{"id":"https://openalex.org/W4389051228","doi":"https://doi.org/10.3390/e25121585","title":"Dynamics of a Quantum Common-Pool Resource Game with Homogeneous Players\u2019 Expectations","display_name":"Dynamics of a Quantum Common-Pool Resource Game with Homogeneous Players\u2019 Expectations","publication_year":2023,"publication_date":"2023-11-25","ids":{"openalex":"https://openalex.org/W4389051228","doi":"https://doi.org/10.3390/e25121585","pmid":"https://pubmed.ncbi.nlm.nih.gov/38136465"},"language":"en","primary_location":{"id":"doi:10.3390/e25121585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121585","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1585/pdf?version=1701074161","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/12/1585/pdf?version=1701074161","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103203052","display_name":"Juan Grau-Climent","orcid":"https://orcid.org/0000-0002-1018-7265"},"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":"Juan Grau-Climent","raw_affiliation_strings":["Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-1018-7265","affiliations":[{"raw_affiliation_string":"Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047443563","display_name":"Luis Garc\u00eda-P\u00e9rez","orcid":"https://orcid.org/0000-0003-0087-881X"},"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":"Luis Garc\u00eda-P\u00e9rez","raw_affiliation_strings":["Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-0087-881X","affiliations":[{"raw_affiliation_string":"Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016689644","display_name":"Ram\u00f3n Alonso\u2010Sanz","orcid":"https://orcid.org/0000-0002-4668-2858"},"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":"Ramon Alonso-Sanz","raw_affiliation_strings":["Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019337230","display_name":"Juan Carlos Losada","orcid":"https://orcid.org/0000-0002-4373-603X"},"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":true,"raw_author_name":"Juan Carlos Losada","raw_affiliation_strings":["Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4373-603X","affiliations":[{"raw_affiliation_string":"Complex Systems Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019337230"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.2637,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65162112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"12","first_page":"1585","last_page":"1585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9846000075340271,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.6986690759658813},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6155706644058228},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5662005543708801},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5347548723220825},{"id":"https://openalex.org/keywords/symmetric-game","display_name":"Symmetric game","score":0.5132513046264648},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5132389068603516},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.510200023651123},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.5093084573745728},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.5034307837486267},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.42959505319595337},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.42818695306777954},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.42273151874542236},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4131259024143219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35472574830055237},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.32947009801864624},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32341474294662476},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28220683336257935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11986714601516724}],"concepts":[{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6986690759658813},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6155706644058228},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5662005543708801},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5347548723220825},{"id":"https://openalex.org/C93733245","wikidata":"https://www.wikidata.org/wiki/Q3770642","display_name":"Symmetric game","level":5,"score":0.5132513046264648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5132389068603516},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.510200023651123},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.5093084573745728},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.5034307837486267},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.42959505319595337},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.42818695306777954},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42273151874542236},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4131259024143219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35472574830055237},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.32947009801864624},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32341474294662476},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28220683336257935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11986714601516724},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e25121585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121585","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1585/pdf?version=1701074161","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:38136465","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38136465","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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:oa.upm.es:81958","is_oa":true,"landing_page_url":"https://oa.upm.es/81958/","pdf_url":"https://oa.upm.es/81958/1/10148714.pdf","source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, ISSN 