منابع مشابه
On Bargaining Sets of Convex NTU Games
We show that the Aumann-Davis-Maschler bargaining set and the Mas-Colell bargaining set of a non-leveled NTU game that is either ordinal convex or coalition merge convex coincides with the core of the game. Moreover, we show by means of an example that the foregoing statement may not be valid if the NTU game is marginal convex.
متن کاملStrong convexity of NTU games
In this paper, we provide an alternative definition of NTU convexity, strongly ordinal convexity. We show that if a game is strongly ordinal convex, then any marginal worth vector is in the core, and any marginal contribution is increasing. Some economic examples satisfy this convexity. KeywordsCooperative game; Convex game; NTU game; Core; Supermodularity JEL classification codes: C62; D52; D53
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Within the class of superadditive cooperative games with transferable utility, the convexity of a game is characterized by the coincidence of its core and the steady bargaining set. As a consequence it is also proved that convexity can also be characterized by the coincidence of the core of a game and the modified Zhou bargaining set (Shimomura, 1997)
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We study the least core, the kernel and bargaining sets of coalitional games with a countable set of players. We show that the least core of a continuous superadditive game with a countable set of players is a nonempty (norm-compact) subset of the space of all countably additive measures. Then we show that in such games the intersection of the prekernel and the least core is non-empty. Finally,...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2014
ISSN: 1556-5068
DOI: 10.2139/ssrn.2535161