eBook - PDF
Mathematical Methods and Theory in Games, Programming, and Economics
Matrix Games, Programming, and Mathematical Economics
- 444 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Mathematical Methods and Theory in Games, Programming, and Economics
Matrix Games, Programming, and Mathematical Economics
About this book
Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.
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Table of contents
- Front Cover
- Matrix Games, Programming, and Mathematical Economics
- Copyright Page
- Table of Contents
- PREFACE
- INTRODUCTION. THE NATURE OF THE MATHEMATICAL THEORY OF DECISION PROCESSES
- PART I: THE THEORY OF MATRIX GAMES
- PART II: LINEAR AND NONLINEAR PROGRAMMING AND MATHEMATICAL ECONOMICS
- APPENDIX A. VECTOR SPACES AND MATRICES
- APPENDIX B. CONVEX SETS AND CONVEX FUNCTIONS
- APPENDIX C. MISCELLANEOUS TOPICS
- BIBLIOGRAPHY
- INDEX
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Yes, you can access Mathematical Methods and Theory in Games, Programming, and Economics by Samuel Karlin, Z. W. Birnbaum in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.