Introduction to Large Truncated Toeplitz Matrices (Universitext)
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Production managed by Laura Carlson; manufacturing supervised by Gail Simon. Morris Preface The mathematical theory of games has as its purpose the analysis of a wide range of competitive situations. For the purposes of developing the theory, all these competitive situations are called games.
The analysis of games has two goals. The second is the more practical goal of being able to advise the players of the game as to the best way to play. The first goal is especially relevant when the game is on a large scale, has many players, and has complicated rules. The economy and international politics are good examples. In the ideal, the pursuit of the second goal would allow us to describe to each player a strategy which guarantees that he or she does as well as possible. As we shall see, this goal is too ambitious.
Often, however, the computation involved in solving the game is impossible to carry out. This is true of chess, for example.
Introduction to Large Truncated Toeplitz Matrices / Edition 1
Even when the game cannot be solved, however, game theory can often help players by yielding hints about how to play better. For example, poker is too difficult to solve, viii Preface but analysis of various forms of simplified poker has cast light on how to play the real thing. This book is intended as a text in a course in game theory at either the advanced undergraduate or graduate level. It is assumed that the students using it already know a little linear algebra and a little about finite probability theory.
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MR 97h Latal a, Rafal. Some estimates of norms of random matrices. MR i Ledoux, Michel. Concentration of measure and logarithmic Sobolev inequalities. MR j M. Ledoux, Michel; Talagrand, Michel.
Probability in Banach spaces. Isoperimetry and processes.
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Springer-Verlag, Berlin, Litvak, A. Pajor, M. Rudelson, and N. Smallest singular value of random matrices and geometry of random polytopes.
Masri, Ibrahim; Tonge, Andrew. Norm estimates for random multilinear Hankel forms. Linear Algebra Appl. MR m A. Massey, S.
ISBN 13: 9780387985701
Miller, and J. Distribution of eigenvalues of real symmetric palindromic Toeplitz matrices and circulant matrices. To appear. Probabilistic and combinatorial methods in analysis. Salem, R. Some properties of trigonometric series whose terms have random signs.
Acta Math. MR 16,b Talagrand, Michel. Concentration of measure and isoperimetric inequalities in product spaces. MR 97h Talagrand, Michel. Majorizing measures: the generic chaining. MR 97k Talagrand, M. Transportation cost for Gaussian and other product measures.
MR 97d Yin, Y. On the limit of the largest eigenvalue of the large-dimensional sample covariance matrix. Theory Related Fields 78 , no.
Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete Universitext. Buy Introduction to Large Truncated Toeplitz Matrices (Universitext) on Amazon. com ✓ FREE SHIPPING on qualified orders.
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