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, 1974

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Springer 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.
 

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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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