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April 10, 2013 - May 8, 2026
April 10, 2013 - May 8, 2026
Pradeep Dubey
Cowles Foundation for Research in Economics, Yale University, New Haven, Connecticut 06520
Abraham Neyman
Department of Mathematics, University of California, Berkeley, California 94720
Robert James Weber
J. L. Kellogg Graduate School of Management, Northwestern University, Evanston, Illinois 60201
Pradeep Dubey
Cowles Foundation for Research in Economics, Yale University, New Haven, Connecticut 06520
Abraham Neyman
Department of Mathematics, University of California, Berkeley, California 94720
Robert James Weber
J. L. Kellogg Graduate School of Management, Northwestern University, Evanston, Illinois 60201
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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