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2011 | 31 | 1 | 23-37

Tytuł artykułu

Necessary conditions for linear noncooperative N-player delta differential games on time scales

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Języki publikacji

EN

Abstrakty

EN
We present necessary conditions for linear noncooperative N-player delta dynamic games on an arbitrary time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryless perfect state Nash-equilibrium are proved.

Twórcy

  • Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
  • Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

Bibliografia

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  • [10] G. Jank, Introduction to non-cooperative dynamical game theory, University of Aveiro, 2007 (personal notes).
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  • [12] L.S. Pontryagin, V.G. Boltyanskij, R.V. Gamkrelidze and E.F. Mishchenko, The mathematical theory of optimal processes, Translated from Russian by K.N. Trirogoff; edited by L.W. Neustadt, Interscience Publishers John Wiley & Sons, Inc., New York-London, 1962.

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