Value Theory without Efficiency
A semivalue is a symmetric positive linear operator on a space of games, which leaves the additive games fixed. Such an operator satisfies all of the axioms defining the Shapley value, with the possible exception of the efficiency axiom. The class of semivalues is completely characterized for the space of finite-player games, and for the space pNA of nonatomic games.
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|Date of creation:||1979|
|Publication status:||Published in Mathematics of Operations Research (February 1981), 6(1): 122-128|
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roth, Alvin, 2012.
"The Shapley Value as a von Neumann-Morgenstern Utility,"
Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 1-9.
- Roth, Alvin E, 1977. "The Shapley Value as a von Neumann-Morgenstern Utility," Econometrica, Econometric Society, vol. 45(3), pages 657-664, April.
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