International Journal of Game Theory

, Volume 41, Issue 3, pp 497–515 | Cite as

Amalgamating players, symmetry, and the Banzhaf value

  • André CasajusEmail author


We suggest new characterizations of the Banzhaf value without the symmetry axiom, which reveal that the characterizations by Lehrer (Int J Game Theory 17:89–99, 1988) and Nowak (Int J Game Theory 26:137–141, 1997) as well as most of the characterizations by Casajus (Theory Decis 71:365–372, 2011b) are redundant. Further, we explore symmetry implications of Lehrer’s 2-efficiency axiom.


Banzhaf value Amalgamation Symmetry 2-Efficiency 

JEL Classification



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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.LSI Leipziger Spieltheoretisches InstitutLeipzigGermany
  2. 2.IMW Institute of Mathematical EconomicsBielefeld UniversityBielefeldGermany
  3. 3.HHL Leipzig Graduate School of ManagementLeipzigGermany
  4. 4.Wirtschaftswissenschaftliche FakultätUniversität LeipzigLeipzigGermany

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