Journal
DISCRETE APPLIED MATHEMATICS
Volume 155, Issue 1, Pages 26-43Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.dam.2006.05.002
Keywords
cooperative games; values (power indices); generalized values
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In the framework of cooperative game theory, the concept of generalized value, which is an extension of that of value, has been recently proposed to measure the overall influence of coalitions in games. Axiomatizations of two classes of generalized values, namely probabilistic generalized values and generalized semivalues, which extend probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural extensions of axioms involved in the axiomatizations of values. In the second half of the paper, special instances of generalized semivalues are also axiomatized. (c) 2006 Elsevier B.V. All rights reserved.
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