2026-04-23T00:41:21Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/38112024-05-13T10:38:52Zcom_10259_3830com_10259_5086com_10259_2604col_10259_3832

Izquierdo, Segismundo S. 4e3f9084-ce78-4483-84da-09c5ec53d481 500 Izquierdo Millán, Luis Rodrigo 299 500 0000-0003-1057-4465 2015-08-25T10:18:27Z 2015-08-25T10:18:27Z 2011-09 2073-4336 http://hdl.handle.net/10259/3811 10.3390/g2030355 The replicator-mutator dynamics is a set of differential equations frequently used in biological and socioeconomic contexts to model evolutionary processes subject to mutation, error or experimentation. The replicator-mutator dynamics generalizes the widely used replicator dynamics, which appears in this framework as the extreme case where replication is perfectly precise. This paper studies the influence of strictly dominated strategies on the location of the rest points of the replicator-mutator dynamics, at the limit where the mutation terms become arbitrarily small. It can be proved that such limit rest points for small mutation are Nash equilibria, so strictly dominated strategies do not occur at limit stationary points. However, we show through a simple case how strictly dominated strategies can have an influence on the location of the limit rest points for small mutation. Consequently, the characterization of the limit rest points of the replicator-mutator dynamics cannot in general proceed safely by readily eliminating strictly dominated strategies JCyL (GREX251-2009 and VA006B09), Ministry of Science and Innovation (TIN2008-06464-C03-02, DPI2010-16920 and CSD2010-00034), Ministry of Education (grant JC2009-00263) application/pdf eng MDPI Games (2011), v.2, n.4, p.355-364 http://www.mdpi.com/2073-4336/2/3/355 info:eu-repo/grantAgreement/JCyL/GREX251-2009 info:eu-repo/grantAgreement/JCyL/VA006B09 info:eu-repo/grantAgreement/MICINN/TIN2008-06464-C03-02 info:eu-repo/grantAgreement/MICINN/DPI2010-16920 info:eu-repo/grantAgreement/MICINN/CSD2010-00034 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Replicator-mutator Dominated strategies Limit stationary states Limit rest points Industrial management Gestión de empresas Strictly Dominated Strategies in the Replicator-Mutator Dynamics info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 805 https://riubu.ubu.es/bitstream/10259/3811/8/license_rdf 4460e5956bc1d1639be9ae6146a50347 MD5 8 THUMBNAIL games-02-00355.pdf.jpg games-02-00355.pdf.jpg IM Thumbnail image/jpeg 4527 https://riubu.ubu.es/bitstream/10259/3811/7/games-02-00355.pdf.jpg 4ca8ebb0d971a4331740f73f33c6a594 MD5 7 ORIGINAL games-02-00355.pdf games-02-00355.pdf application/pdf 1618892 https://riubu.ubu.es/bitstream/10259/3811/1/games-02-00355.pdf 2073436a94ae81f632f35078ba492073 MD5 1 LICENSE license.txt license.txt text/plain; charset=utf-8 1362 https://riubu.ubu.es/bitstream/10259/3811/5/license.txt 5d013bfa6e473ff0db22cd82a4d71a70 MD5 5 TEXT games-02-00355.pdf.txt games-02-00355.pdf.txt Extracted text text/plain 23841 https://riubu.ubu.es/bitstream/10259/3811/6/games-02-00355.pdf.txt ea8cffec80e3b688f0298d3c47e0ba7a MD5 6 10259/3811 oai:riubu.ubu.es:10259/3811 2024-05-13 12:38:52.083 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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