{"id":"https://openalex.org/W1985832459","doi":"https://doi.org/10.1007/s13235-011-0025-4","title":"The Diffusion Approximation of Stochastic Evolutionary Game Dynamics: Mean Effective Fixation Time and the Significance of the One-Third Law","display_name":"The Diffusion Approximation of Stochastic Evolutionary Game Dynamics: Mean Effective Fixation Time and the Significance of the One-Third Law","publication_year":2011,"publication_date":"2011-07-20","ids":{"openalex":"https://openalex.org/W1985832459","doi":"https://doi.org/10.1007/s13235-011-0025-4","mag":"1985832459"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-011-0025-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-011-0025-4","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5084216831","display_name":"Xiu-Deng Zheng","orcid":"https://orcid.org/0000-0003-1143-0797"},"institutions":[{"id":"https://openalex.org/I4210167311","display_name":"Institute of Zoology","ror":"https://ror.org/05skxkv18","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210167311"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiudeng Zheng","raw_affiliation_strings":["Key Lab of Animal Ecology and Conservational Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China","Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Key Lab of Animal Ecology and Conservational Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210167311","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037777111","display_name":"Ross Cressman","orcid":null},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ross Cressman","raw_affiliation_strings":["Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada","WIlfrid Laurier University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I75381157"]},{"raw_affiliation_string":"WIlfrid Laurier University","institution_ids":["https://openalex.org/I75381157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000737913","display_name":"Yi Tao","orcid":"https://orcid.org/0000-0002-0749-6614"},"institutions":[{"id":"https://openalex.org/I4210167311","display_name":"Institute of Zoology","ror":"https://ror.org/05skxkv18","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210167311"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Tao","raw_affiliation_strings":["Key Lab of Animal Ecology and Conservational Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China","Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Key Lab of Animal Ecology and Conservational Biology, Centre for Computational and Evolutionary Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210167311","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084216831"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210167311"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.19091312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":"3","first_page":"462","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.6318647861480713},{"id":"https://openalex.org/keywords/fixation","display_name":"Fixation (population genetics)","score":0.6168668270111084},{"id":"https://openalex.org/keywords/evolutionary-dynamics","display_name":"Evolutionary dynamics","score":0.570307731628418},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5027041435241699},{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"Heavy traffic approximation","score":0.5015749931335449},{"id":"https://openalex.org/keywords/stochastic-dominance","display_name":"Stochastic dominance","score":0.49632006883621216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48112812638282776},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.47964340448379517},{"id":"https://openalex.org/keywords/evolutionarily-stable-strategy","display_name":"Evolutionarily stable strategy","score":0.47917428612709045},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.41703566908836365},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33914458751678467},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3385021686553955},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3330751657485962},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.30115586519241333},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19552326202392578},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11541131138801575},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.11132696270942688}],"concepts":[{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.6318647861480713},{"id":"https://openalex.org/C146249460","wikidata":"https://www.wikidata.org/wiki/Q2914991","display_name":"Fixation (population genetics)","level":3,"score":0.6168668270111084},{"id":"https://openalex.org/C171578705","wikidata":"https://www.wikidata.org/wiki/Q5418700","display_name":"Evolutionary dynamics","level":3,"score":0.570307731628418},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5027041435241699},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.5015749931335449},{"id":"https://openalex.org/C33252445","wikidata":"https://www.wikidata.org/wiki/Q3713315","display_name":"Stochastic dominance","level":2,"score":0.49632006883621216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48112812638282776},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.47964340448379517},{"id":"https://openalex.org/C2519700","wikidata":"https://www.wikidata.org/wiki/Q1069992","display_name":"Evolutionarily stable strategy","level":3,"score":0.47917428612709045},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.41703566908836365},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33914458751678467},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3385021686553955},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3330751657485962},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.30115586519241333},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19552326202392578},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11541131138801575},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.11132696270942688},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s13235-011-0025-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13235-011-0025-4","pdf_url":null,"source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:dyngam:v:1:y:2011:i:3:p:462-477","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s13235-011-0025-4","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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W156812643","https://openalex.org/W654187099","https://openalex.org/W1486687115","https://openalex.org/W1517235484","https://openalex.org/W1567092208","https://openalex.org/W1960974220","https://openalex.org/W1967829443","https://openalex.org/W1978080183","https://openalex.org/W1988364033","https://openalex.org/W1998952578","https://openalex.org/W1999327554","https://openalex.org/W2009894386","https://openalex.org/W2010431664","https://openalex.org/W2017277760","https://openalex.org/W2024997496","https://openalex.org/W2028829310","https://openalex.org/W2031564575","https://openalex.org/W2050630722","https://openalex.org/W2085728653","https://openalex.org/W2102787760","https://openalex.org/W2104992036","https://openalex.org/W2117359342","https://openalex.org/W2127808790","https://openalex.org/W2142612324","https://openalex.org/W2244924016","https://openalex.org/W2332905493","https://openalex.org/W2581071829","https://openalex.org/W3008437073","https://openalex.org/W3023474322","https://openalex.org/W4229903236","https://openalex.org/W4233797297","https://openalex.org/W4242285942"],"related_works":["https://openalex.org/W4318681178","https://openalex.org/W2124209763","https://openalex.org/W4206213492","https://openalex.org/W4318302118","https://openalex.org/W4254590823","https://openalex.org/W2039346667","https://openalex.org/W2077520189","https://openalex.org/W3154657552","https://openalex.org/W2105347565","https://openalex.org/W3123639138"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"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":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}