Matrix Games, Programming, and Mathematical Economics. Mathematical Methods and Theory in Games, Programming, and Economics

✍ Scribed by Samuel Karlin and Z. W. Birnbaum (Auth.)

• Publisher: Elsevier Inc
• Year: 1959
• Tongue: English
• Leaves: 427
• Category: Library

✦ Table of Contents

Content:
Front Matter, Pages ii-iii
Copyright, Page iv
PREFACE, Pages v-vi
INTRODUCTION: THE NATURE OF THE MATHEMATICAL THEORY OF DECISION PROCESSES, Pages 1-11
CHAPTER 1 - THE DEFINITION OF A GAME AND THE MIN-MAX THEOREM, Pages 15-35
CHAPTER 2 - THE NATURE OF OPTIMAL STRATEGIES FOR MATRIX GAMES, Pages 36-62
CHAPTER 3 - DIMENSION RELATIONS FOR SETS OF OPTIMAL STRATEGIES, Pages 63-81
CHAPTER 4 - SOLUTIONS OF SOME DISCRETE GAMES, Pages 82-109
CHAPTER 5 - LINEAR PROGRAMMING, Pages 113-158
CHAPTER 6 - COMPUTATIONAL METHODS FOR LINEAR PROGRAMMING AND GAME THEORY, Pages 159-198
CHAPTER 7 - NONLINEAR PROGRAMMING, Pages 199-242
CHAPTER 8 - MATHEMATICAL METHODS IN THE STUDY OF ECONOMIC MODELS, Pages 243-291
CHAPTER 9 - MATHEMATICAL METHODS IN THE STUDY OF ECONOMIC MODELS (Continued), Pages 292-348
SOLUTIONS TO PROBLEMS OF CHAPTERS 5–9, Pages 349-359
INTRODUCTION TO APPENDIXES, Page 361
APPENDIX A - VECTOR SPACES AND MATRICES, Pages 362-396
APPENDIX B - CONVEX SETS AND CONVEX FUNCTIONS, Pages 397-406
APPENDIX C - MISCELLANEOUS TOPICS, Pages 407-413
BIBLIOGRAPHY, Pages 415-427
INDEX, Pages 431-433