{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:17:09Z","timestamp":1773656229545,"version":"3.50.1"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2004,3]]},"abstract":"<jats:p> In this paper we consider the problem of time-consistency of the subcore in a multistage TU-cooperative game. We propose necessary and sufficient conditions for the time-consistency of an imputation from the subcore. Based on these conditions, we suggest an algorithm providing time-consistency of a selector of the subcore. Besides, we prove consistency of the subcore with respect to the MDM-reduction. Finally we introduce the notions of reduced game and dynamic consistency for multistage cooperative games. One of the main results of this paper is a theorem stating some properties of dynamic consistency of the subcore selectors. We focus particularly on the conditions of the dynamic consistency of the subcore with respect to the MDM-reduced game. <\/jats:p>","DOI":"10.1142\/s0219198904000125","type":"journal-article","created":{"date-parts":[[2004,5,3]],"date-time":"2004-05-03T09:19:26Z","timestamp":1083575966000},"page":"157-170","source":"Crossref","is-referenced-by-count":6,"title":["MULTISTAGE COOPERATIVE GAMES AND PROBLEM OF TIME CONSISTENCY"],"prefix":"10.1142","volume":"06","author":[{"given":"VICTOR","family":"ZAKHAROV","sequence":"first","affiliation":[{"name":"Faculty of Applied Mathematics and  Control Processes, St. Petersburg State University, Bibliotechnaya pl. 2.,  St. Petersburg, 198504, Russia"}]},{"given":"MARIA","family":"DEMENTIEVA","sequence":"additional","affiliation":[{"name":"Faculty of Applied Mathematics and  Control Processes, St. Petersburg State University, Bibliotechnaya pl. 2.,  St. Petersburg, 198504, Russia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Dynamic Programming","author":"Bellman R.","year":"1960"},{"key":"rf2","unstructured":"O.\u00a0Bondareva, Problems of Cybernetics (Russian, 1963)\u00a0pp. 119\u2013140."},{"key":"rf3","volume-title":"About construction strong time consistent solutions of cooperative differential games","volume":"1","author":"Chistiakov S.","year":"1992"},{"key":"rf4","volume-title":"Multistage, hierarchical, differential and cooperative games: Sborn","author":"Danilov N. 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