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  • Articles  (4)
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  • differential games  (4)
  • 1985-1989
  • 1980-1984  (4)
  • 1960-1964
  • 1940-1944
  • 1981  (4)
  • Mathematics  (4)
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  • Articles  (4)
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  • 1985-1989
  • 1980-1984  (4)
  • 1960-1964
  • 1940-1944
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  • Mathematics  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Planar pursuit-evasion with variable speeds, part 2, barrier sections (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 419-432 
    Details
    ISSN: 1573-2878
    Keywords: Pursuit-evasion ; game barriers ; differential games ; aerial combat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An iterative method of constructing sections of the game surfaces from the players' extremal trajectory maps is discussed. Barrier sections are presented for aircraft pursuit-evasion at constant altitude, with one aircraft flying at sustained speed and the other varying its speed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935253
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Sufficient conditions for optimality of threat strategies in a differential game (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 99-109 
    Details
    ISSN: 1573-2878
    Keywords: Game theory ; nonzero-sum games ; differential games ; threat strategies
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of defining threat strategies in nonzero-sum games is considered, and a definition of optimal threat strategies is proposed in the static case. This definition is then extended to differential games, and sufficient conditions for optimality of threat strategies are derived. These are then applied to a simple example. The definition proposed here is then compared with the definition of threat strategies given by Nash.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935179
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Optimal threat strategies in collective bargaining (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 111-120 
    Details
    ISSN: 1573-2878
    Keywords: Game theory ; differential games ; threat strategies ; collective bargaining
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A model of collective bargaining in differential games, similar to one considered by Leitmann (Ref. 1), is proposed. Optimal threat strategies are then found and compared with Leitmann's solution. Nash-optimal threat strategies are also found and compared with the other two solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935180
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Planar pursuit-evasion with variable speeds, part 1, extremal trajectory maps (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 401-418 
    Details
    ISSN: 1573-2878
    Keywords: Pursuit-evasion ; game barriers ; differential games ; aerial combat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Pursuit evasion in a plane is formulated with both players allowed to vary their speeds between fixed limits. A suitable choice of real-space coordinates confers open-loop optimality on the game. The solution in the small is described in terms of the individual players' extremal trajectory maps (ETM). Each map is independent of role, adversary, and capture radius. An ETM depicts the actual real-space trajectories. A template method of generating constant control arcs is described. Examples of ETM for an aircraft flying at a constant altitude with fixed and varying speeds are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935252
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    Paper (German National Licenses)
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