{"id":"https://openalex.org/W4402627142","doi":"https://doi.org/10.1142/s0219525924500085","title":"PAYOFF-BASED PROBABILISTIC INTERACTION MODEL ON THE EVOLUTION OF COOPERATION IN SPATIAL PUBLIC GOODS GAME","display_name":"PAYOFF-BASED PROBABILISTIC INTERACTION MODEL ON THE EVOLUTION OF COOPERATION IN SPATIAL PUBLIC GOODS GAME","publication_year":2024,"publication_date":"2024-09-20","ids":{"openalex":"https://openalex.org/W4402627142","doi":"https://doi.org/10.1142/s0219525924500085"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525924500085","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525924500085","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","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":null,"display_name":"YAJIE LIU","orcid":"https://orcid.org/0009-0008-6724-1032"},"institutions":[{"id":"https://openalex.org/I34155123","display_name":"Hebei University of Science and Technology","ror":"https://ror.org/05h3pkk68","country_code":"CN","type":"education","lineage":["https://openalex.org/I34155123"]},{"id":"https://openalex.org/I4210164386","display_name":"Hebei Science and Technology Department","ror":"https://ror.org/05k812a28","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210164386"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YAJIE LIU","raw_affiliation_strings":["Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China"],"raw_orcid":"https://orcid.org/0009-0008-6724-1032","affiliations":[{"raw_affiliation_string":"Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I4210164386"]},{"raw_affiliation_string":"School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I34155123"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089106145","display_name":"Jinlong Ma","orcid":"https://orcid.org/0000-0002-4288-6327"},"institutions":[{"id":"https://openalex.org/I34155123","display_name":"Hebei University of Science and Technology","ror":"https://ror.org/05h3pkk68","country_code":"CN","type":"education","lineage":["https://openalex.org/I34155123"]},{"id":"https://openalex.org/I4210164386","display_name":"Hebei Science and Technology Department","ror":"https://ror.org/05k812a28","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210164386"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JINLONG MA","raw_affiliation_strings":["Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4288-6327","affiliations":[{"raw_affiliation_string":"Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I4210164386"]},{"raw_affiliation_string":"School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I34155123"]}]},{"author_position":"middle","author":{"id":null,"display_name":"XIANGYANG XU","orcid":"https://orcid.org/0009-0004-5142-1574"},"institutions":[{"id":"https://openalex.org/I34155123","display_name":"Hebei University of Science and Technology","ror":"https://ror.org/05h3pkk68","country_code":"CN","type":"education","lineage":["https://openalex.org/I34155123"]},{"id":"https://openalex.org/I4210164386","display_name":"Hebei Science and Technology Department","ror":"https://ror.org/05k812a28","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210164386"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XIANGYANG XU","raw_affiliation_strings":["Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China"],"raw_orcid":"https://orcid.org/0009-0004-5142-1574","affiliations":[{"raw_affiliation_string":"Hebei Technology Innovation Center of Intelligent IoT, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I4210164386"]},{"raw_affiliation_string":"School of Information Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China","institution_ids":["https://openalex.org/I34155123"]}]},{"author_position":"last","author":{"id":null,"display_name":"YUPING LI","orcid":"https://orcid.org/0009-0003-5689-9609"},"institutions":[{"id":"https://openalex.org/I183006215","display_name":"Shijiazhuang University","ror":"https://ror.org/028rmam09","country_code":"CN","type":"education","lineage":["https://openalex.org/I183006215"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YUPING LI","raw_affiliation_strings":["Shijiazhuang University, Shijiazhuang 050035, P. R. China"],"raw_orcid":"https://orcid.org/0009-0003-5689-9609","affiliations":[{"raw_affiliation_string":"Shijiazhuang University, Shijiazhuang 050035, P. R. China","institution_ids":["https://openalex.org/I183006215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24046058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"07n08","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9857000112533569,"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":0.9857000112533569,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9452999830245972,"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":0.7666714191436768},{"id":"https://openalex.org/keywords/public-goods-game","display_name":"Public goods game","score":0.748942494392395},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6603565216064453},{"id":"https://openalex.org/keywords/public-good","display_name":"Public