{"id":"https://openalex.org/W2963065719","doi":"https://doi.org/10.1109/allerton.2017.8262809","title":"On the geometry of nash and correlated equilibria with cumulative prospect theoretic preferences","display_name":"On the geometry of nash and correlated equilibria with cumulative prospect theoretic preferences","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2963065719","doi":"https://doi.org/10.1109/allerton.2017.8262809","mag":"2963065719"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262809","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-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":"https://openalex.org/A5049538804","display_name":"Soham R. Phade","orcid":"https://orcid.org/0000-0001-9263-1587"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Soham R. Phade","raw_affiliation_strings":["Department of Elelctrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Department of Elelctrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013689450","display_name":"Venkat Anantharam","orcid":"https://orcid.org/0000-0002-6214-7927"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkat Anantharam","raw_affiliation_strings":["Department of Elelctrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Department of Elelctrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049538804"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33545527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"724","last_page":"731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9993000030517578,"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/T12137","display_name":"Economic theories and models","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.885737419128418},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8429960012435913},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6409780979156494},{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.6381632089614868},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.6319414973258972},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6106863617897034},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5926811099052429},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.5905698537826538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5861992239952087},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5114401578903198},{"id":"https://openalex.org/keywords/convex-geometry","display_name":"Convex geometry","score":0.4666678011417389},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.4664933681488037},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4609193801879883},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4589598476886749},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.4190172553062439},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.3708241879940033},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.3369966447353363},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.33356449007987976},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.24901309609413147},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17471963167190552},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1733742654323578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07854372262954712}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.885737419128418},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8429960012435913},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6409780979156494},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.6381632089614868},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.6319414973258972},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6106863617897034},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5926811099052429},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.5905698537826538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5861992239952087},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5114401578903198},{"id":"https://openalex.org/C110202963","wikidata":"https://www.wikidata.org/wiki/Q1783542","display_name":"Convex geometry","level":5,"score":0.4666678011417389},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.4664933681488037},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4609193801879883},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4589598476886749},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.4190172553062439},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.3708241879940033},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.3369966447353363},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.33356449007987976},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.24901309609413147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17471963167190552},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1733742654323578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07854372262954712}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262809","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W350604544","https://openalex.org/W1980418351","https://openalex.org/W2002935946","https://openalex.org/W2005713345","https://openalex.org/W2032932628","https://openalex.org/W2041946752","https://openalex.org/W2073242866","https://openalex.org/W2099161251","https://openalex.org/W2112794046","https://openalex.org/W2118929276","https://openalex.org/W2126776273","https://openalex.org/W2132580642","https://openalex.org/W2133469585","https://openalex.org/W2144846366","https://openalex.org/W2166201998","https://openalex.org/W2330024298","https://openalex.org/W2333311386","https://openalex.org/W2518516864","https://openalex.org/W2569616450","https://openalex.org/W3011865677","https://openalex.org/W3122760232","https://openalex.org/W4234761190","https://openalex.org/W4243522648","https://openalex.org/W6679903357"],"related_works":["https://openalex.org/W4301347782","https://openalex.org/W1667857601","https://openalex.org/W1554758635","https://openalex.org/W1976009178","https://openalex.org/W2013767790","https://openalex.org/W3125178864","https://openalex.org/W3022607018","https://openalex.org/W2292587149","https://openalex.org/W2122414948","https://openalex.org/W2963065719"],"abstract_inverted_index":{"It":[0],"is":[1,15],"known":[2],"that":[3,77],"the":[4,22,26,32,39,47,63,86,99],"set":[5,56],"of":[6,10,34,41,57,101],"all":[7,21,29,62,85,110],"correlated":[8,59,103],"equilibria":[9,28,60,66,89,104,108],"an":[11],"n-player":[12],"cooperative":[13],"game":[14],"a":[16,72],"convex":[17,73],"polytope":[18],"and":[19,105],"includes":[20,61],"Nash":[23,27,65,88,107],"equilibria.":[24],"Further,":[25],"lie":[30,92],"on":[31,93],"boundary":[33],"this":[35],"polytope.":[36,74],"We":[37,75,96],"study":[38],"geometry":[40],"both":[42],"these":[43],"equilibrium":[44],"notions":[45],"when":[46],"players":[48],"have":[49],"cumulative":[50],"prospect":[51],"theoretic":[52],"(CPT)":[53],"preferences.":[54],"The":[55],"CPT":[58,64,87,102,106],"but":[67],"it":[68,78],"need":[69],"not":[70],"be":[71,82],"show":[76],"can,":[79],"in":[80],"fact,":[81],"disconnected.":[83],"However,":[84],"continue":[90],"to":[91],"its":[94],"boundary.":[95],"also":[97],"characterize":[98],"sets":[100],"for":[109],"2":[111,113],"\u00d7":[112],"games.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
