Dissection of solutions in cooperative game theory using representation techniques |
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Authors: | L. Hernández-Lamoneda R. Juárez F. Sánchez-Sánchez |
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Affiliation: | (1) CIMAT, Guanajuato, Mexico;(2) Department of Economics, Rice University, Houston, USA |
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Abstract: | We compute a decomposition for the space of cooperative TU-games under the action of the symmetric group S n . In particular we identify all irreducible subspaces that are relevant to the study of symmetric linear solutions – namely those that are isomorphic to the irreducible summands of . We then use such decomposition to derive, in a very economical way, some old and some new results for linear symmetric solutions. |
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