Collusion, quarrel, and the Banzhaf value. (English) Zbl 1336.91013
In this paper some characterizations of the Banzhaf value are modified. First, the author shows that three axioms related to collusion proposed by H. Haller [Int. J. Game Theory 23, No. 3, 261–281 (1994; Zbl 0864.90138)] and M. Malawski [Int. J. Game Theory 23, No. 3, 261–281 (1994; Zbl 0864.90138)] are equivalent. Secondly, it is proved that each of these axioms together with the dummy player axiom characterize the Banzhaf value provided that the number of players is not two. Moreover, this main result implies a further characterization of the Banzhaf value in which any of the aforementioned collusion axioms is replaced by additivity and an axiom called annihilation by quarrel.
Reviewer: Peter Sudhölter (Odense)
MSC:
| 91A12 | Cooperative games |
Citations:
Zbl 0864.90138References:
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