The Compleat Strategyst

Author: J. D. Williams
Publisher: Courier Corporation
ISBN: 0486136841
Format: PDF, ePub
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Only a basic understanding of arithmetic is needed to grasp these strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.

Game Theory

Author: Morton D. Davis
Publisher: Courier Corporation
ISBN: 9780486296722
Format: PDF, ePub, Docs
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This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.

Games and Decisions

Author: R. Duncan Luce
Publisher: Courier Corporation
ISBN: 0486134830
Format: PDF, ePub
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Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

The Mathematics of Games of Strategy

Author: Melvin Dresher
Publisher: Courier Corporation
ISBN: 0486150062
Format: PDF, Kindle
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This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.

Two Person Game Theory

Author: Anatol Rapoport
Publisher: Courier Corporation
ISBN: 0486281094
Format: PDF, ePub, Docs
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Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.

Fundamentals of Scientific Mathematics

Author: George E. Owen
Publisher: Courier Corporation
ISBN: 9780486428086
Format: PDF, Mobi
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Rewarding undergraduate text, derived from an experimental program in teaching mathematics at the secondary-school level. This text provides a good introduction to geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. "...solid modern mathematical content..." — American Scientist. Over 200 figures. 1964 edition.

A Survey of Finite Mathematics

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 9780486675534
Format: PDF, ePub, Mobi
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Outstanding undergraduate text, suitable for non-mathematics majors, introduces fundamentals of linear algebra and theory of convex sets. Includes 150 worked examples and over 1,200 exercises. Answers to selected exercises. Bibliography. 1969 edition.

Theory of Heat

Author: James Clerk Maxwell
Publisher: Courier Corporation
ISBN: 9780486417356
Format: PDF, ePub, Docs
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Thisnbsp;classic sets forth the fundamentals of thermodynamics clearly and simply enough to be understood by a beginning student, yet with enough subtlety and depth of thought to appeal also to more advanced readers. It elucidates fundamentals of kinetic theory and illustrates the Second Law of Thermodynamicsnbsp;withnbsp;"Maxwell’s demon."

The Book on Games of Chance

Author: Gerolamo Cardano
Publisher: Courier Dover Publications
ISBN: 048680898X
Format: PDF, Kindle
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Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the better-known correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets.

Game Theory Alive

Author: Anna R. Karlin
Publisher: American Mathematical Soc.
ISBN: 1470419823
Format: PDF, Mobi
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We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.