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A Non Cooperative Game in a Distributed Parameter System

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Optimization Techniques IFIP Technical Conference

Part of the book series: Lecture Notes in Computer Science ((LNCIS))

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Abstract

This paper is devoted to study a class of differential games for distributed parameter systems. Essentially we study a Nash equilibrium point for a system governed by a parabolic equation. A method based on the SCARF-HANSEN [1] algorithm for solution of non-cooperative games is given.

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References

  1. A. BENSOUSSAN “Point de Nash pour des jeux différentiels à n personnes”. To appear in SIAM J. of Control.

    Google Scholar 

  2. A. BENSOUSSAN, J.L. LIONS, R. TEMAM Cahier de l’IRIA n°11. June 1972.

    Google Scholar 

  3. J.D. BREDEHOEFT, R. YOUNG “The temporal allocation of a ground-water a simulation approach”. Water Resource Research. Vol. 6 n°1. (1970)

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  4. B.C. EAVES “Computing Kakutani fixed points” Siam J. of Appl. Math. Vol. 21 n° 2 (1971).

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  5. T. HANSEN, H. SCARF “On the approximation of a Nash equil.point” Cowles Foundation. Discussion paper n°272.

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  6. H.W. KUHN “Simplicial approximation of fixed points”. Proc. N.A.S. n°6 (1968).

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  7. J.L. LIONS Contrôle optimal des systèmes distribués. DUNOD (1968).

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  8. J.L. LIONS Quelques méthodes de résolution des problèmes non linéaires. DUNOD Paris (1969).

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  9. J. NASH “Equilibrium points in N person game”. Proc. of N.A.A. Vol. 36 (1950).

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  10. J.B. ROSEN “Existence and uniqueness of Equilibrium point for concave n-person game”. Econometrica Vol. 33 n°3 (1965).

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  11. H. SCARF 16 “The approx. of fixed points...”. SIAM J. of App. Math. Vol. 15 n°5 (1967).

    Google Scholar 

  12. J.P. YVON To appear.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Iria - Laboria, 73 - Rocquencourt, France

    J. P. Yvon

Authors
  1. J. P. Yvon
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Editor information

Editors and Affiliations

  1. Computer Center, 630090, Novosibirsk, USSR

    G. I. Marchuk

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© 1975 Springer-Verlag Berlin Heidelberg

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Yvon, J.P. (1975). A Non Cooperative Game in a Distributed Parameter System. In: Marchuk, G.I. (eds) Optimization Techniques IFIP Technical Conference. Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-38527-2_70

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  • DOI: https://doi.org/10.1007/978-3-662-38527-2_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-37713-0

  • Online ISBN: 978-3-662-38527-2

  • eBook Packages: Springer Book Archive

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