CIAS invites you to the next talk of the\u00a0Corvinus Game Theory Seminar.<\/p>\n\n\n\n
May 5 (12-13) room C.714<\/strong><\/p>\n\n\n\n Zs\u00f3fia Dornai<\/strong> (BME) <\/p>\n\n\n\n TU-games with utility: the u-prenucleolus<\/strong> <\/strong><\/p>\n\n\n\n The talk is based on joint work with Mikl\u00f3s Pint\u00e9r. <\/p>\n","protected":false},"excerpt":{"rendered":" CIAS invites you to the next talk of the\u00a0Corvinus Game Theory Seminar. May 5 (12-13) room C.714 Zs\u00f3fia Dornai (BME) TU-games with utility: the u-prenucleolus The u-prenucleolus is a generalisation of the prenucleolus using utility functions. The u-prenucleolus also can be considered as Continue Reading …<\/a><\/span><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-163","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/163","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=163"}],"version-history":[{"count":1,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/163\/revisions"}],"predecessor-version":[{"id":164,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/163\/revisions\/164"}],"wp:attachment":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=163"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
The u-prenucleolus is a generalisation of the prenucleolus using utility functions. The u-prenucleolus also can be considered as a generalisation of the per-capita prenucleolus. We prove a generalisation of Kohlberg\u2019s theorem to the u-prenucleolus and a generalisation of Katsev and Yanovskaya\u2019s theorem, thereby giving a sufficient and necessary condition on the unicity of the u-prenucleolus. We also define the u-essential coalitions which give a characterisation set for the u-prenucleolus. Special cases of this result give a characterisation set for the per-capita prenucleolus on balanced games and a characterisation set for the prenucleolus on certain non-balanced games. <\/p>\n\n\n\n