Convex Games versus Clan Games
نویسندگان
چکیده
منابع مشابه
Convex Games versus clan Games
In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a dualize and restrictprocedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each monotonic convex game generates a total clan game with zero worth for the clan by a dualize and extend pr...
متن کاملMonotonic allocation schemes in clan games
Total clan games are characterized using monotonicity, veto power of the clan members, and a concavity condition re°ecting the decreasing marginal contribution of non-clan members to growing coalitions. This decreasing marginal contribution is incorporated in the notion of a bi-monotonic allocation scheme, where the value of each coalition is divided over its members in such a way that the clan...
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We introduce a new class of cooperative games by using the notion of local supermodularity. Therefore locally convex games can be considered as relaxations of convex games. Cooperative games with the unit marginal worth property are defined and characterizations of locally concave (convex) games with this property are proved. Moreover, we obtain a characterization of a subclass of locally conca...
متن کاملConvex Interval Games
1 Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey 2 Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey 3 Faculty of Computer Science, Alexandru Ioan Cuza University, 700483 Iaşi, Romania 4 CentER and Department of Econometrics and OR, Tilburg University, P.O. Box 90153, 5000LE Tilburg, The Netherla...
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We introduce a new class of cooperative games by using the notion of local supermodularity. Therefore locally convex games can be considered as relaxations of convex games. Moreover, we obtain a characterization of a subclass of locally concave games in terms of the rank function of a matroid.
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2006
ISSN: 1556-5068
DOI: 10.2139/ssrn.919811