1099-4300, 2023-12, Vol. 25, No. 12","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:10743055","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10743055","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10743055/pdf/entropy-25-01585.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:06a9c29edaa342cab62b30569ee9b23b","is_oa":true,"landing_page_url":"https://doaj.org/article/06a9c29edaa342cab62b30569ee9b23b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 12, p 1585 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e25121585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25121585","pdf_url":"https://www.mdpi.com/1099-4300/25/12/1585/pdf?version=1701074161","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389051228.pdf","grobid_xml":"https://content.openalex.org/works/W4389051228.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1498720233","https://openalex.org/W1982582947","https://openalex.org/W2003908419","https://openalex.org/W2016549420","https://openalex.org/W2016897023","https://openalex.org/W2031839214","https://openalex.org/W2063197559","https://openalex.org/W2070505816","https://openalex.org/W2084709990","https://openalex.org/W2127017105","https://openalex.org/W2156973128","https://openalex.org/W2210402937","https://openalex.org/W2226396244","https://openalex.org/W2314167689","https://openalex.org/W2785640805","https://openalex.org/W2947435389","https://openalex.org/W2951119771","https://openalex.org/W2991765580","https://openalex.org/W3038125555","https://openalex.org/W3038430009","https://openalex.org/W3045693918","https://openalex.org/W3088713371","https://openalex.org/W3096928883","https://openalex.org/W3154060763","https://openalex.org/W3206198558","https://openalex.org/W4233654598","https://openalex.org/W4296616977","https://openalex.org/W4303712425","https://openalex.org/W4324026462","https://openalex.org/W4365511096","https://openalex.org/W4385991021","https://openalex.org/W4386182989","https://openalex.org/W6629825631","https://openalex.org/W6651443855","https://openalex.org/W6747991652","https://openalex.org/W6850056392"],"related_works":["https://openalex.org/W2023280083","https://openalex.org/W2073992381","https://openalex.org/W2500523540","https://openalex.org/W1513451450","https://openalex.org/W2391693198","https://openalex.org/W3139383627","https://openalex.org/W183737592","https://openalex.org/W1973796260","https://openalex.org/W3175059945","https://openalex.org/W2884690177"],"abstract_inverted_index":{"In":[0,103],"this":[1,107,133,154],"work,":[2],"we":[3],"analyse":[4],"a":[5,29,55],"common-pool":[6],"resource":[7,120,142],"game":[8,34,51],"with":[9,25],"homogeneous":[10,26],"players":[11,128],"(both":[12],"have":[13],"boundedly":[14],"rational":[15],"expectations)":[16],"and":[17,84,170],"entanglement":[18],"between":[19],"players'":[20],"strategies.":[21],"The":[22,50,68,160],"quantum":[23],"model":[24,151],"expectations":[27],"is":[28,52,73,110,121,129,136,158],"differential":[30],"approach":[31],"to":[32,36,61,113,117,152,176],"the":[33,37,62,66,71,77,81,85,88,93,97,101,104,115,119,124,127,141,147,150,178,181],"since,":[35],"best":[38],"of":[39,65,70,87,96,106,126,149,168,180],"our":[40],"knowledge,":[41],"it":[42,109,157],"has":[43],"hardly":[44],"been":[45],"considered":[46],"in":[47,100,138],"previous":[48],"works.":[49],"represented":[53],"using":[54,173],"Cournot":[56],"type":[57],"payoff":[58],"functions,":[59],"limited":[60],"maximum":[63],"capacity":[64],"resource.":[67],"behaviour":[69,179],"dynamics":[72],"studied":[74,137],"considering":[75],"how":[76],"fixed":[78],"points":[79],"(particularly":[80],"Nash":[82],"equilibrium)":[83],"stability":[86],"system":[89],"vary":[90],"depending":[91],"on":[92],"different":[94],"values":[95],"parameters":[98,148],"involved":[99],"model.":[102],"analysis":[105],"game,":[108],"especially":[111],"relevant":[112],"consider":[114],"extent":[116],"which":[118,139],"exploited,":[122],"since":[123],"output":[125],"highly":[130],"affected":[131],"by":[132],"issue.":[134],"It":[135],"cases":[140],"can":[143],"be":[144],"overexploited,":[145],"adjusting":[146],"avoid":[153],"scenario":[155],"when":[156],"possible.":[159],"results":[161],"are":[162],"obtained":[163],"from":[164],"an":[165],"analytical":[166],"point":[167],"view":[169],"also":[171],"graphically":[172],"bifurcation":[174],"diagrams":[175],"show":[177],"dynamics.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}