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<dc:title xml:lang="pl"><![CDATA[Modeling shortest path games with Petri nets: A Lyapunov based theory]]></dc:title>
<dc:creator><![CDATA[Clempner, Julio]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[shortest path game]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[game theory]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Nash equilibrium point]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lyapunov equilibrium point]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Bellman?s equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lyapunov-like fuction]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[stability]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In this paper we introduce a new modeling paradigm for shortest path games representation with Petri nets. Whereas previous works have restricted attention to tracking the net using Bellman's equation as a utility function, this work uses a Lyapunov-like function.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[In this sense, we change the traditional cost function by a trajectory-tracking function which is also an optimal cost-to-target function. This makes a significant difference in the conceptualization of the problem domain, allowing the replacement of the Nash equilibrium point by the Lyapunov equilibrium point in game theory.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[We show that the Lyapunov equilibrium point coincides with the Nash equilibrium point. As a consequence, all properties of equilibrium and stability are preserved in game theory. This is the most important contribution of this work. The potential of this approach remains in its formal proof simplicity for the existence of an equilibrium point.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2006]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/57547/AMCS_2006_16_3_9.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/64107/edition/57547/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:57547]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 16, number 3 (2006)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=paper&paper=304]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:64107]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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