3 edition of **Game-theoretical control problems** found in the catalog.

Game-theoretical control problems

N. N. Krasovskii

- 334 Want to read
- 17 Currently reading

Published
**1988** by Springer-Verlag in New York, London .

Written in English

- Differential games.,
- Control theory.

**Edition Notes**

Statement | N. N. Krasovskii and A.I. Subbotin ; translated by Samuel Kotz. |

Series | Springer series in Soviet mathematics |

Contributions | Subbotin, A. I. |

Classifications | |
---|---|

LC Classifications | QA272 |

ID Numbers | |

Open Library | OL21347280M |

ISBN 10 | 0387963898 |

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This book is devoted to an investigation of control problems which can be described by ordinary differential equations and be expressed in terms of game theoretical notions. In these terms, a strategy is a control based on the feedback principle which will assure a definite equality for the controlled process which is subject to uncertain factors such as a move or a controlling action of the opponent.

Contents: Game-Theoretical Control; Differential Game of Approach-Evasion; Existence of the Value for a Positional Differential Game; Dynamic Programming; Extremal Aiming; Extremal Aiming for Nonlinear Differential Games; Prior Stable Sets; Qualitative Problems in the Theory of Differential Games; Mixed Strategies in Differential Games; Lower and Upper Differential Games; Differential-Functional Games.

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Morgenstern’s book, Theory of games and economic behavior, published in This was followed by important work by John Nash () and Lloyd Shapley (). Game theory had a major influence on the development of several branches of economics (industrial organization, international trade, labor economics, macroeconomics, etc.).

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Outline of Presentation 1 Control Theory Compared with Game Theory 2 Control-oriented Games Adaptive Strategy in Games State-Space Approach Man-Machine Games 3 Potential Games 4 Game-based Controls Consensus of MAS Distributed Coverage of Graphs Congestion GamesFile Size: KB. Books shelved as game-theory: The Art of Strategy: A Game Theorist's Guide to Success in Business and Life by Avinash K.

Dixit, The Evolution of Cooperat. One setting, which is one of con ict, where game theory and control theory have had a long standing connection are strictly competitive games, more commonly known as zero-sum games. There are two players, and what is to the bene t of one player is to the detriment of the other.

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Introduction to Game Theory Problem Set #2 Jörgen Weibull 1. Consider the two-player game LR T 2,70,0 B 2,03,1 (a) Find the set of (pure and mixed) Nash equilibria. Mathematical exploration is a deep form of play, that maxim is embodied in this book.

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Solution: It can be seen that strategy 2 dominates strategy 1. For strate-gies 2 or 3 neither dominates the other. Depending on the strategy selected by the manager either of the two strategies can result in higher Size: 48KB. Game theory is the study of mathematical models of strategic interaction among rational decision-makers.

It has applications in all fields of social science, as well as in logic, systems science and computer ally, it addressed zero-sum games, in which each participant's gains or losses are exactly balanced by those of the other participants.

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A Game Theoretic Approach to Controller Design for Hybrid Systems In the continuous domain, control problems of the safety type have been addressed in the context of pursuit evasion games [11].

In this paper, we concentrate on the solution of safety speciﬁcations for. This manual contains all publicly-available solutions to exercises in my book An Introduction to Game Theory (Oxford University Press, ).

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We are grateful to D.M. Patterson and Wiley-Blackwell for granting permission to republish portions of that chapter : Jon Hanson, Kathleen Hanson, Melissa Hart. The problem of finding an optimal strategy in a differential game is closely related to the optimal control theory.

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Control theory, field of applied mathematics that is relevant to the control of certain physical processes and systems. Although control theory has deep connections with classical areas of mathematics, such as the calculus of variations and the theory of differential equations, it did not become a field in its own right until the late s and early s.It is applicable to many fields, including military problems and economics.

The Nobel Memorial Prize in Economic Sciences was awarded to Nash, John Harsanyi, and Reinhard Selten (), to Robert J. Aumann and Thomas C.

Schelling (), and to Lloyd Shapley and Alvin Roth () for work in applying game theory to aspects of economics.The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics.

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