{"id":"https://openalex.org/W2661542186","doi":"https://doi.org/10.3390/g8030025","title":"Multi-Leader Multi-Follower Model with Aggregative Uncertainty","display_name":"Multi-Leader Multi-Follower Model with Aggregative Uncertainty","publication_year":2017,"publication_date":"2017-06-22","ids":{"openalex":"https://openalex.org/W2661542186","doi":"https://doi.org/10.3390/g8030025","mag":"2661542186"},"language":"en","primary_location":{"id":"doi:10.3390/g8030025","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8030025","pdf_url":"https://www.mdpi.com/2073-4336/8/3/25/pdf?version=1498135938","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-4336/8/3/25/pdf?version=1498135938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102929296","display_name":"Lina Mallozzi","orcid":"https://orcid.org/0000-0001-7326-8735"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Lina Mallozzi","raw_affiliation_strings":["Department of Mathematics and Applications, University of Naples Federico II, Via Claudio 21, 80125 Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7326-8735","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications, University of Naples Federico II, Via Claudio 21, 80125 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059897813","display_name":"Roberta Messalli","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberta Messalli","raw_affiliation_strings":["Department of Economic and Statistic Science, University of Naples Federico II, Complesso Monte Sant\u2019Angelo 21, 80125 Naples, Italy","Department of Economic and Statistic Science, University of Naples Federico II, Complesso Monte Sant'Angelo 21, 80125 Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economic and Statistic Science, University of Naples Federico II, Complesso Monte Sant\u2019Angelo 21, 80125 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Economic and Statistic Science, University of Naples Federico II, Complesso Monte Sant'Angelo 21, 80125 Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102929296"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9942,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79587512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"3","first_page":"25","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9940000176429749,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9940000176429749,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9933000206947327,"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":0.9926999807357788,"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/news-aggregator","display_name":"News aggregator","score":0.8503363728523254},{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.8130255341529846},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7133992314338684},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.539680540561676},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4759630560874939},{"id":"https://openalex.org/keywords/bayesian-game","display_name":"Bayesian game","score":0.46651971340179443},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4539754390716553},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.44618552923202515},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.44596660137176514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4338172674179077},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4258274435997009},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.38702744245529175},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.30092108249664307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.279346764087677}],"concepts":[{"id":"https://openalex.org/C180505990","wikidata":"https://www.wikidata.org/wiki/Q498267","display_name":"News aggregator","level":2,"score":0.8503363728523254},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.8130255341529846},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7133992314338684},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.539680540561676},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4759630560874939},{"id":"https://openalex.org/C200594392","wikidata":"https://www.wikidata.org/wiki/Q812529","display_name":"Bayesian game","level":4,"score":0.46651971340179443},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4539754390716553},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.44618552923202515},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.44596660137176514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4338172674179077},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4258274435997009},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.38702744245529175},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.30092108249664307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.279346764087677},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/g8030025","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8030025","pdf_url":"https://www.mdpi.com/2073-4336/8/3/25/pdf?version=1498135938","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jgames:v:8:y:2017:i:3:p:25-:d:102325","is_oa":false,"landing_page_url":"https://www.mdpi.com/2073-4336/8/3/25/","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"},{"id":"pmh:oai:doaj.org/article:98a58d1afacd4f3d83897da7a1535dce","is_oa":true,"landing_page_url":"https://doaj.org/article/98a58d1afacd4f3d83897da7a1535dce","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Games, Vol 8, Iss 3, p 25 (2017)","raw_type":"article"},{"id":"pmh:oai:econstor.eu:10419/179135","is_oa":true,"landing_page_url":"http://hdl.handle.net/10419/179135","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:mdpi.com:/2073-4336/8/3/25/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/g8030025","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Games; Volume 8; Issue 3; Pages: 25","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/g8030025","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8030025","pdf_url":"https://www.mdpi.com/2073-4336/8/3/25/pdf?version=1498135938","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2661542186.pdf","grobid_xml":"https://content.openalex.org/works/W2661542186.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W154816048","https://openalex.org/W217831350","https://openalex.org/W389907844","https://openalex.org/W1550136613","https://openalex.org/W1565462205","https://openalex.org/W1687997734","https://openalex.org/W1977562524","https://openalex.org/W1983916623","https://openalex.org/W2000822214","https://openalex.org/W2002544122","https://openalex.org/W2002768406","https://openalex.org/W2005685319","https://openalex.org/W2007926026","https://openalex.org/W2025377957","https://openalex.org/W2026401862","https://openalex.org/W2057652230","https://openalex.org/W2061938181","https://openalex.org/W2110024506","https://openalex.org/W2116193608","https://openalex.org/W2117179049","https://openalex.org/W2130752181","https://openalex.org/W2132275236","https://openalex.org/W2137159685","https://openalex.org/W2139556055","https://openalex.org/W2148199148","https://openalex.org/W2159230854","https://openalex.org/W2161413792","https://openalex.org/W2166063259","https://openalex.org/W2266198432","https://openalex.org/W2345998142","https://openalex.org/W2493227902","https://openalex.org/W2591158312","https://openalex.org/W3100460810","https://openalex.org/W3124220067","https://openalex.org/W3124789100","https://openalex.org/W4231147659","https://openalex.org/W6637478418","https://openalex.org/W6664869631","https://openalex.org/W6995532887"],"related_works":["https://openalex.org/W1522951333","https://openalex.org/W2355502700","https://openalex.org/W3145467316","https://openalex.org/W2528797658","https://openalex.org/W1984394557","https://openalex.org/W2928289619","https://openalex.org/W2328458106","https://openalex.org/W3086268593","https://openalex.org/W1573523779","https://openalex.org/W3106393350"],"abstract_inverted_index":{"We":[0,24,54],"study":[1],"a":[2,27,35,50],"non-cooperative":[3],"game":[4],"with":[5],"aggregative":[6],"structure,":[7],"namely":[8],"when":[9],"the":[10,14,17,42,60,68],"payoffs":[11],"depend":[12],"on":[13],"strategies":[15],"of":[16,29],"opponent":[18],"players":[19,30],"through":[20],"an":[21,56],"aggregator":[22,61],"function.":[23],"assume":[25,55],"that":[26],"subset":[28],"behave":[31],"as":[32,40],"leaders":[33],"in":[34],"Stackelberg":[36],"model.":[37],"The":[38],"leaders,":[39],"well":[41],"followers,":[43],"act":[44],"non-cooperatively":[45],"between":[46],"themselves":[47],"and":[48,62],"solve":[49],"Nash":[51],"equilibrium":[52],"problem.":[53],"exogenous":[57],"uncertainty":[58],"affecting":[59],"we":[63],"obtain":[64],"existence":[65],"results":[66],"for":[67],"stochastic":[69],"resulting":[70],"game.":[71],"Some":[72],"examples":[73],"are":[74],"illustrated.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-06-30T00:00:00"}