{"id":"https://openalex.org/W2554866957","doi":null,"title":"Minimum cost and the emergence of the Zipf-Mandelbrot law","display_name":"Minimum cost and the emergence of the Zipf-Mandelbrot law","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2554866957","mag":"2554866957"},"language":"en","primary_location":{"id":"mag:2554866957","doi":null,"is_oa":false,"landing_page_url":"https://pure.uvt.nl/ws/files/680555/minimum.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"book","indexed_in":[],"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/A5065211438","display_name":"Jordan B. Pollack","orcid":"https://orcid.org/0009-0008-0819-3819","observed_orcids":["https://orcid.org/0009-0008-0819-3819"]},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jordan Pollack","raw_affiliation_strings":["Brandeis University"],"raw_orcid":"https://orcid.org/0009-0008-0819-3819","affiliations":[{"raw_affiliation_string":"Brandeis University","institution_ids":["https://openalex.org/I6902469"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055738163","display_name":"Mark A. Bedau","orcid":"https://orcid.org/0009-0008-1284-8240","observed_orcids":["https://orcid.org/0009-0008-1284-8240"]},"institutions":[{"id":"https://openalex.org/I55486353","display_name":"Reed College","ror":"https://ror.org/00a6ram87","country_code":"US","type":"education","lineage":["https://openalex.org/I55486353"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark A. Bedau","raw_affiliation_strings":["Reed College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Reed College","institution_ids":["https://openalex.org/I55486353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078148231","display_name":"Phil Husbands","orcid":"https://orcid.org/0000-0002-5164-4004","observed_orcids":["https://orcid.org/0000-0002-5164-4004"]},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Phil Husbands","raw_affiliation_strings":["University of Sussex,"],"raw_orcid":"https://orcid.org/0000-0002-5164-4004","affiliations":[{"raw_affiliation_string":"University of Sussex,","institution_ids":["https://openalex.org/I162608824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082699760","display_name":"Richard A. R. Watson","orcid":"https://orcid.org/0000-0002-2521-8255","observed_orcids":["https://orcid.org/0000-0002-2521-8255"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Richard A. Watson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2521-8255","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017498156","display_name":"Takashi Ikegami","orcid":"https://orcid.org/0000-0001-6250-0236","observed_orcids":["https://orcid.org/0000-0001-6250-0236"]},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Ikegami","raw_affiliation_strings":["Univ.\\ of Tokyo"],"raw_orcid":"https://orcid.org/0000-0001-6250-0236","affiliations":[{"raw_affiliation_string":"Univ.\\ of Tokyo","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7951,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.96996862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"214","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12090","display_name":"Language and cultural evolution","score":0.9423999786376953,"subfield":{"id":"https://openalex.org/subfields/3316","display_name":"Cultural Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12090","display_name":"Language and cultural evolution","score":0.9423999786376953,"subfield":{"id":"https://openalex.org/subfields/3316","display_name":"Cultural Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10034","display_name":"Syntax, Semantics, Linguistic Variation","score":0.02810000069439411,"subfield":{"id":"https://openalex.org/subfields/1203","display_name":"Language and Linguistics"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12694","display_name":"Categorization, perception, and language","score":0.011300000362098217,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/zipf-mandelbrot-law","display_name":"Zipf-Mandelbrot law","score":0.9959999918937683},{"id":"https://openalex.org/keywords/language-emergence","display_name":"language emergence","score":0.5669999718666077},{"id":"https://openalex.org/keywords/iterated-learning","display_name":"iterated learning","score":0.9990000128746033},{"id":"https://openalex.org/keywords/categorization","display_name":"categorization","score":0.5389999747276306},{"id":"https://openalex.org/keywords/sensory-stimuli","display_name":"sensory stimuli","score":0.6700000166893005},{"id":"https://openalex.org/keywords/general-terms","display_name":"general terms","score":0.46000000834465027},{"id":"https://openalex.org/keywords/cost-minimization","display_name":"cost minimization","score":0.5389999747276306},{"id":"https://openalex.org/keywords/frequency-distribution","display_name":"frequency distribution","score":0.3479999899864197}],"concepts":[{"id":"https://openalex.org/C125932096","wikidata":"https://www.wikidata.org/wiki/Q205472","display_name":"Zipf's law","level":2,"score":0.9515295624732971},{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.6192918419837952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4978599548339844},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49501556158065796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42419394850730896},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3598141670227051},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.34383946657180786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2813616693019867},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.16501441597938538},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1329476237297058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2554866957","doi":null,"is_oa":false,"landing_page_url":"https://pure.uvt.nl/ws/files/680555/minimum.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W9606137","https://openalex.org/W40188045","https://openalex.org/W1536312585","https://openalex.org/W1583488884","https://openalex.org/W1607471530","https://openalex.org/W2009047999","https://openalex.org/W2087951874","https://openalex.org/W2092655158","https://openalex.org/W2122111042","https://openalex.org/W2124156735","https://openalex.org/W2131697642","https://openalex.org/W2160783091","https://openalex.org/W2170166416","https://openalex.org/W2170521549","https://openalex.org/W2312217865","https://openalex.org/W2321470647","https://openalex.org/W3035258717"],"related_works":["https://openalex.org/W7100707484","https://openalex.org/W2174465095","https://openalex.org/W373744626","https://openalex.org/W2346863639","https://openalex.org/W2096954165","https://openalex.org/W2032349978","https://openalex.org/W6925264801","https://openalex.org/W2009047999","https://openalex.org/W3104950195","https://openalex.org/W3010573752"],"abstract_inverted_index":{"This":[0],"paper":[1],"illustrates":[2],"how":[3],"the":[4,16,27,52,57,66,89,92],"Zipf-Mandelbrot":[5],"law":[6],"can":[7,86],"emerge":[8],"in":[9,30,48,61,65,79],"language":[10,53],"as":[11],"a":[12,49,75],"result":[13],"of":[14,18,40,51,68,91],"minimising":[15],"cost":[17],"categorising":[19],"sensory":[20,32],"images.":[21],"The":[22,43,71],"categorisation":[23],"is":[24,46,63,83],"based":[25],"on":[26],"discrimination":[28,44],"game":[29,45,54],"which":[31,60,82],"stimuli":[33],"are":[34],"categorised":[35],"at":[36],"different":[37],"hierarchical":[38],"layers":[39],"increasing":[41],"density.":[42],"embedded":[47,64],"variant":[50],"model,":[55],"called":[56],"selfish":[58],"game,":[59],"turn":[62],"framework":[67],"iterated":[69],"learning.":[70],"results":[72],"indicate":[73],"that":[74],"tendency":[76],"to":[77,88],"communicate":[78],"general":[80],"tenns,":[81],"less":[84],"costly,":[85],"contribute":[87],"emergence":[90],"Zipf-":[93],"Mandelbrot":[94],"law.":[95]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-11-30T00:00:00"}