{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T20:56:36Z","timestamp":1648846596686},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2003,12]]},"abstract":"<jats:p> We give a suitable definition of Hadamard well-posedness for Nash equilibria of a game, that is, the stability of Nash equilibrium point with respect to perturbations of payoff functions. Our definition generalizes the analogous notion for minimum problems. For a game with continuous payoff functions, we restrict ourselves to Hadamard well-posedness with respect to uniform convergence and compare this notion with Tykhonov well-posedness of the same game. The main results are: Hadamard implies Tykhonov well-posedness and the converse is true if the payoff functions are bounded. For a zero-sum game the two notions are equivalent. <\/jats:p>","DOI":"10.1142\/s0219198903001124","type":"journal-article","created":{"date-parts":[[2004,1,30]],"date-time":"2004-01-30T04:17:13Z","timestamp":1075436233000},"page":"375-384","source":"Crossref","is-referenced-by-count":1,"title":["HADAMARD AND TYKHONOV WELL-POSEDNESS IN TWO PLAYER GAMES"],"prefix":"10.1142","volume":"05","author":[{"given":"GRAZIANO","family":"PIERI","sequence":"first","affiliation":[{"name":"Dipartimento di Scienze per l'Architettura, Universita' di Genova, stradone S. Agostino 37, 16123 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANNA","family":"TORRE","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e0 di Pavia, via Ferrata 1, 27100 Pavia, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Mathematical Methods of Games and Economic Theory","author":"Aubin J. P.","year":"1979"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-45686-2_5"},{"key":"rf4","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0084195","volume-title":"Well-posed Optimization Problems","author":"Dontchev A.","year":"1993"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1080\/01630568108816100"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1080\/02331939708844321"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021738420722"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013658023971"},{"key":"rf9","volume-title":"Game Theory: Analysis of Conflict","author":"Myerson R. B.","year":"1991"},{"key":"rf10","first-page":"95","volume":"1","author":"Patrone F.","journal-title":"Rivista di Matematica Pura e Applicata"},{"key":"rf11","first-page":"109","volume":"84","author":"Patrone F.","journal-title":"Rendiconti del Seminario Matematico dell'Universita di Padova"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8472-2_9"},{"key":"rf13","first-page":"117","volume":"28","author":"Revalski J. P.","journal-title":"Acta Univ. Carolinae Math. Et Phys."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.2307\/2525963"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(66)90003-6"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198903001124","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T09:23:27Z","timestamp":1565169807000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198903001124"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":14,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,12]]}},"alternative-id":["10.1142\/S0219198903001124"],"URL":"https:\/\/doi.org\/10.1142\/s0219198903001124","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}