Showing 1 - 10 of 63
We reconsider the Myerson value and the position value for communication situations. In case the underlying game is a unanimity game, we show that each of these values can be computed using the inclusion--exclusion principle. Linearity of both values permits us to calculate them without needing...
Persistent link: https://www.econbiz.de/10005710957
Persistent link: https://www.econbiz.de/10005364680
This discussion paper resulted in a publication in the 'European Journal of Operational Research', 2014, 238, 786-796.<P> Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any...</p>
Persistent link: https://www.econbiz.de/10011257247
Generalized characteristic functions extend characteristic functions of ‘classical’ TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of...
Persistent link: https://www.econbiz.de/10011052805
This paper contains a survey of cooperative game theory applied to a sports environment. The variety of these applications serves us as a proof of the strength of cooperative game theory introducing successful strategies in sports and explaining the behavior of different actors.
Persistent link: https://www.econbiz.de/10011011319
In this article, we generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic com- munication situations (G ́ Gomez et al. (2008)). We provide two characterizations of this new allocation rule....
Persistent link: https://www.econbiz.de/10011026229
In this paper we introduce an extension of the model of restricted communication in cooperative games as introduced in Myerson (1977) by allowing communication links to be directed and the worth of a coalition to depend on the order in which the players enter the coalition. Therefore, we model...
Persistent link: https://www.econbiz.de/10005137139
In this article, we generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations (G´omez et al. (2008)). We provide two characterizations of this new allocation rule....
Persistent link: https://www.econbiz.de/10008584598
In this paper we introduce an extension of the model of restricted communication in cooperative games as introduced in Myerson (1977) by allowing communication links to be directed and the worth of a coalition to depend on the order in which the players enter the coalition. Therefore, we model...
Persistent link: https://www.econbiz.de/10011255646
This discussion paper resulted in a publication in 'Mathematical Methods of Operations Research', 2013, 77, 1-14.<P> In this paper we provide new axiomatizations of the Shapley value for TU-games using axioms that are based on relational aspects in the interactions among players. Some of these...</p>
Persistent link: https://www.econbiz.de/10011255991