{"id":"https://openalex.org/W2167589622","doi":"https://doi.org/10.1142/s0219198903001124","title":"HADAMARD AND TYKHONOV WELL-POSEDNESS IN TWO PLAYER GAMES","display_name":"HADAMARD AND TYKHONOV WELL-POSEDNESS IN TWO PLAYER GAMES","publication_year":2003,"publication_date":"2003-12-01","ids":{"openalex":"https://openalex.org/W2167589622","doi":"https://doi.org/10.1142/s0219198903001124","mag":"2167589622"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198903001124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198903001124","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-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/A5055520380","display_name":"G. Pieri","orcid":null},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"GRAZIANO PIERI","raw_affiliation_strings":["Dipartimento di Scienze per l'Architettura, Universita' di Genova, stradone S. Agostino 37, 16123 Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze per l'Architettura, Universita' di Genova, stradone S. Agostino 37, 16123 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080795532","display_name":"Anna Torre","orcid":"https://orcid.org/0000-0001-7597-3497"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANNA TORRE","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pavia, via Ferrata 1, 27100 Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pavia, via Ferrata 1, 27100 Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.22518065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"05","issue":"04","first_page":"375","last_page":"384"},"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":0.9962999820709229,"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":0.991599977016449,"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/hadamard-transform","display_name":"Hadamard transform","score":0.8020884394645691},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7520657777786255},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6460766792297363},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.616137683391571},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5894664525985718},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5609250068664551},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5499652028083801},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45866289734840393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16785725951194763},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0732329785823822}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8020884394645691},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7520657777786255},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6460766792297363},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.616137683391571},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5894664525985718},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5609250068664551},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5499652028083801},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45866289734840393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16785725951194763},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0732329785823822},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219198903001124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198903001124","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:05:y:2003:i:04:n:s0219198903001124","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198903001124","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W40134051","https://openalex.org/W89838446","https://openalex.org/W1540021077","https://openalex.org/W1561515096","https://openalex.org/W2066551529","https://openalex.org/W2078338432","https://openalex.org/W2091185799","https://openalex.org/W2110667918","https://openalex.org/W2224931890","https://openalex.org/W4206111119"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2769269860","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2388752733","https://openalex.org/W4224299360"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,12,39,87],"suitable":[3],"definition":[4,30],"of":[5,11,18,26,63],"Hadamard":[6,49,71],"well-posedness":[7,50,62,74],"for":[8,35],"Nash":[9,19],"equilibria":[10],"game,":[13],"that":[14],"is,":[15],"the":[16,32,64,76,81,90],"stability":[17],"equilibrium":[20],"point":[21],"with":[22,41,51,60],"respect":[23,52],"to":[24,48,53],"perturbations":[25],"payoff":[27,43,82],"functions.":[28],"Our":[29],"generalizes":[31],"analogous":[33],"notion":[34,59],"minimum":[36],"problems.":[37],"For":[38,86],"game":[40,89],"continuous":[42],"functions,":[44],"we":[45],"restrict":[46],"ourselves":[47],"uniform":[54],"convergence":[55],"and":[56,75],"compare":[57],"this":[58],"Tykhonov":[61,73],"same":[65],"game.":[66],"The":[67],"main":[68],"results":[69],"are:":[70],"implies":[72],"converse":[77],"is":[78],"true":[79],"if":[80],"functions":[83],"are":[84,93],"bounded.":[85],"zero-sum":[88],"two":[91],"notions":[92],"equivalent.":[94]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}