论文信息 - Weighted Banzhaf values

Weighted Banzhaf values

The family of weighted Banzhaf values for cooperativen-person TU-games is studied. First we introduce the weighted Banzhaf value for an exogenously given vector of positive weights of the players. Then we give an axiomatic characterization of the class of all possible weighted Banzhaf values.

Theo S. H. Driessen | Andrzej S. Nowak | Tadeusz Radzik

[1] On an axiomatization of the Banzhaf value without the additivity axiom , 1997 .

[2] L. Shapley. A Value for n-person Games , 1988 .

[3] E. Kalai,et al. On weighted Shapley values , 1983 .

[4] Robert J. Weber,et al. Probabilistic Values for Games , 1977 .

[5] Lloyd S. Shapley,et al. Additive and non-additive set functions , 1953 .

[6] Tadeusz Radzik,et al. On axiomatizations of the weighted Shapley values , 1995 .

[7] Pradeep Dubey,et al. Mathematical Properties of the Banzhaf Power Index , 1979, Math. Oper. Res..

[8] Robert C. Blattberg,et al. Discussant’s Comments , 1979, The Quest for a Science of Accounting.

[9] Alvin E. Roth. A note on values and multilinear extensions , 1977 .