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Problems In Two Person Zero Sum Stochastic Games

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Problems In Two Person Zero Sum Stochastic Games

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Author : Piercesare Secchi
language : en
Publisher:
Release Date : 1995

Problems In Two Person Zero Sum Stochastic Games written by Piercesare Secchi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Two Person Zero Sum Games

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Author : Alan R. Washburn
language : en
Publisher: INFORMS
Release Date : 2003

Two Person Zero Sum Games written by Alan R. Washburn and has been published by INFORMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Game theory categories.

Stochastic Games And Related Concepts

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Author : T. Parthasarathy
language : en
Publisher: Springer Nature
Release Date : 2020-12-08

Stochastic Games And Related Concepts written by T. Parthasarathy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-08 with Mathematics categories.

This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike.

Deception In Two Player Zero Sum Stochastic Games

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Author :
language : en
Publisher:
Release Date : 2006

Deception In Two Player Zero Sum Stochastic Games written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

In this work, two-player zero-sum stochastic games, under imperfect information, are investigated in the discrete-time/discrete-state case. We focus on the case where only one player, Blue, has incomplete or partial information and the other player, Red, has complete state information. In stochastic games with partial information the Information State is a function of a conditional probability distribution. In the problem form here, the payoff is only a function of the terminal state of the system, and the initial information state is a max-plus sum of max-plus delta functions. The Blue player can achieve robustness to the effect of Red's control on its observations. Using the recently established deception-robust theory, we demonstrate that the full state-feedback optimal control applied at the Maximum Likelihood State ('MLS') is not optimal for the Blue player in a partially-observed game and hence the Certainty Equivalence Principle does not hold. An automated deception-enabled control algorithm is derived for the Red player with an assumption that Red can model the Blue algorithm completely. An example game is used to demonstrate that even for the Red player, with complete state information, the optimal control is not the state-feedback optimal control. A future study of deception-enabled Red approach is proposed in the mixed strategy framework. Lastly, some modelling ideas are presented for Urban Warfare. The example cases considered in this study are simple enough to allow an intuitive understanding of optimal strategies, while complex enough to demonstrate real-world difficulties. The theory discussed here is more general than the specific application which has been presented owing to the critical nature of imperfect information and hence its utility in war games.

Stochastic And Differential Games

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Author : Martino Bardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic And Differential Games written by Martino Bardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L.

Games Theory And Applications

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Author : L. C. Thomas
language : en
Publisher:
Release Date : 1984

Games Theory And Applications written by L. C. Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Game theory categories.

This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.

Dynamic Noncooperative Game Theory

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Author : Tamer Basar
language : en
Publisher: SIAM
Release Date : 1999-01-01

Dynamic Noncooperative Game Theory written by Tamer Basar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.

Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.