About: Dynamic Replicator Equation as a Gradient System

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The bimatrix replicator equation describes an evolutionary dynamics for asymmetric conflicts. The phase variables are defined on the interiors of the probability simplexes. In the continuous case and under some assumptions, the equation corresponds to certain gradient system. The contribution introduces a %22delta outer derivative%22 of a function with respect to a function defined on a time scale. The main result presents necessary and sufficient conditions for existence of a function defined on the tangent space to the cartesian product of the simplexes such that its %22outer delta derivative%22 equals to an inner product of RHS,s of the equation with a vector in the tangent space. The bimatrix replicator equation describes an evolutionary dynamics for asymmetric conflicts. The phase variables are defined on the interiors of the probability simplexes. In the continuous case and under some assumptions, the equation corresponds to certain gradient system. The contribution introduces a %22delta outer derivative%22 of a function with respect to a function defined on a time scale. The main result presents necessary and sufficient conditions for existence of a function defined on the tangent space to the cartesian product of the simplexes such that its %22outer delta derivative%22 equals to an inner product of RHS,s of the equation with a vector in the tangent space. (en)
Title	Dynamic Replicator Equation as a Gradient System Dynamic Replicator Equation as a Gradient System (en)
skos:prefLabel	Dynamic Replicator Equation as a Gradient System Dynamic Replicator Equation as a Gradient System (en)
skos:notation	RIV/00216224:14310/09:00029555!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA201/07/0145), S
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Pospíšil, Zdeněk
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	311644
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/09:00029555
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Replicator equation; time scale; bimatrix game; evolutionary dynamics (en)
http://linked.open.../riv/klicoveSlovo	time scale evolutionary dynamics Replicator equation bimatrix game
http://linked.open...ontrolniKodProRIV	[368674461D54]
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Difference equations and dynamic equations on time scales II
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Pospíšil, Zdeněk
http://localhost/t...ganizacniJednotka	14310

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