The Theory of Infinite Games. Mathematical Methods and Theory in Games, Programming, and Economics

Content: Front Matter, Pages ii-iii Copyright, Page iv NOTE TO THE READER, Page v LOGICAL INTERDEPENDENCE OF THE VARIOUS CHAPTERS, Page v NOTATION, Pages x-xi CHAPTER 1 - THE DEFINITION OF A GAME AND THE MIN-MAX THEOREM, Pages 1-21 CHAPTER 2 - THE NATURE AND STRUCTURE OF INFINITE GAMES, Pages 22-47 CHAPTER 3 - SEPARABLE AND POLYNOMIAL GAMES, Pages 48-79 CHAPTER 4 - GAMES WITH CONVEX KERNELS AND GENERALIZED CONVEX KERNELS, Pages 80-100 CHAPTER 5 - GAMES OF TIMING OF ONE ACTION FOR EACH PLAYER, Pages 101-144 CHAPTER 6 - GAMES OF TIMING: Continued, Pages 145-174 CHAPTER 7 - MISCELLANEOUS GAMES, Pages 175-205 CHAPTER 8 - INFINITE CLASSICAL GAMES NOT PLAYED OVER THE UNIT SQUARE, Pages 206-237 CHAPTER 9 - POKER AND GENERAL PARLOR GAMES, Pages 238-278 SOLUTIONS TO PROBLEMS, Pages 279-318 INTRODUCTION TO APPENDIXES, Page 319 APPENDIX A - VECTOR SPACES AND MATRICES, Pages 320-354 APPENDIX B - CONVEX SETS AND CONVEX FUNCTIONS, Pages 355-364 APPENDIX C - MISCELLANEOUS TOPICS, Pages 365-370 BIBLIOGRAPHY, Pages 371-383 INDEX, Pages 385-386