Document Type


Source Publication Title

Technical Report 330


A new axiomatic characterization of the semivalues of finite cooperative n-person games with transferable utilities is given, by using a potential function. The semivalues are proved to be the unique functionals on the space of such games, which are consistent relative to a Hart/Mas Colell type of reduced game and weighted standard for two person games. The potential is also used to prove the validity of a recursive definition of semivalues, as well as the fact that the semivalues are Shapley values of the so called Power Game.


Mathematics | Physical Sciences and Mathematics

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Mathematics Commons



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