{"id":"https://openalex.org/W2135749914","doi":"https://doi.org/10.1109/itw.2012.6404728","title":"Information Theoretic Cutting of a Cake","display_name":"Information Theoretic Cutting of a Cake","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2135749914","doi":"https://doi.org/10.1109/itw.2012.6404728","mag":"2135749914"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1205.4144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077115606","display_name":"Payam Delgosha","orcid":"https://orcid.org/0000-0003-0266-9237"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Payam Delgosha","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0003-0266-9237","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015573260","display_name":"Amin Gohari","orcid":"https://orcid.org/0000-0002-9667-7627"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amin Gohari","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-9667-7627","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Department of Electrical Engineering, Sharif university of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.19256634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"63","issue":"11","first_page":"517","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9994999766349792,"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/T11031","display_name":"Game Theory and Applications","score":0.9994999766349792,"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/T12137","display_name":"Economic theories and models","score":0.9983999729156494,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9959999918937683,"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/fair-division","display_name":"Fair division","score":0.8546024560928345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5271358489990234},{"id":"https://openalex.org/keywords/portfolio","display_name":"Portfolio","score":0.5038878321647644},{"id":"https://openalex.org/keywords/negotiation","display_name":"Negotiation","score":0.5008816719055176},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.47073638439178467},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.404225617647171},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37120163440704346},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.32063037157058716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2802474796772003},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.25021418929100037}],"concepts":[{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.8546024560928345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5271358489990234},{"id":"https://openalex.org/C2780821815","wikidata":"https://www.wikidata.org/wiki/Q5340806","display_name":"Portfolio","level":2,"score":0.5038878321647644},{"id":"https://openalex.org/C199776023","wikidata":"https://www.wikidata.org/wiki/Q202875","display_name":"Negotiation","level":2,"score":0.5008816719055176},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.47073638439178467},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.404225617647171},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37120163440704346},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.32063037157058716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2802474796772003},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.25021418929100037},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/itw.2012.6404728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"doi:10.1109/tit.2017.2751598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2751598","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1205.4144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.4144","pdf_url":"https://arxiv.org/pdf/1205.4144","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:2135749914","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1205.4144.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":"pmh:oai:CiteSeerX.psu:10.1.1.759.4951","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.759.4951","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1205.4144.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1205.4144","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1205.4144","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:1205.4144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.4144","pdf_url":"https://arxiv.org/pdf/1205.4144","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":[],"awards":[{"id":"https://openalex.org/G1062846473","display_name":null,"funder_award_id":"ECCS-1343398","funder_id":"https://openalex.org/F4320337392","funder_display_name":"Division of Electrical, Communications and Cyber Systems"},{"id":"https://openalex.org/G1095265465","display_name":null,"funder_award_id":"95824657","funder_id":"https://openalex.org/F4320322243","funder_display_name":"Iran National Science