Differential games : a concise introduction / Jiongmin Yong.
Material type:
- 9789814596220
- 519.3 23 Y55
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 519.3 Y55 (Browse shelf(Opens below)) | Available | 137453 |
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519.3 Y48 Subgame consistent economic optimization | 519.3 Y48 Cooperative stochastic differential games / | 519.3 Y48 Subgame consistent cooperation : | 519.3 Y55 Differential games : | 519.3 Y72 Tactical lobbying game | 519.3 Y72 Handbook of game theory / | 519.3 Z12 Stochastic adaptive search for global optimization |
Includes bibliographical references and index.
1. Introduction --
2. Control theory- single-player differential games --
3. Two-person zero sum differential games- a general consideration --
4. Differential games with unbounded controls --
5. Differential games of pursuit and evasion --
6. Linear-quadratic differential games --
7. Differential games with switching strategies.
This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
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