good","score":0.5258643627166748},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.49947214126586914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49817681312561035},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.4839477837085724},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.41941964626312256},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.41503220796585083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23462802171707153}],"concepts":[{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.7666714191436768},{"id":"https://openalex.org/C72273685","wikidata":"https://www.wikidata.org/wiki/Q1673101","display_name":"Public goods game","level":3,"score":0.748942494392395},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6603565216064453},{"id":"https://openalex.org/C162222271","wikidata":"https://www.wikidata.org/wiki/Q92779871","display_name":"Public good","level":2,"score":0.5258643627166748},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49947214126586914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49817681312561035},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.4839477837085724},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.41941964626312256},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.41503220796585083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23462802171707153}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219525924500085","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525924500085","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:27:y:2024:i:07n08:n:s0219525924500085","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525924500085","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":[{"display_name":"Partnerships for the goals","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1808371653","https://openalex.org/W1993962565","https://openalex.org/W2006192750","https://openalex.org/W2009171729","https://openalex.org/W2034109176","https://openalex.org/W2034262750","https://openalex.org/W2048634613","https://openalex.org/W2059107979","https://openalex.org/W2061357247","https://openalex.org/W2062663664","https://openalex.org/W2067149436","https://openalex.org/W2067899581","https://openalex.org/W2074254984","https://openalex.org/W2075782580","https://openalex.org/W2091450839","https://openalex.org/W2095522116","https://openalex.org/W2098655416","https://openalex.org/W2099540651","https://openalex.org/W2104702102","https://openalex.org/W2113962824","https://openalex.org/W2118847390","https://openalex.org/W2121869097","https://openalex.org/W2122811658","https://openalex.org/W2151136700","https://openalex.org/W2152844774","https://openalex.org/W2157521143","https://openalex.org/W2517279743","https://openalex.org/W2537626839","https://openalex.org/W2754917227","https://openalex.org/W2769057894","https://openalex.org/W2897212219","https://openalex.org/W2921885867","https://openalex.org/W2963371909","https://openalex.org/W2964193737","https://openalex.org/W2981542964","https://openalex.org/W2989963832","https://openalex.org/W2991559163","https://openalex.org/W3033513666","https://openalex.org/W3093582651","https://openalex.org/W3097806711","https://openalex.org/W3195240769","https://openalex.org/W4210428468","https://openalex.org/W4313354249","https://openalex.org/W4318567020"],"related_works":["https://openalex.org/W4206786872","https://openalex.org/W3006760926","https://openalex.org/W4210310202","https://openalex.org/W1562734811","https://openalex.org/W3002482730","https://openalex.org/W2150519907","https://openalex.org/W2099540651","https://openalex.org/W4311255695","https://openalex.org/W2790526478","https://openalex.org/W2150210681"],"abstract_inverted_index":{"In":[0,21,40],"the":[1,14,55,65,76,122,131,140,149],"spatial":[2],"public":[3],"goods":[4],"game":[5],"(SPGG),":[6],"punishment":[7],"effectively":[8],"promotes":[9],"cooperation":[10,104,110,163],"but":[11],"often":[12],"reduces":[13],"collective":[15],"benefits":[16],"of":[17,124,148],"cooperators":[18,137],"and":[19,37,58,105,136],"punishers.":[20],"order":[22],"to":[23,74,89,97,107],"increase":[24],"revenue,":[25],"we":[26],"propose":[27],"a":[28,80,92,98,108],"probabilistic":[29],"interaction":[30,77,115,159],"domain":[31,116],"model":[32],"considering":[33],"both":[34],"strategy":[35],"type":[36],"payoff":[38,56,66,94,132],"level.":[39,164],"this":[41],"model,":[42],"players":[43,50,60,126],"are":[44],"divided":[45],"into":[46],"two":[47],"types,":[48],"successful":[49,69],"with":[51,61],"payoffs":[52,62],"higher":[53,93,109],"than":[54,64,79],"threshold":[57,95],"failed":[59,81],"lower":[63],"threshold.":[67],"A":[68],"player":[70],"is":[71,87,153],"less":[72],"likely":[73],"change":[75],"range":[78],"player.":[82],"Through":[83],"extensive":[84],"simulations,":[85],"it":[86,152],"shown":[88],"verify":[90],"that":[91,155],"leads":[96],"more":[99],"pronounced":[100],"promotion":[101],"effect":[102],"on":[103,127],"corresponds":[106],"return.":[111],"Moreover,":[112],"introducing":[113],"dynamic":[114],"can":[117],"rapidly":[118],"remove":[119],"defectors":[120],"from":[121],"vicinity":[123],"cooperative":[125],"regular":[128],"lattices.":[129],"Reducing":[130],"gap":[133],"between":[134],"punishers":[135],"helps":[138],"mitigate":[139],"system\u2019s":[141],"second-order":[142],"free-riding":[143],"problem.":[144],"Additionally,":[145],"through":[146],"analysis":[147],"critical":[150],"parameters,":[151],"revised":[154],"incorporating":[156],"diversity":[157],"in":[158],"structures":[160],"substantively":[161],"enhances":[162]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}