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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.
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.
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.
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.
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Strigolactone (Paperback)
T Parthasarathi, K Vanitha, D. Kalaiyarasi
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R1,297
Discovery Miles 12 970
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Ships in 10 - 15 working days
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Strigolactones (SLs) are a class of sesquiterpene lactones are
derived from carotenoids and contain a large four ring backbone.
Biosynthesis occurs mainly in roots and isolated from roots of a
variety of plant species. SLs have three distinct biological
activities: Induction of seed germination of root parasitic seeds,
induction of hyphal branching of Arbascular Mycorrhizal (AM) fungi
and inhibition of shoot branching in plants.
This set of lecture notes is based on a series of ten lectures
given by Professor T. Parthasarathy at Chennai Mathematical
Institute. Topics in matrix and bimatrix games, stochastic games
(finite, infinite, and undiscounted stochastic games) and
cooperative games are covered. The topics include minimax theorem
on unit square, a square root game, orderfield property, classes of
stochastic games and product solutions for simple games. Most of
the work discussed/covered in this set of lectures include those
done by Parthasarathy and his collaborators. It is next to
impossible to cover all the results related to stochastic games and
other topics for lack of time and space. However enough references
are given so that interested readers can consult them.
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