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Cooperative games with a priori unions: introduction of a wide set of solutions
Giménez Pradales, José Miguel
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
The semivalues are solution concepts for cooperative games that assign to each player a weighted sum of his/her marginal contributions to the coalitions, where the weights only depend on the coalition size. The Shapley value and the Banzhaf value are semivalues. The solutions introduced here are modifications of the semivalues when we consider a priori coalition blocks in the player set. A first semivalue is used among the coalition blocks and a second semivalue acts within each block. For all these solutions, we offer a computation procedure based on suitable modifications of the multilinear extension of the game and a product of matrices.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
Game theory
Cooperative Game
Solution
Semivalue
Coalition Structure
Multilinear Function
Teoria de jocs
Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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