The Theory and Application of Differential Games: Proceedings of the NATO Advanced Study Institute held at the University of Warwick, Coventry, England, 27 August–6 September, 1974Springer Science & Business Media, 1975 M02 1 - 310 páginas The ~irst international con~erence on differential games was held at Amherst, Massachusetts, in September 1969. A second meeting, partially supported by N.A.T.O., was held in Varenna, Italy, in June 1970. At these conferences many new theoretical results and applications, especially in economic problems, were presented. The present volume consists o~ the lectures presented at a N.A.T.O. Advanced Study Institute on the "Theory and Applications of Differential Games" held at the University of Warwick, Coventry, England, from 27th August to 6th September, 1974. The main contributions during the first week consisted of a survey of two person zero sum differential games by L. D. Berkovitz and four integrated lectures by R. J. Elliott and N. J. Kalton, who have made important contributions to the concept of "value" of a differential game. Applications were featured during the second week and included tactical air games, pursuit and evasion problems, as well as computational aspects. A closing lecture with historical perspectives was given by Rufus Issacs, the recognised pioneer of differential games theory. |
Contenido
THE PAST AND SOME BITS OF THE FUTURE | 1 |
AN OVERVIEW | 13 |
COMPETITIVE DYNAMIC SITUATIONS STRATEGIES AND VALUES | 23 |
STOCHASTIC GAMES AND PARABOLIC EQUATIONS | 35 |
DIFFERENTIAL GAMES OF SURVIVAL | 45 |
SOLUTION SETS FOR NPERSON GAMES | 63 |
ALTERNATIVES TO THE TREE MODEL FOR EXTENSIVE GAMES | 77 |
COOPERATIVE AND NONCOOPERATIVE DIFFERENTIAL GAMES | 85 |
A MULTIMOVE GAME WITH MIXED STRATEGY SOLUTION | 169 |
IMPULSIVELY CONTROLLED DG | 179 |
THE THEORY OF HAMILTONIAN DYNAMICAL SYSTEMS AND AN APPLICATION TO ECONOMICS | 189 |
AVERAGED HAMILTONIANS IN DIFFERENTIAL GAMES | 201 |
COMPUTATIONAL ASPECTS IN TWOLEVEL DIFFERENTIAL GAMES | 209 |
COMPUTED SOLUTIONS OF DIFFERENTIAL GAMES | 221 |
OPTIMALITY AND TRANSITION SURFACES USING THE REPRISAL CONCEPT | 229 |
PURSUIT OF A FASTER EVADER | 243 |
NPERSON STOCHASTIC DIFFERENTIAL GAMES | 97 |
PROBLEM STATEMENT AND EXAMPLES NEW GEOMETRIC ASPECTS | 109 |
STRATEGIC PREJUDGMENTS AND DECISION CRITERIA IN NPERSON GAMES | 121 |
MANY PLAYER DIFFERENTIAL GAMES WITH COALITIONS | 133 |
EXTENSION OF 2 PERSON ZERO SUM GAME | 145 |
DIFFERENTIAL GAMES WITH PARTIAL DIFFERENTIAL EQUATIONS | 157 |
AERIAL TURNING CHASES | 257 |
AVOIDANCE OF GUIDED PROJECTILES | 267 |
A SURVEY | 281 |
VALUES OF POSITIONAL GAMES | 293 |
CATASTROPHE THEORY IN DIFFERENTIATE GAMES | 301 |
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The Theory and Application of Differential Games: Proceedings of the NATO ... NATO Advanced Study Institute Staff Sin vista previa disponible - 1975 |
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aircraft Application of Differential assume assumption BARRIER CROSS SECTION C-optimal capture chooses coalition compact consider constraints control theory convex cooperative corresponding counter-air critical point defined definition denote differential games Dordrecht-Holland evader example exists Friedman game theory given Hamiltonian initial Isaacs J. D. Grote Kalton Leitmann Lemma linear loft-ceiling mapping Math Mathematics maximize minimax minimizing mixed strategies multivalued function n-person N-tuple Nash equilibrium necessary conditions obtain optimal control optimal strategies Optimization Theory Pareto optimal Pareto optimal solution play playable player problem proportional navigation pure strategy pursuer pursuit-evasion Reidel Publishing Company respect saddle point satisfy stochastic stochastic games strategic prejudgment strategy N-tuple subset sufficient conditions Suppose target terminal Theorem Theory and Appl trajectories transition surfaces u₁ University of Warwick upper value V₁ vector field y₁ zero sum game zero-sum