Marginality, differential marginality, and the Banzhaf value

Casajus A (2011)
Theory and Decision 71(3): 365-372.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We revisit the Nowak (Int J Game Theory 26:137-141, 1997) characterization of the Banzhaf value via 2-efficiency, the Dummy player axiom, symmetry, and marginality. In particular, we provide a brief proof that also works within the classes of superadditive games and of simple games. Within the intersection of these classes, one even can drop marginality. Further, we show that marginality and symmetry can be replaced by van den Brink fairness/differential marginality. For this axiomatization, 2-efficiency can be relaxed into superadditivity on the full domain of games.
Stichworte
Differential marginality; Marginality; Banzhaf value; Additivity
Erscheinungsjahr
2011
Zeitschriftentitel
Theory and Decision
Band
71
Ausgabe
3
Seite(n)
365-372
ISSN
0040-5833
eISSN
1573-7187
Page URI
https://pub.uni-bielefeld.de/record/2394467

Zitieren

Casajus A. Marginality, differential marginality, and the Banzhaf value. Theory and Decision. 2011;71(3):365-372.
Casajus, A. (2011). Marginality, differential marginality, and the Banzhaf value. Theory and Decision, 71(3), 365-372. https://doi.org/10.1007/s11238-010-9224-5
Casajus, A. (2011). Marginality, differential marginality, and the Banzhaf value. Theory and Decision 71, 365-372.
Casajus, A., 2011. Marginality, differential marginality, and the Banzhaf value. Theory and Decision, 71(3), p 365-372.
A. Casajus, “Marginality, differential marginality, and the Banzhaf value”, Theory and Decision, vol. 71, 2011, pp. 365-372.
Casajus, A.: Marginality, differential marginality, and the Banzhaf value. Theory and Decision. 71, 365-372 (2011).
Casajus, André. “Marginality, differential marginality, and the Banzhaf value”. Theory and Decision 71.3 (2011): 365-372.

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