On the optimal strategy in a random game.
Jonasson, Johan (2004)
Electronic Communications in Probability [electronic only]
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Jonasson, Johan (2004)
Electronic Communications in Probability [electronic only]
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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,...
Gerasimos T. Soldatos (2000)
The Yugoslav Journal of Operations Research
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Jaideep Roy (2006)
Control and Cybernetics
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R. G. Cassidy, C. A. Field, M. J. L. Kirby (1971)
RAIRO - Operations Research - Recherche Opérationnelle
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Shafer, Glenn (2009)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Xu, Jiuping, Yao, Liming (2010)
International Journal of Mathematics and Mathematical Sciences
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V. Aggarwal, K. P. K. Nair, R. Chandrasekaran (1980)
RAIRO - Operations Research - Recherche Opérationnelle
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Ethier, S.N., Lee, Jiyeon (2009)
Electronic Journal of Probability [electronic only]
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Heuer, Gerald H. (2001)
International Journal of Mathematics and Mathematical Sciences
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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....