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

Natália Martins; Delfim F.M. Torres

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2011)

  • Volume: 31, Issue: 1, page 23-37
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Natália Martins, and Delfim F.M. Torres. "Necessary conditions for linear noncooperative N-player delta differential games on time scales." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 31.1 (2011): 23-37. <http://eudml.org/doc/271165>.

@article{NatáliaMartins2011,
abstract = {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.},
author = {Natália Martins, Delfim F.M. Torres},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {delta differential games; dynamic games on time scales; Nash-equilibrium},
language = {eng},
number = {1},
pages = {23-37},
title = {Necessary conditions for linear noncooperative N-player delta differential games on time scales},
url = {http://eudml.org/doc/271165},
volume = {31},
year = {2011},
}

TY - JOUR
AU - Natália Martins
AU - Delfim F.M. Torres
TI - Necessary conditions for linear noncooperative N-player delta differential games on time scales
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2011
VL - 31
IS - 1
SP - 23
EP - 37
AB - 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.
LA - eng
KW - delta differential games; dynamic games on time scales; Nash-equilibrium
UR - http://eudml.org/doc/271165
ER -

References

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  10. [10] G. Jank, Introduction to non-cooperative dynamical game theory, University of Aveiro, 2007 (personal notes). 
  11. [11] G. Leitmann, Cooperative and non-cooperative many players differential games, Course held at the Department of Automation and Information, July 1973. International Centre for Mechanical Sciences, Courses and Lectures No. 190, Wien - New York: Springer-Verlag, 1974. Zbl0358.90085
  12. [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. Zbl0102.32001

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