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  • Articles  (7)
  • Differential games  (7)
  • Springer  (7)
  • Annual Reviews
  • Blackwell Publishing Ltd
  • Elsevier
  • Oxford University Press
  • Periodicals Archive Online (PAO)
  • Wiley
  • 2005-2009
  • 1990-1994
  • 1980-1984  (7)
  • 2008
  • 2007
  • 2005
  • 1982  (5)
  • 1980  (2)
  • Mathematics  (7)
  • Philosophy
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  • Articles  (7)
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  • Springer  (7)
  • Annual Reviews
  • Blackwell Publishing Ltd
  • Elsevier
  • Oxford University Press
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  • 2005-2009
  • 1990-1994
  • 1980-1984  (7)
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  • Mathematics  (7)
  • Philosophy
  • 1
    Electronic Resource
    Electronic Resource
    Multimodel design of a Nash strategy (1980)
    Springer
    Journal of optimization theory and applications 31 (1980), S. 553-564 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; perturbation theory ; systems order reduction ; large-scale systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For interconnected systems with slow and fast modes, we analyze a multimodel design of a Nash equilibrium strategy. Decision makers use different models of the same system to obtain a composite strategy that approximates the exact Nash strategy. It is discussed in what sense this approximation holds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934477
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Remarks on capture-avoidance games (1980)
    Springer
    Journal of optimization theory and applications 32 (1980), S. 365-377 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; pursuit and evasion ; capture avoidance ; linear games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We formulate the problems of capture and avoidance as differential games with terminal cost, thus avoiding some difficulties arising from choosing the terminal time or the closest distance as the cost. This puts capture and avoidance in the context of differential games, in the sense of Isaacs. The results are illustrated via linear differential games with hard control constraints.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934558
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  • 3
    Electronic Resource
    Electronic Resource
    On the isochronous and stroboscopic capture in differential games (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 115-119 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; isochronous capture ; stroboscopic strategy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Ref. 1, Hájek formulated the conjecture that isochronous capture is necessarily stroboscopic in linear differential games. Here, it is shown that this conjecture is not valid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934369
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  • 4
    Electronic Resource
    Electronic Resource
    A class of differential games for which the closed-loop and open-loop Nash equilibria coincide (1982)
    Springer
    Journal of optimization theory and applications 36 (1982), S. 253-262 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; Nash equilibria ; open-loop strategies ; closed-loop strategies
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract It is well known that, in general, Nash equilibria in open-loop strategies do not coincide with those in closed-loop strategies. This note identifies a class of differential games in which the Nash equilibrium in closed-loop strategies is degenerate, in the sense that it depends on time only. Consequently, the closed-loop equilibrium is also an equilibrium in open-loop strategies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933832
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  • 5
    Electronic Resource
    Electronic Resource
    Singular differential game numerical techniques (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 69-87 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; singular arcs ; saddle points ; two-point boundary-value problems ; switching times ; closed-loop solutions ; inverse systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper develops a numerical technique to solve a class of zero-sum differential games with singular control. By using this technique and the application of inverse systems, a near-optimal closed-loop technique is developed to generate a numerical solution to this class of problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934367
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  • 6
    Electronic Resource
    Electronic Resource
    Remarks on capture-avoidance games (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 121-122 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; pursuit and evasion ; captureavoidance ; linear games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Corrections to some results of Ref. 1 are stated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934370
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  • 7
    Electronic Resource
    Electronic Resource
    Existence of value in differential games with fixed time duration (1982)
    Springer
    Journal of optimization theory and applications 38 (1982), S. 581-598 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; optimal strategies ; value of a game
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A differential game of prescribed duration with general-type phase constraints is investigated. The existence of a value in the Varaiya-Lin sense and an optimal strategy for one of the players is obtained under assumptions ensuring that the sets of all admissible trajectories for the two players are compact in the Banach space of all continuous functions. These results are next widened on more general games, examined earlier by Varaiya.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934489
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