Open AccessValue Theory Without Efficiency
Author(s) -
Pradeep Dubey,
Abraham Neyman,
Robert J. Weber
Publication year - 1981
Publication title -
mathematics of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.619
H-Index - 83
eISSN - 1526-5471
pISSN - 0364-765X
DOI - 10.1287/moor.6.1.122
Subject(s) - mathematics , axiom , shapley value , space (punctuation) , class (philosophy) , operator (biology) , value (mathematics) , mathematical economics , discrete mathematics , game theory , combinatorics , computer science , statistics , biochemistry , chemistry , geometry , repressor , artificial intelligence , transcription factor , gene , operating system
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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