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We provide a new proof of the non-emptiness of approximate cores of games with many players of a finite number of types. Earlier papers in the literature proceed by showing that, for games with many players, equal-treatment cores of their "balanced cover games", which are non-empty, can be...
Persistent link: https://www.econbiz.de/10010472889
This chapter surveys a class of solution concepts for n -person games without transferable utility — NTU games for short — that are based on varying notions of “fair division”. An NTU game is a specification of payoffs attainable by members of each coalition through some joint course of...
Persistent link: https://www.econbiz.de/10014024490
In this paper, we introduce a solution concept generalizing the Harsanyi non-transferable utility (NTU) value to cooperative games with incomplete information. The so-defined S-solution is characterized by virtual utility scales that extend the Harsanyi-Shapley fictitious weighted utility...
Persistent link: https://www.econbiz.de/10012907407
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The Hart-and-Mas-Colell bargaining model [Hart and Mas-Colell (2010). “Bargaining and Cooperation in Strategic Form Games.” Journal of the European Economics Association, 8, 7-33], which is based on strategic form games, is a very promising model possessing many beautiful features....
Persistent link: https://www.econbiz.de/10013066306
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-essential games, are shown to have a nonempty core. We give a recursive description of the core. Moreover, it is shown that the core …
Persistent link: https://www.econbiz.de/10013314021
The core cover of a TU-game is a superset of the core and equals the convex hull of its larginal vectors. A larginal … called compromise stable if the core is equal to the core cover, i.e. the core is the convex hull of the larginal vectors. In … larginal vector of the set is a core element, then the game is compromise stable. The first characterization of these sets is …
Persistent link: https://www.econbiz.de/10014181798
This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus and compromise value. It is seen that the 1-nucleolus of a cooperative game can be characterized using a combination of standard bankruptcy rules for associated bankruptcy problems. In particular, for any...
Persistent link: https://www.econbiz.de/10011376297
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10011376532