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use efficiency which is not satisfied by the Banzhaf value. On the other hand, the Banzhaf value satisfies collusion … these axioms characterize the equal division solution. Further, we show that there is no solution that satisfies efficiency …, collusion neutrality and the null player property. Finally, we show that a solution satisfies efficiency, collusion neutrality …
Persistent link: https://www.econbiz.de/10011378796
satisfies collusion neutrality, while the Myerson value satisfies component efficiency. Requiring both efficiency and collusion …. Since these solutions also satisfy the superfluous player property, this also `solves' an impossibility for TU-games since … there is no solution for these games that satisfies efficiency, collusion neutrality and the null player property. We give …
Persistent link: https://www.econbiz.de/10011379462
Persistent link: https://www.econbiz.de/10009720511
One of the main issues in economics is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide tools that make it...
Persistent link: https://www.econbiz.de/10011372987
player property for delta = 0. We show that efficiency, symmetry, linearity and this delta-reducing player property …
Persistent link: https://www.econbiz.de/10011380928
Recently, cooperative game theory has been applied to various economic allocation problems in which players are not fully anonymous but belong to some relational structure. One of the most developed models in this respect are communications situations or (symmetric) network situations in which...
Persistent link: https://www.econbiz.de/10011334335
Cooperative games on antimatroids are cooperative games restricted by a combinatorial structure which generalize the permission structure. So, cooperative games on antimatroids group several well-known families of games which have important applications in economics and politics. Therefore, the...
Persistent link: https://www.econbiz.de/10011327837
We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...
Persistent link: https://www.econbiz.de/10010225788
Persistent link: https://www.econbiz.de/10010190987
In this paper we introduce two values for cooperative games with communication graph structure. For cooperative games the shapley value distributes the worth of the grand coalition amongst the players by taking into account the worths that can be obtained by any coalition of players, but does...
Persistent link: https://www.econbiz.de/10011531120