Abstract
The problem of Hierarchical structure in communicating with distantly located objects is formulated as M player N player nonzero sum game. A index for smallest winning coalition is introduced. Behavior strategy for coalition formed for evasion, and mixed strategy for coalition formed for pursuit are obtained. Repeatability and Precesion are defined for their application in communicating with distant bio objects. Necessary conditions of reachability for distantly located object with zero stop probability is formulated as Bimatrix game. Solution of Stochastic Bimatrix game in finite countable space is obtained. It is shown that mixed strategy used by pursuer over infinitely large partition is also an optimum strategy for stochastic game.
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References
Kang, H.S. (1972) Optimal Stochastic Control Via Differential Games. Hawaii Systems Science Confererance, Hawaii, U.S.A.
Tsokos, C.P., and Padsett, W.J. (1971) Random Integral Equation with Applications to Stochastic Systems. Springer Verlag, Berlin.
Gaughan, E. (1968) Introduction to Analysis. Bokks/Cole Publication Cp, Div. of Wadisworth Publishing Co, Belmont.
Friedman, A. (1971) Differential Games. Wieley- Interscience,John Wieley and Sons, London.
Kang, H.S.. (1970) On the Lyopunov Design of Systems with Zeros in Right Half Plane, I.E.E.E. Transactions on Automatic Control, Vol 2, 1970, U.S.A.
Kang, H.S. (1995) Canonical Transformation in Modelling Biosystems. IFAC - 17th 1FIP TC7. Conference on Systems Modelling and Otimization, July 1995, Prague, Czech Rep.
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© 1996 Springer Science+Business Media Dordrecht
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Kang, H.S. (1996). Game of pursuit with zero stop probability. In: Doležal, J., Fidler, J. (eds) System Modelling and Optimization. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34897-1_34
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DOI: https://doi.org/10.1007/978-0-387-34897-1_34
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-6671-4
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