{"id":"https://openalex.org/W2811269897","doi":"https://doi.org/10.1145/3219166.3219227","title":"Cycles in Zero-Sum Differential Games and Biological Diversity","display_name":"Cycles in Zero-Sum Differential Games and Biological Diversity","publication_year":2018,"publication_date":"2018-06-11","ids":{"openalex":"https://openalex.org/W2811269897","doi":"https://doi.org/10.1145/3219166.3219227","mag":"2811269897"},"language":"en","primary_location":{"id":"doi:10.1145/3219166.3219227","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3219166.3219227","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3219166.3219227","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2018 ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3219166.3219227","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007368820","display_name":"Tung Mai","orcid":"https://orcid.org/0009-0006-1081-5627"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tung Mai","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071943092","display_name":"Milena Mihail","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Milena Mihail","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083207837","display_name":"Ioannis Panageas","orcid":"https://orcid.org/0000-0003-0577-4147"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ioannis Panageas","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112442250","display_name":"Will Ratcliff","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Ratcliff","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007368382","display_name":"Vijay V. Vazirani","orcid":"https://orcid.org/0000-0002-4106-9077"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vijay Vazirani","raw_affiliation_strings":["University of California, Irvine, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011104273","display_name":"Peter J. Yunker","orcid":"https://orcid.org/0000-0001-8471-4171"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Yunker","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0253,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.97053726,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"339","last_page":"350"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5978356003761292},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5866530537605286},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.5659306645393372},{"id":"https://openalex.org/keywords/replicator-equation","display_name":"Replicator equation","score":0.5315729379653931},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.508410632610321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49295639991760254},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.46876877546310425},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45461663603782654},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4353371858596802},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3807483911514282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36219513416290283},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20921793580055237},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1211288571357727},{"id":"https://openalex.org/keywords/evolutionary-biology","display_name":"Evolutionary biology","score":0.11876055598258972},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11810141801834106}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5978356003761292},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5866530537605286},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.5659306645393372},{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.5315729379653931},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.508410632610321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49295639991760254},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.46876877546310425},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45461663603782654},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4353371858596802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3807483911514282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36219513416290283},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20921793580055237},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1211288571357727},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.11876055598258972},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11810141801834106},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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":1,"locations":[{"id":"doi:10.1145/3219166.3219227","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3219166.3219227","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3219166.3219227","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2018 ACM Conference on Economics and Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3219166.3219227","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3219166.3219227","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3219166.3219227","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2018 ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G8356392248","display_name":"AF: Small: Algorithms for Matching, Markets, and Matching-Markets","funder_award_id":"1815901","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2811269897.pdf","grobid_xml":"https://content.openalex.org/works/W2811269897.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1485350260","https://openalex.org/W1510747849","https://openalex.org/W1567092208","https://openalex.org/W1581842928","https://openalex.org/W1659904137","https://openalex.org/W1974668020","https://openalex.org/W1976216831","https://openalex.org/W2004909987","https://openalex.org/W2030596540","https://openalex.org/W2031305180","https://openalex.org/W2034464888","https://openalex.org/W2045097697","https://openalex.org/W2055743467","https://openalex.org/W2065869805","https://openalex.org/W2069253286","https://openalex.org/W2075107152","https://openalex.org/W2080230832","https://openalex.org/W2081700005","https://openalex.org/W2085728653","https://openalex.org/W2092703236","https://openalex.org/W2099471712","https://openalex.org/W2100407787","https://openalex.org/W2117031073","https://openalex.org/W2130582949","https://openalex.org/W2146762496","https://openalex.org/W2167073771","https://openalex.org/W2184165138","https://openalex.org/W2335728124","https://openalex.org/W2396009281","https://openalex.org/W2502094132","https://openalex.org/W2549525793","https://openalex.org/W2560674852","https://openalex.org/W2575731723","https://openalex.org/W2580211036","https://openalex.org/W2739748921","https://openalex.org/W2765094320","https://openalex.org/W2888914392","https://openalex.org/W2963847356","https://openalex.org/W2963875499","https://openalex.org/W2964067523","https://openalex.org/W3014620098","https://openalex.org/W3025136633","https://openalex.org/W4236960893"],"related_works":["https://openalex.org/W2492651500","https://openalex.org/W1615974028","https://openalex.org/W4287869118","https://openalex.org/W2142283420","https://openalex.org/W3005585050","https://openalex.org/W4297173279","https://openalex.org/W3122278427","https://openalex.org/W2794799830","https://openalex.org/W4241847945","https://openalex.org/W4205762803"],"abstract_inverted_index":{"Negative":[0],"frequency-dependent":[1,113],"selection":[2],"(i.e.,":[3],"declining":[4],"fitness":[5],"with":[6,108,194],"increased":[7],"frequency":[8],"in":[9,67,92,102,106,118,135,185,188],"the":[10,18,58,72,77,81,103,109,136,190],"population)":[11],"is":[12,37,116,158],"thought":[13],"to":[14,76,122,168,173],"be":[15,166],"one":[16],"of":[17,42,57,63,80,89,98,111,138],"factors":[19],"that":[20,144,162,175],"maintains":[21],"biological":[22],"diversity.":[23],"In":[24,120],"this":[25,148],"paper,":[26],"we":[27,132],"give":[28],"a":[29,48,55,69,87,96,127,139],"concrete":[30],"mathematical":[31],"argument":[32],"supporting":[33],"this.":[34],"Our":[35],"model":[36,65,123],"as":[38,86,95,126],"follows:":[39],"A":[40],"collection":[41],"species":[43,82,153],"derive":[44],"their":[45],"fitnesses":[46,79],"via":[47],"rock-paper-scissors-type":[49],"game":[50,125],"whose":[51],"precise":[52],"payoffs":[53,84,104],"are":[54,105],"function":[56,88,97,192],"environment.":[59],"The":[60,100],"new":[61],"aspect":[62],"our":[64,124,163],"lies":[66],"adding":[68],"feedback":[70],"loop:":[71],"environment":[73],"changes":[74,94,101,193],"according":[75],"relative":[78],"(hence,":[83],"change":[85],"fitness,":[90],"which":[91,115,189],"turn":[93],"payoffs).":[99],"keeping":[107],"principle":[110],"negative":[112],"selection,":[114],"widespread":[117],"nature.":[119],"order":[121,177],"continuous":[128],"time":[129],"dynamical":[130],"system,":[131],"cast":[133],"it":[134],"setting":[137],"differential":[140],"game.":[141],"We":[142,160],"show":[143,174],"for":[145],"certain":[146],"parameters,":[147],"dynamics":[149],"cycles,":[150],"i.e.,":[151],"no":[152],"goes":[154],"extinct":[155],"and":[156,170],"diversity":[157],"maintained.":[159],"believe":[161],"techniques":[164],"can":[165],"applied":[167],"optimization":[169],"machine":[171],"learning":[172],"first":[176],"methods":[178],"(e.g.,":[179],"gradient":[180],"descent/ascent)":[181],"do":[182],"cycle":[183],"even":[184],"online":[186],"settings":[187],"loss":[191],"time.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}