{"id":"https://openalex.org/W2092030382","doi":"https://doi.org/10.3390/g1040478","title":"A Modal Logic of Epistemic Games","display_name":"A Modal Logic of Epistemic Games","publication_year":2010,"publication_date":"2010-11-02","ids":{"openalex":"https://openalex.org/W2092030382","doi":"https://doi.org/10.3390/g1040478","mag":"2092030382"},"language":"en","primary_location":{"id":"doi:10.3390/g1040478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g1040478","pdf_url":"https://www.mdpi.com/2073-4336/1/4/478/pdf?version=1288689002","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/2073-4336/1/4/478/pdf?version=1288689002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037462924","display_name":"Emiliano Lorini","orcid":"https://orcid.org/0000-0002-7014-6756"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emiliano Lorini","raw_affiliation_strings":["IRIT-CNRS, Universit\u00e9 de Toulouse, 118 route de Narbonne, 31062 Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-CNRS, Universit\u00e9 de Toulouse, 118 route de Narbonne, 31062 Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210160189","https://openalex.org/I4210152422","https://openalex.org/I1294671590","https://openalex.org/I4210119061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064915259","display_name":"Fran\u00e7ois Schwarzentruber","orcid":"https://orcid.org/0000-0002-1228-4333"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Schwarzentruber","raw_affiliation_strings":["IRIT-CNRS, Universit\u00e9 de Toulouse, 118 route de Narbonne, 31062 Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-CNRS, Universit\u00e9 de Toulouse, 118 route de Narbonne, 31062 Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210160189","https://openalex.org/I4210152422","https://openalex.org/I1294671590","https://openalex.org/I4210119061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.8646,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.87910517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":"4","first_page":"478","last_page":"526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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/T11031","display_name":"Game Theory and Applications","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7088315486907959},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5988413095474243},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5748106241226196},{"id":"https://openalex.org/keywords/epistemic-modal-logic","display_name":"Epistemic modal logic","score":0.5610198974609375},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5153064727783203},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5020918846130371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4867591857910156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4713893532752991},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4708012342453003},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.459771990776062},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4434274435043335},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.4399675130844116},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4206700325012207},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35654228925704956},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3462507128715515},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.18095725774765015}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7088315486907959},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5988413095474243},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5748106241226196},{"id":"https://openalex.org/C107247716","wikidata":"https://www.wikidata.org/wiki/Q1347436","display_name":"Epistemic modal logic","level":4,"score":0.5610198974609375},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5153064727783203},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5020918846130371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4867591857910156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4713893532752991},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4708012342453003},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.459771990776062},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4434274435043335},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.4399675130844116},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4206700325012207},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35654228925704956},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3462507128715515},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.18095725774765015},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/g1040478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g1040478","pdf_url":"https://www.mdpi.com/2073-4336/1/4/478/pdf?version=1288689002","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:HAL:hal-03672510v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03672510","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://www.mdpi.com/2073-4336/1/4/478","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:gam:jgames:v:1:y:2010:i:4:p:478-526:d:10053","is_oa":false,"landing_page_url":"https://www.mdpi.com/2073-4336/1/4/478/","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:c1f91885638a48798dc27b558fb25bf0","is_oa":false,"landing_page_url":"https://doaj.org/article/c1f91885638a48798dc27b558fb25bf0","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Games, Vol 1, Iss 4, Pp 478-526 (2010)","raw_type":"article"},{"id":"pmh:oai:econstor.eu:10419/98564","is_oa":true,"landing_page_url":"http://hdl.handle.net/10419/98564","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:http://dlc.dlib.indiana.edu:10535/6733","is_oa":false,"landing_page_url":"http://hdl.handle.net/10535/6733","pdf_url":null,"source":{"id":"https://openalex.org/S4306402437","display_name":"Digital Library Of The Commons Repository (Indiana University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I592451","host_organization_name":"Indiana University","host_organization_lineage":["https://openalex.org/I592451"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.3390/g1040478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g1040478","pdf_url":"https://www.mdpi.com/2073-4336/1/4/478/pdf?version=1288689002","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":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2092030382.pdf","grobid_xml":"https://content.openalex.org/works/W2092030382.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1500679563","https://openalex.org/W1500928105","https://openalex.org/W1508186789","https://openalex.org/W1525770870","https://openalex.org/W1526328753","https://openalex.org/W1527278424","https://openalex.org/W1527720545","https://openalex.org/W1533142698","https://openalex.org/W1554721881","https://openalex.org/W1567930781","https://openalex.org/W1596067335","https://openalex.org/W1847765408","https://openalex.org/W1854372289","https://openalex.org/W1967463168","https://openalex.org/W1971214612","https://openalex.org/W1974242716","https://openalex.org/W1982129592","https://openalex.org/W1984207742","https://openalex.org/W1988804687","https://openalex.org/W1991225651","https://openalex.org/W1991755574","https://openalex.org/W1997716585","https://openalex.org/W2003023619","https://openalex.org/W2020759974","https://openalex.org/W2026284755","https://openalex.org/W2045282924","https://openalex.org/W2048654653","https://openalex.org/W2054071520","https://openalex.org/W2062285040","https://openalex.org/W2070645636","https://openalex.org/W2076073997","https://openalex.org/W2082661869","https://openalex.org/W2100511631","https://openalex.org/W2100907015","https://openalex.org/W2105373009","https://openalex.org/W2109058602","https://openalex.org/W2109100253","https://openalex.org/W2112789767","https://openalex.org/W2120652589","https://openalex.org/W2122336644","https://openalex.org/W2139774323","https://openalex.org/W2143284884","https://openalex.org/W2159131252","https://openalex.org/W2187952465","https://openalex.org/W2610670723","https://openalex.org/W3123027183","https://openalex.org/W4205678468","https://openalex.org/W4211144022","https://openalex.org/W4235131552","https://openalex.org/W4240095344","https://openalex.org/W4242309855","https://openalex.org/W4244515980","https://openalex.org/W4250744658","https://openalex.org/W4285719527","https://openalex.org/W4292068704","https://openalex.org/W4388218763","https://openalex.org/W6630074841"],"related_works":["https://openalex.org/W2097542839","https://openalex.org/W2101793126","https://openalex.org/W2123071520","https://openalex.org/W2469849678","https://openalex.org/W3216606561","https://openalex.org/W1603024508","https://openalex.org/W2963445947","https://openalex.org/W3184418169","https://openalex.org/W4297962383","https://openalex.org/W2614444040"],"abstract_inverted_index":{"We":[0,34,87,117],"propose":[1],"some":[2,40,51,205],"variants":[3],"of":[4,7,25,39,46,55,65,75,82,105,114,125,166,174,183,197],"a":[5,73,98,136,162,172,184],"multi-modal":[6],"joint":[8],"action,":[9],"preference":[10,149],"and":[11,62,154,194],"knowledge":[12,140],"that":[13,49,89,135,156,177],"support":[14],"reasoning":[15],"about":[16,128,141,147,180,191],"epistemic":[17,53],"games":[18,30,110],"in":[19,43,97],"strategic":[20],"form.":[21],"The":[22,102],"first":[23,35,118],"part":[24,104],"the":[26,44,76,94,106,129,133,142,148,181,198,209],"paper":[27,107],"deals":[28,108],"with":[29,31,79,109,111],"complete":[32,115,195],"information.":[33,116],"provide":[36,171],"syntactic":[37],"proofs":[38],"well-known":[41],"theorems":[42],"area":[45],"interactive":[47],"epistemology":[48],"specify":[50],"sufficient":[52],"conditions":[54],"equilibrium":[56,61],"notions":[57],"such":[58],"as":[59,202,204],"Nash":[60],"Iterated":[63],"Deletion":[64],"Strictly":[66],"Dominated":[67],"Strategies":[68],"(IDSDS).":[69],"Then,":[70],"we":[71,170],"present":[72],"variant":[74],"logic":[77],"extended":[78],"dynamic":[80],"operators":[81],"Dynamic":[83],"Epistemic":[84],"Logic":[85],"(DEL).":[86],"show":[88,155],"it":[90],"allows":[91],"to":[92,189],"express":[93],"notion":[95],"IDSDS":[96],"more":[99],"compact":[100],"way.":[101],"second":[103],"weaker":[112],"forms":[113],"discuss":[119],"several":[120],"assumptions":[121],"on":[122],"different":[123],"aspects":[124],"perfect":[126,139],"information":[127],"game":[130,185],"structure":[131,182],"(e.g.,":[132],"assumption":[134,158],"player":[137],"has":[138],"players\u2019":[143],"strategy":[144,152],"sets":[145],"or":[146],"orderings":[150],"over":[151],"profiles),":[153],"every":[157],"is":[159],"expressed":[160],"by":[161],"corresponding":[163],"logical":[164],"axiom":[165],"our":[167],"logic.":[168],"Then":[169],"proof":[173],"Harsanyi\u2019s":[175],"claim":[176],"all":[178],"uncertainty":[179,190],"can":[186],"be":[187],"reduced":[188],"payoffs.":[192],"Sound":[193],"axiomatizations":[196],"logics":[199],"are":[200],"given,":[201],"well":[203],"complexity":[206],"results":[207],"for":[208],"satisfiability":[210],"problem.":[211]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}