{"id":"https://openalex.org/W3097557441","doi":"https://doi.org/10.1007/978-3-030-64946-3_25","title":"Optimal Bounds on the Price of Fairness for Indivisible Goods","display_name":"Optimal Bounds on the Price of Fairness for Indivisible Goods","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3097557441","doi":"https://doi.org/10.1007/978-3-030-64946-3_25","mag":"3097557441"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-64946-3_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-64946-3_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.06242","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039018238","display_name":"Siddharth Barman","orcid":"https://orcid.org/0000-0001-9276-2181"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Siddharth Barman","raw_affiliation_strings":["Indian Institute of Science, Bangalore, India","Indian Institute of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Indian Institute of Science","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003054080","display_name":"Umang Bhaskar","orcid":null},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Umang Bhaskar","raw_affiliation_strings":["Tata Institute of Fundamental Research, Mumbai, India","Tata Institute of Fundamental Research Mumbai India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tata Institute of Fundamental Research, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"Tata Institute of Fundamental Research Mumbai India","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103285429","display_name":"Nisarg Shah","orcid":"https://orcid.org/0000-0002-0946-3402"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nisarg Shah","raw_affiliation_strings":["University of Toronto, Toronto, Canada","University of Toronto"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":10.8364,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.98120076,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"356","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9988999962806702,"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":0.9988999962806702,"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":0.998199999332428,"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/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.9897000193595886,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subadditivity","display_name":"Subadditivity","score":0.8910858631134033},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7169866561889648},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.585692286491394},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.569566011428833},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5620518326759338},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5246877074241638},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5028497576713562},{"id":"https://openalex.org/keywords/fairness-measure","display_name":"Fairness measure","score":0.46528831124305725},{"id":"https://openalex.org/keywords/max-min-fairness","display_name":"Max-min fairness","score":0.43717503547668457},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.4339390695095062},{"id":"https://openalex.org/keywords/welfare","display_name":"Welfare","score":0.432736337184906},{"id":"https://openalex.org/keywords/social-welfare","display_name":"Social Welfare","score":0.4143715500831604},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.410846084356308},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3733578026294708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33170658349990845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25620633363723755},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.24311330914497375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2059175670146942}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.8910858631134033},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7169866561889648},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.585692286491394},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.569566011428833},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5620518326759338},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5246877074241638},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5028497576713562},{"id":"https://openalex.org/C11867375","wikidata":"https://www.wikidata.org/wiki/Q5430671","display_name":"Fairness measure","level":4,"score":0.46528831124305725},{"id":"https://openalex.org/C177972170","wikidata":"https://www.wikidata.org/wiki/Q17097315","display_name":"Max-min fairness","level":3,"score":0.43717503547668457},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4339390695095062},{"id":"https://openalex.org/C100243477","wikidata":"https://www.wikidata.org/wiki/Q12002092","display_name":"Welfare","level":2,"score":0.432736337184906},{"id":"https://openalex.org/C536738050","wikidata":"https://www.wikidata.org/wiki/Q3249071","display_name":"Social Welfare","level":2,"score":0.4143715500831604},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.410846084356308},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3733578026294708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33170658349990845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25620633363723755},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.24311330914497375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2059175670146942},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-64946-3_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-64946-3_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:eprints.iisc.ac.in:67546","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401429","display_name":"ePrints@IISc (Indian Institute of Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"pmh:oai:arXiv.org:2007.06242","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.06242","pdf_url":"https://arxiv.org/pdf/2007.06242","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3097557441","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2007.06242.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2007.06242","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.06242","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.06242","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.06242","pdf_url":"https://arxiv.org/pdf/2007.06242","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1137385233","https://openalex.org/W1497344594","https://openalex.org/W1526250527","https://openalex.org/W1542025417","https://openalex.org/W1775553015","https://openalex.org/W1979765269","https://openalex.org/W1991223607","https://openalex.org/W2013518095","https://openalex.org/W2059527251","https://openalex.org/W2063341202","https://openalex.org/W2079854492","https://openalex.org/W2104334470","https://openalex.org/W2121240598","https://openalex.org/W2133097277","https://openalex.org/W2133667021","https://openalex.org/W2150409561","https://openalex.org/W2156671446","https://openalex.org/W2210151217","https://openalex.org/W2346164124","https://openalex.org/W2593819652","https://openalex.org/W2607725432","https://openalex.org/W2917587507","https://openalex.org/W2962711478","https://openalex.org/W2963034101","https://openalex.org/W2963179843","https://openalex.org/W2964343520","https://openalex.org/W2965669729","https://openalex.org/W2969896603","https://openalex.org/W2989818063","https://openalex.org/W2997866359","https://openalex.org/W3011924088","https://openalex.org/W3040731779","https://openalex.org/W3042146543","https://openalex.org/W3089919202","https://openalex.org/W3117791895","https://openalex.org/W3124038879","https://openalex.org/W3149588069","https://openalex.org/W4213439731"],"related_works":["https://openalex.org/W3042042169","https://openalex.org/W2944428860","https://openalex.org/W3125188739","https://openalex.org/W2950976454","https://openalex.org/W3176278315","https://openalex.org/W3202660833","https://openalex.org/W3192800093","https://openalex.org/W2156671446","https://openalex.org/W2966666069","https://openalex.org/W3118924076","https://openalex.org/W2963025088","https://openalex.org/W2143943228","https://openalex.org/W2145126631","https://openalex.org/W3125585205","https://openalex.org/W2963179843","https://openalex.org/W2901391097","https://openalex.org/W2293074871","https://openalex.org/W3206360018","https://openalex.org/W2903197822","https://openalex.org/W3158729705"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}