{"id":"https://openalex.org/W1984955625","doi":"https://doi.org/10.1162/artl_a_00220","title":"Invasion of Cooperation in Scale-Free Networks: Accumulated versus Average Payoffs","display_name":"Invasion of Cooperation in Scale-Free Networks: Accumulated versus Average Payoffs","publication_year":2017,"publication_date":"2017-01-31","ids":{"openalex":"https://openalex.org/W1984955625","doi":"https://doi.org/10.1162/artl_a_00220","mag":"1984955625","pmid":"https://pubmed.ncbi.nlm.nih.gov/28140631"},"language":"en","primary_location":{"id":"doi:10.1162/artl_a_00220","is_oa":false,"landing_page_url":"https://doi.org/10.1162/artl_a_00220","pdf_url":null,"source":{"id":"https://openalex.org/S2181302","display_name":"Artificial Life","issn_l":"1064-5462","issn":["1064-5462","1530-9185"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Life","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1412.2311","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Genki Ichinose","orcid":null},"institutions":[{"id":"https://openalex.org/I1298590031","display_name":"Shizuoka University","ror":"https://ror.org/01w6wtk13","country_code":"JP","type":"education","lineage":["https://openalex.org/I1298590031"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Genki Ichinose","raw_affiliation_strings":["Shizuoka University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shizuoka University","institution_ids":["https://openalex.org/I1298590031"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hiroki Sayama","orcid":null},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hiroki Sayama","raw_affiliation_strings":["Binghamton University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Binghamton University","institution_ids":["https://openalex.org/I123946342"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.2892,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.97838561,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"1","first_page":"25","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.9193000197410583},{"id":"https://openalex.org/keywords/evolutionary-dynamics","display_name":"Evolutionary dynamics","score":0.5587999820709229},{"id":"https://openalex.org/keywords/evolutionarily-stable-strategy","display_name":"Evolutionarily stable strategy","score":0.46309998631477356},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.4171000123023987},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.3610999882221222},{"id":"https://openalex.org/keywords/biological-evolution","display_name":"Biological evolution","score":0.3310000002384186}],"concepts":[{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.9193000197410583},{"id":"https://openalex.org/C171578705","wikidata":"https://www.wikidata.org/wiki/Q5418700","display_name":"Evolutionary dynamics","level":3,"score":0.5587999820709229},{"id":"https://openalex.org/C2519700","wikidata":"https://www.wikidata.org/wiki/Q1069992","display_name":"Evolutionarily stable strategy","level":3,"score":0.46309998631477356},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.4171000123023987},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.4059999883174896},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.38600000739097595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3853999972343445},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.3610999882221222},{"id":"https://openalex.org/C2988562018","wikidata":"https://www.wikidata.org/wiki/Q1063","display_name":"Biological evolution","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29499998688697815},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2904999852180481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28940001130104065},{"id":"https://openalex.org/C20249471","wikidata":"https://www.wikidata.org/wiki/Q2298789","display_name":"Evolutionary game theory","level":3,"score":0.2858999967575073},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.2824999988079071},{"id":"https://openalex.org/C47993264","wikidata":"https://www.wikidata.org/wiki/Q1518456","display_name":"Traveler's dilemma","level":5,"score":0.26510000228881836},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2558000087738037}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003299","descriptor_name":"Cooperative Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003299","descriptor_name":"Cooperative Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003299","descriptor_name":"Cooperative Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1162/artl_a_00220","is_oa":false,"landing_page_url":"https://doi.org/10.1162/artl_a_00220","pdf_url":null,"source":{"id":"https://openalex.org/S2181302","display_name":"Artificial Life","issn_l":"1064-5462","issn":["1064-5462","1530-9185"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Life","raw_type":"journal-article"},{"id":"pmid:28140631","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28140631","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial life","raw_type":null},{"id":"pmh:oai:arXiv.org:1412.2311","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.2311","pdf_url":"https://arxiv.org/pdf/1412.2311","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1412.2311","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.2311","pdf_url":"https://arxiv.org/pdf/1412.2311","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984955625.pdf","grobid_xml":"https://content.openalex.org/works/W1984955625.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1976136553","https://openalex.org/W1977191105","https://openalex.org/W1982850584","https://openalex.org/W1991908851","https://openalex.org/W1997418576","https://openalex.org/W2000929155","https://openalex.org/W2008620264","https://openalex.org/W2013497788","https://openalex.org/W2019970805","https://openalex.org/W2023097644","https://openalex.org/W2025490132","https://openalex.org/W2037107689","https://openalex.org/W2040301417","https://openalex.org/W2045958047","https://openalex.org/W2055526328","https://openalex.org/W2071312029","https://openalex.org/W2101739443","https://openalex.org/W2110031473","https://openalex.org/W2121650795","https://openalex.org/W2122934142","https://openalex.org/W2132977878","https://openalex.org/W2167062553","https://openalex.org/W2168291488","https://openalex.org/W2169258361","https://openalex.org/W2301070143"],"related_works":[],"abstract_inverted_index":{"It":[0],"is":[1,48,119],"well":[2],"known":[3,49],"that":[4,40,117],"cooperation":[5,55,76,118,151],"cannot":[6],"be":[7],"an":[8],"evolutionarily":[9],"stable":[10],"strategy":[11],"for":[12,153,161,167,184],"a":[13,17,175],"non-iterative":[14],"game":[15],"in":[16,56,77,179],"well-mixed":[18],"population.":[19],"In":[20],"contrast,":[21],"structured":[22],"populations":[23],"favor":[24],"cooperation,":[25],"since":[26],"cooperators":[27,85],"can":[28,86],"benefit":[29],"each":[30],"other":[31],"by":[32,89,97],"forming":[33],"local":[34],"clusters.":[35],"Previous":[36],"studies":[37],"have":[38],"shown":[39],"scale-free":[41,57,78],"networks":[42,79],"strongly":[43,120],"promote":[44],"cooperation.":[45],"However,":[46,133],"little":[47],"about":[50],"the":[51,73,92,98,123,129,134,137,142,147,154,162,168,185],"invasion":[52],"mechanism":[53],"of":[54,65,75,100],"networks.":[58],"To":[59],"study":[60],"microscopic":[61],"and":[62,111],"macroscopic":[63],"behaviors":[64],"cooperators'":[66],"invasion,":[67],"we":[68,102],"conducted":[69],"computational":[70],"experiments":[71],"on":[72],"evolution":[74],"where,":[80],"starting":[81],"from":[82],"all":[83],"defectors,":[84],"spontaneously":[87],"emerge":[88],"mutation.":[90],"Since":[91],"evolutionary":[93],"dynamics":[94],"are":[95],"influenced":[96],"definition":[99],"fitness,":[101,157,171],"tested":[103],"two":[104,138],"commonly":[105],"adopted":[106],"fitness":[107,126],"functions:":[108],"accumulated":[109,124,155,186],"payoff":[110,125,131,156,164,170,187],"average":[112,130,143,148,163,169],"payoff.":[113],"Simulation":[114],"results":[115],"show":[116],"enhanced":[121],"with":[122],"compared":[127],"to":[128],"fitness.":[132,165,188],"difference":[135],"between":[136],"functions":[139],"decreases":[140,152],"as":[141],"degree":[144,149],"increases.":[145],"As":[146],"increases,":[150],"while":[158],"it":[159],"increases":[160],"Moreover,":[166],"low-degree":[172],"nodes":[173],"play":[174],"more":[176],"important":[177],"role":[178],"spreading":[180],"cooperative":[181],"strategies":[182],"than":[183]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
