{"id":"https://openalex.org/W2117194296","doi":"https://doi.org/10.1145/1329125.1329365","title":"Some results on approximating the minimax solution in approval voting","display_name":"Some results on approximating the minimax solution in approval voting","publication_year":2007,"publication_date":"2007-05-14","ids":{"openalex":"https://openalex.org/W2117194296","doi":"https://doi.org/10.1145/1329125.1329365","mag":"2117194296"},"language":"en","primary_location":{"id":"doi:10.1145/1329125.1329365","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1329125.1329365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th international joint conference on Autonomous agents and multiagent systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/12129/12129D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045264207","display_name":"Rob LeGrand","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rob LeGrand","raw_affiliation_strings":["Washington University, St. Louis, Missouri","Washington University, St, Louis, Missouri"],"affiliations":[{"raw_affiliation_string":"Washington University, St. Louis, Missouri","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Washington University, St, Louis, Missouri","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009055115","display_name":"Evangelos Markakis","orcid":"https://orcid.org/0000-0003-0959-598X"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Evangelos Markakis","raw_affiliation_strings":["Center for Mathematics and Computer Science (CWI), Amsterdam, Netherlands","Center for Mathematics and Computer Science (CWI), Amsterdam (Netherlands)"],"affiliations":[{"raw_affiliation_string":"Center for Mathematics and Computer Science (CWI), Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Center for Mathematics and Computer Science (CWI), Amsterdam (Netherlands)","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075894805","display_name":"Aranyak Mehta","orcid":"https://orcid.org/0000-0002-6132-4901"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210085935","display_name":"IBM Research - Almaden","ror":"https://ror.org/005w8dd04","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210085935","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aranyak Mehta","raw_affiliation_strings":["IBM Almaden Research Center, San Jose, California","IBM Almaden Research Center,#R#San Jose, California"],"affiliations":[{"raw_affiliation_string":"IBM Almaden Research Center, San Jose, California","institution_ids":["https://openalex.org/I4210085935"]},{"raw_affiliation_string":"IBM Almaden Research Center,#R#San Jose, California","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045264207"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":1.123,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.79490267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9958000183105469,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/voting","display_name":"Voting","score":0.8004646301269531},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6971482038497925},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.693665087223053},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6162407398223877},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5636589527130127},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.507996141910553},{"id":"https://openalex.org/keywords/approval-voting","display_name":"Approval voting","score":0.4762078523635864},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4400824308395386},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4204982817173004},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3757914900779724},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3397675156593323},{"id":"https://openalex.org/keywords/cardinal-voting-systems","display_name":"Cardinal voting systems","score":0.3289496898651123},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2435189187526703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11479634046554565},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11156514286994934},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.10215619206428528},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08523288369178772},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06735584139823914},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.060966283082962036}],"concepts":[{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.8004646301269531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6971482038497925},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.693665087223053},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6162407398223877},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5636589527130127},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.507996141910553},{"id":"https://openalex.org/C100479058","wikidata":"https://www.wikidata.org/wiki/Q526530","display_name":"Approval voting","level":5,"score":0.4762078523635864},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4400824308395386},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4204982817173004},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3757914900779724},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3397675156593323},{"id":"https://openalex.org/C167654663","wikidata":"https://www.wikidata.org/wiki/Q5038645","display_name":"Cardinal voting systems","level":4,"score":0.3289496898651123},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2435189187526703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11479634046554565},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11156514286994934},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.10215619206428528},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08523288369178772},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06735584139823914},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.060966283082962036},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1329125.1329365","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1329125.1329365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th international joint conference on Autonomous agents and multiagent systems","raw_type":"proceedings-article"},{"id":"pmh:oai:cwi.nl:12129","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/12129","pdf_url":"https://ir.cwi.nl/pub/12129/12129D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.5003","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.5003","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pages.cs.aueb.gr/%7Emarkakis/research/aamas07-minmax.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:12129","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/12129","pdf_url":"https://ir.cwi.nl/pub/12129/12129D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2117194296.pdf","grobid_xml":"https://content.openalex.org/works/W2117194296.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W32216251","https://openalex.org/W59059920","https://openalex.org/W148670789","https://openalex.org/W1529060712","https://openalex.org/W1552227627","https://openalex.org/W1580922218","https://openalex.org/W1622377571","https://openalex.org/W1680574711","https://openalex.org/W1964541472","https://openalex.org/W1983410903","https://openalex.org/W2003296459","https://openalex.org/W2017492304","https://openalex.org/W2068781654","https://openalex.org/W2077595184","https://openalex.org/W2085239230","https://openalex.org/W2098136663","https://openalex.org/W2103658959","https://openalex.org/W2111154829","https://openalex.org/W2161392628","https://openalex.org/W2566299774"],"related_works":["https://openalex.org/W67275539","https://openalex.org/W3123452820","https://openalex.org/W4321649621","https://openalex.org/W3142750683","https://openalex.org/W2230426323","https://openalex.org/W1994050299","https://openalex.org/W2081623839","https://openalex.org/W2051241966","https://openalex.org/W1552632568","https://openalex.org/W2050516366"],"abstract_inverted_index":{"Voting":[0],"has":[1],"been":[2],"a":[3,19,29,32],"very":[4],"popular":[5],"method":[6],"for":[7,56],"preference":[8],"aggregation":[9],"in":[10,81,89],"multiagent":[11],"environments.":[12],"It":[13],"is":[14,59],"often":[15],"the":[16,37],"case":[17],"that":[18],"set":[20,33],"of":[21,34,51],"agents":[22],"with":[23],"different":[24],"preferences":[25,66],"need":[26],"to":[27,60,73],"make":[28],"choice":[30],"among":[31],"alternatives,":[35],"where":[36],"alternatives":[38],"could":[39],"be":[40],"various":[41],"entities":[42],"such":[43],"as":[44],"potential":[45],"committee":[46],"members,":[47],"or":[48],"joint":[49],"plans":[50],"action.":[52],"A":[53],"standard":[54],"methodology":[55],"this":[57,85],"scenario":[58],"have":[61,83],"each":[62],"agent":[63],"express":[64],"his":[65],"and":[67,93],"then":[68],"select":[69],"an":[70],"alternative":[71],"according":[72],"some":[74],"voting":[75],"protocol.":[76],"Several":[77],"decision":[78],"making":[79],"applications":[80],"AI":[82],"followed":[84],"approach":[86],"including":[87],"problems":[88],"collaborative":[90],"filtering":[91],"[10]":[92],"planning":[94],"[3,":[95],"4].":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}