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Stochastic and Differential Games - Theory and Numerical Methods (Hardcover, 1999 ed.): Martino Bardi, T.E.S. Raghavan, T.... Stochastic and Differential Games - Theory and Numerical Methods (Hardcover, 1999 ed.)
Martino Bardi, T.E.S. Raghavan, T. Parthasarathy
R3,103 Discovery Miles 31 030 Ships in 10 - 15 working days

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.

Stochastic Games And Related Topics - In Honor of Professor L. S. Shapley (Hardcover, 1991 ed.): T.E.S. Raghaven, Thomas S.... Stochastic Games And Related Topics - In Honor of Professor L. S. Shapley (Hardcover, 1991 ed.)
T.E.S. Raghaven, Thomas S. Ferguson, T. Parthasarathy, O.J. Vrieze
R4,491 Discovery Miles 44 910 Ships in 10 - 15 working days
Game Theoretical Applications to Economics and Operations Research (Hardcover, 1997 ed.): T. Parthasarathy, B. Dutta, J.A.M.... Game Theoretical Applications to Economics and Operations Research (Hardcover, 1997 ed.)
T. Parthasarathy, B. Dutta, J.A.M. Potters, T.E.S. Raghaven, D. Ray, …
R4,530 Discovery Miles 45 300 Ships in 10 - 15 working days

Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR related problems. It brings together the contributions of a wide spectrum of disciplines such as Statistics, Mathematics, Mathematical Economics and OR. The contributions include decision theory, stochastic games, cooperative and noncooperative games. The papers in the volume are classified under five different sections. The first four sections are devoted to the theory of two-person games, linear complimentarity problems and game theory, cooperative and noncooperative games. The fifth section contains diverse applications of these various theories. Taken together they exhibit a rich versatility of these theories and lively interaction between the mathematical theory of games and significant economic problems.

Stochastic and Differential Games - Theory and Numerical Methods (Paperback, Softcover reprint of the original 1st ed. 1999):... Stochastic and Differential Games - Theory and Numerical Methods (Paperback, Softcover reprint of the original 1st ed. 1999)
Martino Bardi, T.E.S. Raghavan, T. Parthasarathy
R2,904 Discovery Miles 29 040 Ships in 10 - 15 working days

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.

Stochastic Games And Related Topics - In Honor of Professor L. S. Shapley (Paperback, Softcover reprint of the original 1st ed.... Stochastic Games And Related Topics - In Honor of Professor L. S. Shapley (Paperback, Softcover reprint of the original 1st ed. 1991)
T.E.S. Raghaven, Thomas S. Ferguson, T. Parthasarathy, O.J. Vrieze
R4,335 Discovery Miles 43 350 Ships in 10 - 15 working days
Game Theoretical Applications to Economics and Operations Research (Paperback, Softcover reprint of hardcover 1st ed. 1997): T.... Game Theoretical Applications to Economics and Operations Research (Paperback, Softcover reprint of hardcover 1st ed. 1997)
T. Parthasarathy, B. Dutta, J.A.M. Potters, T.E.S. Raghaven, D. Ray, …
R4,382 Discovery Miles 43 820 Ships in 10 - 15 working days

Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR related problems. It brings together the contributions of a wide spectrum of disciplines such as Statistics, Mathematics, Mathematical Economics and OR. The contributions include decision theory, stochastic games, cooperative and noncooperative games. The papers in the volume are classified under five different sections. The first four sections are devoted to the theory of two-person games, linear complimentarity problems and game theory, cooperative and noncooperative games. The fifth section contains diverse applications of these various theories. Taken together they exhibit a rich versatility of these theories and lively interaction between the mathematical theory of games and significant economic problems.

On Global Univalence Theorems (Paperback, 1983 ed.): T. Parthasarathy On Global Univalence Theorems (Paperback, 1983 ed.)
T. Parthasarathy
R1,152 Discovery Miles 11 520 Ships in 10 - 15 working days
Selection Theorems and Their Applications (Paperback, 1972 ed.): T. Parthasarathy Selection Theorems and Their Applications (Paperback, 1972 ed.)
T. Parthasarathy
R1,139 Discovery Miles 11 390 Ships in 10 - 15 working days
Mathematical Programming And Game Theory For Decision Making (Hardcover): S. K. Neogy, Ravindra B. Bapat, A.K. Das, T.... Mathematical Programming And Game Theory For Decision Making (Hardcover)
S. K. Neogy, Ravindra B. Bapat, A.K. Das, T. Parthasarathy
R7,016 Discovery Miles 70 160 Ships in 12 - 19 working days

This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications.

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