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Axiomatic of the Shapley value of a game with a priori unions |
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| Authors: | J. M. Alonso-Meijide B. Casas-Méndez A. M. González-Rueda S. Lorenzo-Freire |
| Affiliation: | 1. MODESTYA Research Group, Department of Statistics and Operations Research and Faculty of Sciences, University of Santiago de Compostela, Santiago de Compostela, Spain 2. MODESTYA Research Group, Department of Statistics and Operations Research and Faculty of Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain 3. Department of Statistics and Operations Research and Faculty of Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain 4. MODES Research Group, Department of Mathematics and Faculty of Computer Science, University of A Coru?a, 15071, A Coru?a, Spain |
| Abstract: | In this paper, we define a modification of the Shapley value for the model of TU games with a priori unions. We provide two characterizations of this value and a new characterization of the Banzhaf–Owen coalitional value. |
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