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Artículo
Cooperative games under augmenting systems
dc.creator | Bilbao Arrese, Jesús Mario | es |
dc.date.accessioned | 2017-04-17T14:32:41Z | |
dc.date.available | 2017-04-17T14:32:41Z | |
dc.date.issued | 2003 | |
dc.identifier.citation | Bilbao Arrese, J.M. (2003). Cooperative games under augmenting systems. SIAM Journal on Discrete Mathematics, 17 (1), 122-133. | |
dc.identifier.issn | 08954801 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57577 | |
dc.description.abstract | The goal of this paper is to develop a theoretical framework inorder to analyze cooperative games inwhic h only certaincoalition s are allowed to form. We will axiomatize the structure of such allowable coalitions using the theory of antimatroids, a notion developed for combinatorially abstract sets. There have been previous models developed to confront the problem of unallowable coalitions. Games restricted by a communication graph were introduced by Myerson and Owen. We introduce a new combinatorial structure called augmenting system, which is a generalization of the antimatroid structure and the system of connected subgraphs of a graph. The main result of the paper is a direct formula of Shapley and Banzhaf values for games under augmenting systems restrictions. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Discrete Mathematics, 17 (1), 122-133. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Cooperative game | es |
dc.subject | Shapley value | es |
dc.subject | Banzhaf value | es |
dc.subject | Set systems | es |
dc.title | Cooperative games under augmenting systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/10.1137/S0895480102402745 | es |
dc.identifier.doi | 10.1137/S0895480102402745 | es |
idus.format.extent | 12 p. | es |
dc.journaltitle | SIAM Journal on Discrete Mathematics | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 122 | es |
dc.publication.endPage | 133 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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cooperative.pdf | 165.4Kb | [PDF] | Ver/ | |