Geometry, Language and Strategy.
Title:
Geometry, Language and Strategy.
Author:
Thomas, Gerald H.
ISBN:
9789812774477
Personal Author:
Physical Description:
1 online resource (256 pages)
Series:
Series on Knots and Everything ; v.37
Series on Knots and Everything
Contents:
Contents -- Foreword -- Preface -- 1. Introduction -- 1.1 Geometry of Economic Games -- 1.2 Market Fluid -- 1.3 Thermodynamics of Games -- 1.4 Rules of the Game -- 1.5 Economic Justification -- 1.6 Dynamic Games -- 1.7 Nature of Time -- 1.8 Outline -- 2. Rules-of-the-Game -- 2.1 Games are Covariant -- 2.2 General Attributes of the Game Matrix -- 2.3 Geodesies -- 2.4 Games are Locally Flat -- 2.5 Dynamic Game Theory Hypothesis -- 3. Flow of Strategic-Mass -- 3.1 Local versus Global -- 3.2 The Connection -- 3.3 Curvature -- 3.4 Geometry Specified by Sources -- 4. Game Symmetries -- 4.1 Earth's Symmetries -- 4.2 Active and Inactive Choices -- 4.3 Covariance or Isometry -- 4.4 Dynamic Theory of Games -- 4.5 Time Isometry -- 5. Analysis -- 5.1 Reference Frames -- 5.2 Two-Person Zero-Sum Fair Game -- 5.3 Central Frame Models -- 5.4 Basic Behavior -- 6. Graphical Presentation -- 6.1 Fair Games -- 6.1.1 No gravity or pressure -- 6.1.2 Gravity -- 6.1.3 Pressure -- 6.1.4 Single strategy model -- 6.2 Value Games -- 6.2.1 No gravity or pressure -- 6.2.2 Gravity -- 6.2.3 Pressure -- 6.3 Three-Person Game -- 6.4 Observations -- 7. Applications and Open Problems -- 7.1 Organizational Dynamics -- 7.2 Reorganization Cycles -- 7.3 What is a Player? -- 7.4 Flat Games -- 7.5 Three-Person and Higher Games -- 7.6 Non-Zero Sum Games -- 7.7 Viscous Games -- 7.8 Quantum Games -- 7.9 Complete Solutions -- Appendix A Thermodynamics -- Appendix B Symmetry in Differential Geometry -- B.1 Metric Symmetry Group -- B.2 Active and Inactive Geometries -- Appendix C Central Strategies -- Appendix D Single Strategy Model -- D.1 Solution -- D.2 Scalar Properties -- D.3 Thermal Properties -- D.4 Extensions to Perfect Fluid -- Appendix E Single Strategy Numerical Solutions -- E.1 Fair Game Initial Conditions.
E.2 Fair Game Single Strategy Model -- Appendix F Streamlines -- F.1 General Treatment -- F.2 Fermi Derivative -- F.3 Deviation using Fermi Derivatives -- F.4 Evolution Matrix -- F.5 Expansion Compression and Vorticity -- Appendix G Player Fluid -- Bibliography -- Index.
Abstract:
Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece. The book begins where former game theory literature ends - with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality. Sample Chapter(s). Chapter 1: Introduction (1,364 KB). Contents: Rules-of-the-Game; Flow of Strategic-Mass; Game Symmetries; Analysis; Graphical Presentation; Applications and Open Problems; Appendices: Thermodynamics; Symmetry in Differential Geometry; Central Strategies; Single Strategy Model; Single Strategy Numerical Solutions; Streamlines; Player Fluid. Readership: Mathematicians and scientists who wish to broaden their understanding of economic possibilities using game theory.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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