The Shapley value for games on matroids: the dynamic model

J.M. Bilbao, Theo Driessen, A. Jimenez-Losada, E. Lebron

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)287-301
Number of pages14
JournalMathematical methods of operations research
Volume56
Issue number2
DOIs
Publication statusPublished - 2002

Keywords

  • METIS-208497

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