Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/86953 
Autor:innen: 
Erscheinungsjahr: 
2009
Schriftenreihe/Nr.: 
Tinbergen Institute Discussion Paper No. 09-065/1
Verlag: 
Tinbergen Institute, Amsterdam and Rotterdam
Zusammenfassung: 
Three well-known solutions for cooperative TU-games are the Shapley value, the Banzhaf value and the equal division solution. In the literature various axiomatizations of these solutions can be found. Axiomatizations of the Shapley value often use efficiency which is not satisfied by the Banzhaf value. On the other hand, the Banzhaf value satisfies collusion neutrality which is not satisfied by the Shapley value. Both properties seem desirable. However, neither the Shapley value nor the Banzhaf value satisfy both. The equal division solution does satisfy both axioms and, moreover, together with symmetry 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 and linearity if and only if there exist exogenous weights for the players such that in any game the worth of the 'grand coalition' is distributed proportional to these weights.
Schlagwörter: 
Efficiency
Collusion neutrality
Shapley value
Banzhaf value
Equal division solution
Impossibility
JEL: 
C71
Dokumentart: 
Working Paper
Erscheint in der Sammlung:

Datei(en):
Datei
Größe
242.02 kB





Publikationen in EconStor sind urheberrechtlich geschützt.