{"id":"https://openalex.org/W4317401677","doi":"https://doi.org/10.1142/s0129054122460066","title":"Restricted Existence and Approximation Algorithms for PMMS","display_name":"Restricted Existence and Approximation Algorithms for PMMS","publication_year":2023,"publication_date":"2023-01-19","ids":{"openalex":"https://openalex.org/W4317401677","doi":"https://doi.org/10.1142/s0129054122460066"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054122460066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054122460066","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5058369249","display_name":"Xinru Guo","orcid":"https://orcid.org/0000-0002-5719-1659"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinru Guo","raw_affiliation_strings":["Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","University of Chinese Academy of Sciences, Beijing, 100049, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-5719-1659","affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing, 100049, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008805285","display_name":"Sijia Dai","orcid":"https://orcid.org/0000-0001-6686-6702"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sijia Dai","raw_affiliation_strings":["Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","University of Chinese Academy of Sciences, Beijing, 100049, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing, 100049, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038251689","display_name":"Guichen Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guichen Gao","raw_affiliation_strings":["Peking University, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Peking University, Beijing, P. R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050147129","display_name":"Ruikang Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruikang Ma","raw_affiliation_strings":["Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","University of Chinese Academy of Sciences, Beijing, 100049, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing, 100049, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055104258","display_name":"Yicheng Xu","orcid":"https://orcid.org/0000-0001-5209-107X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yicheng Xu","raw_affiliation_strings":["Guangxi Key Laboratory of Cryptography and Information Security (Guilin 541004), Guilin, Guangxi Province, P. R. China","Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangxi Key Laboratory of Cryptography and Information Security (Guilin 541004), Guilin, Guangxi Province, P. R. China","institution_ids":["https://openalex.org/I4210132990"]},{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101943036","display_name":"Ning Li","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Ning","raw_affiliation_strings":["Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100728566","display_name":"Jianping Fan","orcid":"https://orcid.org/0000-0002-7389-9112"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianping Fan","raw_affiliation_strings":["Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","University of Chinese Academy of Sciences, Beijing, 100049, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong Province, P. R. China","institution_ids":["https://openalex.org/I4210145761","https://openalex.org/I19820366"]},{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing, 100049, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5055104258"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210132990","https://openalex.org/I4210145761"],"apc_list":null,"apc_paid":null,"fwci":0.2466,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5318281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"05","first_page":"683","last_page":"695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9889000058174133,"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"}},"topics":[{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9889000058174133,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9613999724388123,"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/T11762","display_name":"Law, Economics, and Judicial Systems","score":0.9125000238418579,"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/computer-science","display_name":"Computer science","score":0.6738442182540894},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.6126675605773926},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5984017848968506},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.585098385810852},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5691916346549988},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.42472678422927856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2881743311882019},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.23246118426322937},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12504658102989197},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11266288161277771},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07768058776855469}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6738442182540894},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.6126675605773926},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5984017848968506},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.585098385810852},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5691916346549988},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.42472678422927856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2881743311882019},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.23246118426322937},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12504658102989197},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11266288161277771},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07768058776855469},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054122460066","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054122460066","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3014375430","display_name":null,"funder_award_id":"12071460","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1542025417","https://openalex.org/W1564665474","https://openalex.org/W2040920232","https://openalex.org/W2061918649","https://openalex.org/W2121240598","https://openalex.org/W2150409561","https://openalex.org/W2607725432","https://openalex.org/W2779022289","https://openalex.org/W2787109037","https://openalex.org/W2800806089","https://openalex.org/W2950941888","https://openalex.org/W2962833396","https://openalex.org/W2963034101","https://openalex.org/W2963065304","https://openalex.org/W3015797191","https://openalex.org/W3040731779","https://openalex.org/W3042417763","https://openalex.org/W3124038879","https://openalex.org/W3172157134","https://openalex.org/W3190456614","https://openalex.org/W4206085806","https://openalex.org/W4231238553","https://openalex.org/W4247772422"],"related_works":["https://openalex.org/W2806726580","https://openalex.org/W4297234433","https://openalex.org/W2963247352","https://openalex.org/W2997866359","https://openalex.org/W3042417763","https://openalex.org/W4287703820","https://openalex.org/W3046085397","https://openalex.org/W4362693956","https://openalex.org/W3202660833","https://openalex.org/W4313349662"],"abstract_inverted_index":{"This":[0,81],"paper":[1,101],"studies":[2],"the":[3,34,49,56,59,68,88,109,118,130],"problem":[4],"of":[5,90,133,141],"dividing":[6],"[Formula:":[7,13,146],"see":[8,14,147],"text]":[9,15],"indivisible":[10,75],"items":[11,50,76],"among":[12,117],"agents":[16,113],"fairly":[17],"and":[18,54],"efficiently.":[19],"Specifically,":[20],"this":[21,100],"research":[22],"concentrates":[23,83],"on":[24,84,92],"pairwise":[25],"maximin":[26],"share":[27],"(PMMS),":[28],"which":[29,128],"is":[30,63,78,145],"defined":[31],"to":[32,47,105],"be":[33],"maximum":[35],"value":[36],"that":[37],"an":[38,64,103],"agent":[39,53],"can":[40],"guarantee":[41],"for":[42,74],"herself":[43],"if":[44],"she":[45],"were":[46],"repartition":[48],"with":[51,58,95],"another":[52],"receive":[55],"bundle":[57],"minimum":[60],"value.":[61],"PMMS":[62,73,85,91,107],"important":[65],"concept":[66],"in":[67,108],"fair":[69],"division.":[70],"However,":[71],"whether":[72],"exists":[77],"still":[79],"open.":[80],"work":[82],"by":[86],"proving":[87],"existence":[89],"linear":[93],"graphs":[94],"binary":[96],"valuation":[97],"functions.":[98],"Besides,":[99],"designs":[102],"algorithm":[104,144],"approximate":[106],"case":[110],"where":[111],"different":[112],"have":[114],"identical":[115],"valuations":[116],"same":[119],"items,":[120],"achieving":[121],"a":[122],"ratio":[123,132],"strictly":[124],"greater":[125],"than":[126],"0.8,":[127],"outperforms":[129],"state-of-the-art":[131],"0.781":[134],"from":[135],"Kurokawa":[136],"[22].":[137],"The":[138],"time":[139],"complexity":[140],"our":[142],"FFD-based":[143],"text].":[148]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}