Stock market as a dynamic game with continuum of players
Agnieszka Wiszniewska-Matyszkiel (2008)
Control and Cybernetics
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Agnieszka Wiszniewska-Matyszkiel (2008)
Control and Cybernetics
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Milan Hladík (2010)
Kybernetika
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Payoffs in (bimatrix) games are usually not known precisely, but it is often possible to determine lower and upper bounds on payoffs. Such interval valued bimatrix games are considered in this paper. There are many questions arising in this context. First, we discuss the problem of existence of an equilibrium being common for all instances of interval values. We show that this property is equivalent to solvability of a certain linear mixed integer system of equations and inequalities....
Antoci, Angelo, Galeotti, Marcello, Geronazzo, Lucio (2007)
Journal of Applied Mathematics
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Guriev, Sergei, Pospelov, Igor (1999)
Discrete Dynamics in Nature and Society
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Julio Clempner (2006)
International Journal of Applied Mathematics and Computer Science
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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. 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,...
Grebla, Horea Adrian (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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R. INFANTE AND F. R. FERNÁNDEZ J. PUERTO (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Jaideep Roy (2006)
Control and Cybernetics
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Xu, Jiuping, Yao, Liming (2010)
International Journal of Mathematics and Mathematical Sciences
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Protopapas, Mattheos K., Battaglia, Francesco, Kosmatopoulos, Elias B. (2010)
Advances in Decision Sciences
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