The Shapley value for games on matroids: The dynamic model

J. M. Bilbao, T. S. H. Driessen, A. Jiménez-Losada and E. Lebrón

Mathematical Methods of Operations Research, 2002, vol. 56, issue 2, 287-301

Abstract: According to the work of Faigle [3] a static Shapley value for games on matroids has been introduced in Bilbao, Driessen, Jiménez-Losada and Lebrón [1]. In this paper we present a dynamic Shapley value by using a dynamic model which is based on a recursive sequence of static models. In this new model for games on matroids, our main result is that there exists a unique value satisfying analogous axioms to the classical Shapley value. Moreover, we obtain a recursive formula to calculate this dynamic Shapley value. Finally, we prove that its components are probabilistic values. Copyright Springer-Verlag Berlin Heidelberg 2002

Keywords: Mathematics Subject Classification 2000: 91A12; Key words: matroid; cooperative game; Shapley value (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/s001860200213

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