084877014}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8737999796867371},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6553999781608582},{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.6137999892234802},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.5839999914169312},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5228999853134155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5077000260353088},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43290001153945923},{"id":"https://openalex.org/C2779110102","wikidata":"https://www.wikidata.org/wiki/Q1323737","display_name":"Revealed preference","level":2,"score":0.38499999046325684},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3817000091075897},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.36500000953674316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31439998745918274},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2955000102519989},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C81302675","wikidata":"https://www.wikidata.org/wiki/Q7834034","display_name":"Transferable utility","level":3,"score":0.2628999948501587}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.15018","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.15018","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.6842880845069885,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Shapley":[0,45],"value":[1,46,51],"and":[2,23,37,91],"its":[3],"priority-aware":[4,44,115],"extensions":[5],"are":[6],"widely":[7],"used":[8],"for":[9],"valuation":[10,105,116],"in":[11,29,59],"machine":[12],"learning,":[13],"but":[14],"existing":[15],"methods":[16],"require":[17],"pairwise":[18,61,125],"priority":[19,57,94,127,131],"to":[20,102],"be":[21],"binary":[22],"acyclic,":[24],"a":[25,48,71,93,119],"restriction":[26],"spectacularly":[27],"violated":[28],"real-data":[30],"examples":[31],"such":[32],"as":[33,76],"aggregated":[34],"human":[35],"preferences":[36],"multi-criterion":[38],"comparisons.":[39],"We":[40,79,99],"introduce":[41,92],"the":[42,87,107,137],"generalized":[43],"(GPASV),":[47],"random":[49],"order":[50,67],"defined":[52],"on":[53,106],"arbitrary":[54],"directed":[55],"weighted":[56],"graphs,":[58],"which":[60],"edges":[62],"penalize":[63],"rather":[64],"than":[65],"forbid":[66],"violations.":[68],"GPASV":[69,81,101],"covers":[70],"range":[72],"of":[73,124,136],"classical":[74],"models":[75],"boundary":[77],"cases.":[78],"establish":[80],"through":[82],"an":[83],"axiomatic":[84],"characterization,":[85],"develop":[86],"associated":[88],"computational":[89],"methods,":[90],"sweeping":[95],"diagnostic":[96],"extending":[97],"PASV's.":[98],"apply":[100],"LLM":[103],"ensemble":[104],"cyclic":[108],"Chatbot":[109],"Arena":[110],"preference":[111],"graph,":[112],"illustrating":[113],"that":[114],"is":[117],"not":[118],"one-button":[120],"operation:":[121],"different":[122,134],"balances":[123],"graph":[126],"versus":[128],"individual":[129],"soft":[130],"produce":[132],"substantively":[133],"valuations":[135],"same":[138],"data.":[139]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-16T00:00:00"}