{"id":"https://openalex.org/W7220669346","doi":"https://doi.org/10.1103/yvh4-8yxx","title":"Long-range social pressure and the evolution of cooperation in multiplex networks","display_name":"Long-range social pressure and the evolution of cooperation in multiplex networks","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220669346","doi":"https://doi.org/10.1103/yvh4-8yxx"},"language":"en","primary_location":{"id":"doi:10.1103/yvh4-8yxx","doi":"https://doi.org/10.1103/yvh4-8yxx","is_oa":false,"landing_page_url":"https://doi.org/10.1103/yvh4-8yxx","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.06056","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013979182","display_name":"Mar\u00eda Pereda","orcid":"https://orcid.org/0000-0002-6151-1176","observed_orcids":["https://orcid.org/0000-0002-6151-1176"]},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mar\u00eda Pereda","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid"],"raw_orcid":"https://orcid.org/0000-0002-6151-1176","affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140275036","display_name":"Gabrielle Muller","orcid":"https://orcid.org/0009-0004-6589-0638","observed_orcids":["https://orcid.org/0009-0004-6589-0638"]},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gabrielle Muller","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid"],"raw_orcid":"https://orcid.org/0009-0004-6589-0638","affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.77818586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"5","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":0.9980000257492065,"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":0.9980000257492065,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.0008999999845400453,"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"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/social-pressure","display_name":"social pressure","score":0.7260000109672546},{"id":"https://openalex.org/keywords/evolution-of-cooperation","display_name":"evolution of cooperation","score":0.5960000157356262},{"id":"https://openalex.org/keywords/multiplex-networks","display_name":"multiplex networks","score":0.9490000009536743},{"id":"https://openalex.org/keywords/social-vigilance","display_name":"social vigilance","score":0.7440000176429749},{"id":"https://openalex.org/keywords/prisoner-s-dilemma","display_name":"prisoner's dilemma","score":0.8790000081062317},{"id":"https://openalex.org/keywords/temptation-to-defect","display_name":"temptation to defect","score":0.7239999771118164},{"id":"https://openalex.org/keywords/network-topology","display_name":"network topology","score":0.6449999809265137},{"id":"https://openalex.org/keywords/barabasi-albert-scale-free-networks","display_name":"Barab\u00e1si-Albert scale-free networks","score":0.8600000143051147},{"id":"https://openalex.org/keywords/erdos-renyi-graphs","display_name":"Erd\u0151s-R\u00e9nyi random graphs","score":0.8999999761581421},{"id":"https://openalex.org/keywords/online-social-networks","display_name":"social networking sites","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5092999935150146},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3230000138282776},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.31839999556541443},{"id":"https://openalex.org/C2781188995","wikidata":"https://www.wikidata.org/wiki/Q6934982","display_name":"Multiplex","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2831999957561493},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.2816999852657318},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2816999852657318},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C2992130448","wikidata":"https://www.wikidata.org/wiki/Q784843","display_name":"Social pressure","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C114713312","wikidata":"https://www.wikidata.org/wiki/Q7551269","display_name":"Social network analysis","level":3,"score":0.25360000133514404},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.25279998779296875},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/yvh4-8yxx","doi":"https://doi.org/10.1103/yvh4-8yxx","is_oa":false,"landing_page_url":"https://doi.org/10.1103/yvh4-8yxx","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2607.06056","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.06056","pdf_url":"https://arxiv.org/pdf/2607.06056","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2607.06056","doi":"https://doi.org/10.48550/arxiv.2607.06056","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.06056","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2607.06056","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.06056","pdf_url":"https://arxiv.org/pdf/2607.06056","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220669346.pdf","grobid_xml":"https://content.openalex.org/works/W7220669346.