منابع مشابه
Convex 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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Let I1 and I2 be intervals of real numbers. An interval game is played in this way: player 1 secretly selects x ∈ I1 and player 2 secretly and independently selects y ∈ I2. After x and y are revealed, payoffs are given by some predetermined function with domain I1 × I2. The payoff function for a zero sum interval game is a function A : I1 × I2 → R. This is interpreted to mean that the second pl...
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We follow the path initiated in Shapley (1971) and study the geometry of the core of convex and strictly convex games. We define what we call face games and use them to study the combinatorial complexity of the core of a strictly convex game. Remarkably, we present a picture that summarizes our results with the aid of Pascal’s triangle. JEL classification: C71.
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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...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Decision Sciences
سال: 2009
ISSN: 1173-9126,1532-7612
DOI: 10.1155/2009/342089