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Pivoting and Extensions
Lower bounds for maximum diameters of polytopes; Maximum diameter of abstract polytopes; Existence of A-avoinding paths in abstract polytopes; On two special classes of transportation polytopes; Solution rays for a class of complementarity problems; Fourier's analysis of linear inequality systems; Solving piecewise linear convex equations; On balanced matrices; Derivation of a bound for error-correcting codes using pivoting techniques; A new proof of the fundamental theorem of algebra; Pivotal theory of determinants; A note of the Lemke-Howson method; Algorithm for a least-distance programming problem.
Linear Programs and Related Problems
This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.
Advances in Game Theory. (AM-52), Volume 52
The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.
Contributions to the Theory of Games (AM-24), Volume I
The description for this book, Contributions to the Theory of Games (AM-24), Volume I, will be forthcoming.
Albert Tucker
None
Linear Inequalities and Related Systems. (AM-38), Volume 38
The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.
Contributions to the Theory of Games (AM-40), Volume IV
The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.
Moral Calculations
What does game theory tell us about rational behavior? Is there such a thing as rational behavior, and if so, is it of any use to us? In this fascinating book, renowned Hungarian economist Laszlo Mero shows how game theory provides insight into such aspects of human psychology as altruism, competition, and politics, as well as its relevance to disparate fields such as physics and evolutionary biology. This ideal guide shows us how mathematics can illuminate the human condition.
