{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T18:30:59Z","timestamp":1648924259297},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Info. Tech. Dec. Mak."],"published-print":{"date-parts":[[2009,6]]},"abstract":"<jats:p> This article is about the full analysis of one concrete class of general non-cooperative lexicographic games and its computer programming. In such game, the payoffs of players are lexicographic vector payoffs \u2014 m scalar criteria vectors. At the same time, these criteria are strictly ranked on the set of the situations with lexicographic preference. In some such kind of game a Nash's equilibrium may not exist. In the given article the full analysis of one class of dyadic lexicographic games is worked out. Such kind of class is the non-cooperative lexicographic games, where each player has got two pure strategies and the payoff of each player solely depends on the strategies of two players in each situation. Therefore, the player's payoffs are given by 2 \u00d7 2 matrices, the elements of which are lexicographic utilities. <\/jats:p>","DOI":"10.1142\/s0219622009003430","type":"journal-article","created":{"date-parts":[[2009,7,2]],"date-time":"2009-07-02T07:53:30Z","timestamp":1246521210000},"page":"193-216","source":"Crossref","is-referenced-by-count":1,"title":["DYADIC THEORETICAL GAMES MODELS OF DECISION-MAKING FOR THE LEXICOGRAPHIC VECTOR PAYOFFS"],"prefix":"10.1142","volume":"08","author":[{"given":"MINDIA E.","family":"SALUKVADZE","sequence":"first","affiliation":[{"name":"Archil Eliashvili Institute of Control Systems, 34, K. Gamsakhurdia St., Tbilisi 380060, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GURAM","family":"BELTADZE","sequence":"additional","affiliation":[{"name":"Department of Control Systems, Georgian Technical University, 77, M. Kostava St., Tbilisi 0175, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"FRANCISCO","family":"CRIADO","sequence":"additional","affiliation":[{"name":"Department of Statistics and Operational Research Malaga University, Campus de Teatinos, Malaga 29071, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"41","volume":"98","author":"Beltadze G. N.","journal-title":"Bulleten of the Academy of Sciences of the Georgian SSR"},{"key":"rf2","first-page":"273","volume":"98","author":"Beltadze G. N.","journal-title":"Bulleten of the Academy of Sciences of the Georgian SSR"},{"key":"rf3","first-page":"309","volume":"99","author":"Beltadze G. N.","journal-title":"Bulleten of the Academy of Sciences of the Georgian SSR"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622006002131"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622005001374"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622006001964"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622007002332"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01753434"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01763120"},{"key":"rf12","unstructured":"M.\u00a0Hausner, Decision Processes, eds. R. M.\u00a0Thrall and C. H.\u00a0Coombs (John Wiley and Sons Inc., New York, 1954)\u00a0pp. 167\u2013180."},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622004001033"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0899-8256(03)00049-6"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8514-0"}],"container-title":["International Journal of Information Technology &amp; Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219622009003430","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:22:07Z","timestamp":1565173327000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219622009003430"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6]]},"references-count":13,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,6]]}},"alternative-id":["10.1142\/S0219622009003430"],"URL":"https:\/\/doi.org\/10.1142\/s0219622009003430","relation":{},"ISSN":["0219-6220","1793-6845"],"issn-type":[{"value":"0219-6220","type":"print"},{"value":"1793-6845","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,6]]}}}