{"id":"https://openalex.org/W4315927287","doi":"https://doi.org/10.1080/00029890.2022.2153566","title":"Cutting a Cake Fairly for Groups Revisited","display_name":"Cutting a Cake Fairly for Groups Revisited","publication_year":2023,"publication_date":"2023-01-13","ids":{"openalex":"https://openalex.org/W4315927287","doi":"https://doi.org/10.1080/00029890.2022.2153566"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2022.2153566","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2153566","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2153566?download=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2153566?download=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085873807","display_name":"Erel Segal-Halevi","orcid":"https://orcid.org/0000-0002-7497-5834"},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Erel Segal-Halevi","raw_affiliation_strings":["Department of Computer Science, Ariel University","Department of Computer Science, Ariel University, Israel;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ariel University","institution_ids":["https://openalex.org/I52170813"]},{"raw_affiliation_string":"Department of Computer Science, Ariel University, Israel;","institution_ids":["https://openalex.org/I52170813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082525642","display_name":"Warut Suksompong","orcid":"https://orcid.org/0000-0001-8973-2539"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Warut Suksompong","raw_affiliation_strings":["School of Computing, National University of Singapore","School of Computing, National University of Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, National University of Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"School of Computing, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082525642"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":1.8891,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88713083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"130","issue":"3","first_page":"203","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9980000257492065,"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":0.9980000257492065,"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/T12137","display_name":"Economic theories and models","score":0.9614999890327454,"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":0.9605000019073486,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7125707864761353},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6519155502319336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6276470422744751},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5931525230407715},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5610067248344421},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.5061802268028259},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49306342005729675},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.41990023851394653},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3996565043926239},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34554511308670044},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10233420133590698},{"id":"https://openalex.org/keywords/management","display_name":"Management","score":0.08198884129524231}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7125707864761353},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6519155502319336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6276470422744751},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5931525230407715},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5610067248344421},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.5061802268028259},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49306342005729675},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.41990023851394653},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3996565043926239},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34554511308670044},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10233420133590698},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.08198884129524231},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00029890.2022.2153566","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2153566","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2153566?download=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2301.09061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2301.09061","pdf_url":"https://arxiv.org/pdf/2301.09061","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/238025","is_oa":false,"landing_page_url":"https://scholarbank.nus.edu.sg/handle/10635/238025","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","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":"Taylor & Francis","raw_type":"Article"},{"id":"pmh:oai:RePEc:arx:papers:2301.09061","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"preprint"}],"best_oa_location":{"id":"doi:10.1080/00029890.2022.2153566","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2153566","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2153566?download=true","source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3674927128","display_name":null,"funder_award_id":"MOE-T2EP20221-0001","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315927287.pdf","grobid_xml":"https://content.openalex.org/works/W4315927287.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W54061463","https://openalex.org/W1182014237","https://openalex.org/W1511472641","https://openalex.org/W1977246877","https://openalex.org/W1981973022","https://openalex.org/W1994908533","https://openalex.org/W2004738599","https://openalex.org/W2120715862","https://openalex.org/W2140799001","https://openalex.org/W2586913291","https://openalex.org/W2622408375","https://openalex.org/W2730072800","https://openalex.org/W2738257051","https://openalex.org/W2795910335","https://openalex.org/W2798776840","https://openalex.org/W2900683334","https://openalex.org/W2912266291","https://openalex.org/W2963995129","https://openalex.org/W2980311921","https://openalex.org/W2997232709","https://openalex.org/W2999747656","https://openalex.org/W3096175939","https://openalex.org/W3102551295","https://openalex.org/W3122049395","https://openalex.org/W3124854655","https://openalex.org/W3157188407","https://openalex.org/W4236082126","https://openalex.org/W4246657866","https://openalex.org/W4247772422"],"related_works":["https://openalex.org/W2730923572","https://openalex.org/W2027381854","https://openalex.org/W3145102893","https://openalex.org/W2985886153","https://openalex.org/W4294156424","https://openalex.org/W2469602192","https://openalex.org/W1832254459","https://openalex.org/W3124702018","https://openalex.org/W4233699762","https://openalex.org/W2988378415"],"abstract_inverted_index":{"Cake":[0],"cutting":[1],"is":[2,37,68,94,102],"a":[3,13,16,34,61,87,103,124],"classic":[4],"fair":[5],"division":[6],"problem,":[7],"with":[8,30],"the":[9,41,51,54,75,92,100,118],"cake":[10,52],"serving":[11],"as":[12],"metaphor":[14],"for":[15,25,78,112,123],"heterogeneous":[17],"divisible":[18],"resource.":[19],"Recently,":[20],"it":[21,36],"was":[22],"shown":[23],"that":[24,57,91,117],"any":[26,46],"number":[27],"of":[28,45,99],"players":[29,42],"arbitrary":[31],"preferences":[32],"over":[33],"cake,":[35],"possible":[38,95],"to":[39],"partition":[40],"into":[43],"groups":[44,55,101],"desired":[47],"size":[48],"and":[49,65,115],"divide":[50],"among":[53],"so":[56],"each":[58],"group":[59,76],"receives":[60],"single":[62],"contiguous":[63],"piece":[64],"every":[66],"player":[67],"envy-free.":[69],"For":[70],"two":[71],"groups,":[72],"we":[73],"characterize":[74],"sizes":[77],"which":[79],"such":[80],"an":[81,108],"assignment":[82],"can":[83],"be":[84],"computed":[85],"by":[86],"finite":[88],"algorithm,":[89],"showing":[90],"task":[93],"exactly":[96],"when":[97],"one":[98],"singleton.":[104],"We":[105],"also":[106],"establish":[107],"analogous":[109],"existence":[110],"result":[111,119],"chore":[113],"division,":[114],"show":[116],"does":[120],"not":[121],"hold":[122],"mixed":[125],"cake.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