Foundation"},{"id":"https://openalex.org/G1930976544","display_name":null,"funder_award_id":"CNS-1527846","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G3938399230","display_name":null,"funder_award_id":"CCF-1618145","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8424497446","display_name":null,"funder_award_id":"CCF-0939370","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G8851083662","display_name":null,"funder_award_id":"QB950607","funder_id":"https://openalex.org/F4320321157","funder_display_name":"Sharif University of Technology"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320307873","display_name":"William and Flora Hewlett Foundation","ror":"https://ror.org/04hd1y677"},{"id":"https://openalex.org/F4320321157","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17"},{"id":"https://openalex.org/F4320322243","display_name":"Iran National Science Foundation","ror":"https://ror.org/03sr1ma14"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W64178506","https://openalex.org/W346224165","https://openalex.org/W1494099594","https://openalex.org/W1496301975","https://openalex.org/W1577069963","https://openalex.org/W1603308216","https://openalex.org/W1974972171","https://openalex.org/W1977246877","https://openalex.org/W1993176105","https://openalex.org/W2022749618","https://openalex.org/W2029467699","https://openalex.org/W2036247328","https://openalex.org/W2092021749","https://openalex.org/W2099111195","https://openalex.org/W2109100253","https://openalex.org/W2124409123","https://openalex.org/W2131711205","https://openalex.org/W2140971659","https://openalex.org/W2167144534","https://openalex.org/W2174883028","https://openalex.org/W2178986096","https://openalex.org/W2215290779","https://openalex.org/W2962855948","https://openalex.org/W2963012128","https://openalex.org/W3124844168","https://openalex.org/W4207012491","https://openalex.org/W4236082126","https://openalex.org/W4241314042","https://openalex.org/W4247772422","https://openalex.org/W6611756873"],"related_works":["https://openalex.org/W2756096417","https://openalex.org/W1961272344","https://openalex.org/W2886807769","https://openalex.org/W2287408566","https://openalex.org/W2114725112","https://openalex.org/W1868887333","https://openalex.org/W2248596800","https://openalex.org/W2071094565","https://openalex.org/W1901321320","https://openalex.org/W2550637326","https://openalex.org/W2406013728","https://openalex.org/W2034685564","https://openalex.org/W2991428952","https://openalex.org/W2159797051","https://openalex.org/W2159741008","https://openalex.org/W1973991713","https://openalex.org/W633535488","https://openalex.org/W3037252057","https://openalex.org/W3101463300","https://openalex.org/W1982124588"],"abstract_inverted_index":{"Cutting":[0],"a":[1,4,11,77,92,176,197,201,228],"cake":[2,32,50,65],"is":[3,51],"metaphor":[5],"for":[6,27,146,179,227],"the":[7,22,31,40,49,57,64,99,109,147,154,159,169,181,185,188,208,221,224],"problem":[8,18,206,211],"of":[9,30,48,60,94,101,106,111,149,156,184,223],"dividing":[10],"resource":[12],"(cake)":[13],"among":[14],"several":[15],"agents.":[16,151],"The":[17],"becomes":[19],"non-trivial":[20],"when":[21],"agents":[23,61,186],"have":[24],"different":[25,28],"valuations":[26,59],"parts":[29],"(i.e.":[33],"one":[34,52],"agent":[35],"may":[36,42,73],"like":[37,43],"chocolate":[38],"while":[39],"other":[41],"cream).":[44],"A":[45],"fair":[46,115,137],"division":[47,72,116],"that":[53],"takes":[54],"into":[55],"account":[56],"individual":[58],"and":[62,86,141,143,161,164,207],"partitions":[63],"based":[66],"on":[67,220],"some":[68],"fairness":[69],"criterion.":[70],"Fair":[71],"be":[74],"accomplished":[75],"in":[76,96,114,136,158,167,212],"distributed":[78],"or":[79],"centralized":[80,177],"way.":[81],"Due":[82],"to":[83,196],"its":[84,165],"natural":[85],"practical":[87],"appeal,":[88],"it":[89],"has":[90,117],"been":[91,119],"subject":[93],"study":[95,132],"economics":[97],"under":[98,187],"topic":[100],"\u201cFair":[102],"Division\u201d.":[103],"To":[104],"best":[105],"our":[107],"knowledge":[108],"role":[110],"partial":[112],"information":[113,125],"not":[118],"studied":[120],"so":[121],"far":[122],"from":[123],"an":[124,217],"theoretic":[126],"perspective.":[127],"In":[128],"this":[129,205],"paper":[130],"we":[131,174,215],"two":[133,150],"important":[134],"algorithms":[135],"division,":[138],"namely":[139],"\u201cdivide":[140],"choose\u201d":[142],"\u201cadjusted":[144],"winner\u201d":[145],"case":[148],"We":[152],"quantify":[153],"benefit":[155],"negotiation":[157],"divide":[160],"choose":[162],"algorithm,":[163],"use":[166],"tricking":[168],"adjusted":[170],"winner":[171],"algorithm.":[172],"Lastly":[173],"consider":[175],"algorithm":[178],"maximizing":[180],"overall":[182],"welfare":[183],"Nash":[189,225],"collective":[190],"utility":[191],"function":[192],"(CUF).":[193],"This":[194],"corresponds":[195],"clustering":[198,229],"problem.":[199],"Drawing":[200],"conceptual":[202],"link":[203],"between":[204],"portfolio":[209],"selection":[210],"stock":[213],"markets,":[214],"prove":[216],"upper":[218],"bound":[219],"increase":[222],"CUF":[226],"refinement.":[230]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}