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1992195122","https://openalex.org/W1994918139","https://openalex.org/W1997418576","https://openalex.org/W2008620264","https://openalex.org/W2025490132","https://openalex.org/W2083689991","https://openalex.org/W2098005762","https://openalex.org/W2110161496","https://openalex.org/W2114696370","https://openalex.org/W2118745042","https://openalex.org/W2130863673","https://openalex.org/W2131416952","https://openalex.org/W2150208547","https://openalex.org/W2154715890","https://openalex.org/W2516536493","https://openalex.org/W2551605243","https://openalex.org/W2573640531","https://openalex.org/W2618208446","https://openalex.org/W2797105966","https://openalex.org/W3033513666","https://openalex.org/W3037826211","https://openalex.org/W3152686726","https://openalex.org/W3202715456","https://openalex.org/W4312512934","https://openalex.org/W4318819143","https://openalex.org/W4403027751","https://openalex.org/W4417498005"],"related_works":["https://openalex.org/W3137477335","https://openalex.org/W4231514018","https://openalex.org/W2516536493","https://openalex.org/W6906617556","https://openalex.org/W3216755791","https://openalex.org/W2568519210","https://openalex.org/W2563444248","https://openalex.org/W2504133335","https://openalex.org/W2767401255","https://openalex.org/W3087584236"],"abstract_inverted_index":{"Social":[0],"pressure---the":[1],"awareness":[2],"of":[3,11,44,53,70,95,139,162,193,232,246],"being":[4],"observed":[5],"by":[6,104,119,238],"others---is":[7],"a":[8,64,71,75,189,222],"fundamental":[9],"driver":[10],"prosocial":[12],"behavior":[13,248],"in":[14,107,122,142,152,166,173,195,249],"human":[15,250],"societies.":[16],"Yet":[17],"it":[18],"is":[19,149,171],"typically":[20],"assumed":[21],"that":[22,35,49,177,228],"only":[23],"direct":[24,57],"neighbors":[25,58],"exert":[26],"vigilance":[27,55,76,89,179],"pressure":[28],"on":[29,67,78,188,204],"an":[30],"individual,":[31],"despite":[32],"empirical":[33],"evidence":[34],"social":[36,54,163,191,233,240],"influence":[37,82,96,164,207],"persists":[38],"to":[39,74,90,112],"at":[40],"least":[41],"three":[42],"degrees":[43],"separation.":[45],"Here":[46],"we":[47],"show":[48],"extending":[50],"the":[51,79,92,99,123,131,140,147,159,178,199,218,244],"reach":[52],"beyond":[56],"substantially":[59,242],"promotes":[60],"cooperation.":[61],"We":[62],"couple":[63],"Prisoner's":[65],"Dilemma":[66],"one":[68],"layer":[69],"multiplex":[72],"network":[73,86,192],"cascade":[77],"other,":[80],"with":[81,85,158,209],"decaying":[83],"geometrically":[84],"distance.":[87],"Extending":[88,111],"just":[91],"second":[93],"circle":[94],"($L=2$)":[97],"shifts":[98,127],"critical":[100],"temptation":[101],"for":[102,137],"defection":[103],"roughly":[105],"36\\%":[106],"sparse":[108,144,174],"Erd\u0151s--R\u00e9nyi":[109],"networks.":[110,125],"four":[113],"circles":[114],"($L=4$)":[115],"raises":[116],"this":[117],"threshold":[118],"over":[120],"50\\%":[121],"same":[124],"Both":[126],"are":[128],"topology":[129],"dependent:":[130],"$L=1\\to2$":[132],"step":[133],"alone":[134],"already":[135],"accounts":[136],"most":[138],"gain":[141,200],"these":[143],"networks,":[145,156,175],"whereas":[146],"pattern":[148],"more":[150],"gradual":[151],"denser,":[153],"hub-dominated":[154,197],"Barab\u00e1si--Albert":[155],"consistent":[157],"decay":[160,219],"coefficients":[161],"reported":[165],"controlled":[167],"experiments.":[168],"The":[169],"effect":[170],"strongest":[172],"requires":[176],"and":[180,185,214],"game":[181],"layers":[182],"be":[183],"aligned,":[184],"reproduces":[186],"directly":[187],"real":[190],"physicians;":[194],"dense,":[196],"networks":[198],"instead":[201],"depends":[202],"sharply":[203],"how":[205],"fast":[206],"decays":[208],"distance,":[210],"switching":[211],"between":[212],"weak":[213],"strong":[215],"cooperation":[216],"as":[217,235],"rate":[220],"crosses":[221],"threshold.":[223],"Our":[224],"results":[225],"strongly":[226],"suggest":[227],"even":[229],"modest":[230],"expansions":[231],"awareness---such":[234],"those":[236],"enabled":[237],"online":[239],"platforms---can":[241],"reshape":[243],"landscape":[245],"cooperative":[247],"populations.":[251]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-07T00:00:00"}