Geometry, language, and strategy:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2006
|
| Schriftenreihe: | Series on knots and everything
v. 37 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XI, 240 S. graph. Darst. |
| ISBN: | 9812566171 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Geometry, language and strategy
Autor: Thomas, Gerald H
Jahr: 2006
Contents Foreword v Preface vii 1. Introduction ............................ 1 1.1 Geometry of Economic Games............................................. 3 1.2 Market Fluid................................................................... 8 1.3 Thermodynamics of Games................................................. 12 1.4 Rules of the Game............................................................ 14 1.5 Economic Justification...................................................... 19 1.6 Dynamic Games.............................................................. 26 1.7 Nature of Time................................................................ 30 1.8 Outline......................................................................... 31 2. Rules-of-the-Game................................................................ 33 2.1 Games are Covariant......................................................... 34 2.2 General Attributes of the Game Matrix................................... 36
2.3 Geodesics..................................................................... 38 2.4 Games are Locally Flat...................................................... 42 2.5 Dynamic Game Theory Hypothesis....................................... 45 3. Flow of Strategic-Mass.................................................... 47 3.1 Local versus Global................................. 47 3.2 The Connection............................................................... 52 3.3 Curvature...................................................................... 56 3.4 Geometry Specified by Sources............................................ 58 4. Game Symmetries................................................................. 65 4.1 Earth’s Symmetries.......................................................... 65 4.2 Active and Inactive Choices................................................ 69 4.3 Covariance or Isometry...................................................... 70 ix
x Geometry, Language, and Strategy 4.4 Dynamic Theory of Games................................................. 71 4.5 Time Isometry................................................................ 74 5. Analysis............................................................................. 77 5.1 Reference Frames............................................................ 78 5.2 Two-Person Zero-Sum Fair Game......................................... 81 5.3 Central Frame Models....................................................... 85 5.4 Basic Behavior............................................................... 89 6. Graphical Presentation............................................................ 96 6.1 Fair Games.................................................................... 99 6.1.1 No gravity or pressure................................................ 99 6.1.2 Gravity.................................................................. 102 6.1.3 Pressure.................................................................
109 6.1.4 Single strategy model................................................. 112 6.2 Value Games.................................................................. 117 6.2.1 No gravity or pressure............................................118 6.2.2 Gravity.................................................................. 122 6.2.3 Pressure................................................................ 131 6.3 Three-Person Game.......................................................... 136 6.4 Observations.................................................................. 140 7. Applications and Open Problems................................................ 143 7.1 Organizational Dynamics.................................................... 143 7.2 Reorganization Cycles...................................................... 146 7.3 What is a Player?............................................................. 149 7.4 Flat Games....................................................................
151 7.5 Three-Person and Higher Games.......................................... 152 7.6 Non-Zero Sum Games....................................................... 153 7.7 Viscous Games............................................................... 153 7.8 Quantum Games.............................................................. 154 7.9 Complete Solutions.......................................................... 155 Appendix A Thermodynamics...................................................... 157 Appendix B Symmetry in Differential Geometry................................ 165 B.l Metric Symmetry Group.................................................... 167 B.2 Active and Inactive Geometries........................................... 168 Appendix C Central Strategies 171
Contents xi Appendix D Single Strategy Model................................................ 177 D.l Solution....................................................................... 178 D.2 Scalar Properties............................................................ 186 D.3 Thermal Properties.......................................................... 188 D. 4 Extensions to Perfect Fluid................................................ 192 Appendix E Single Strategy Numerical Solutions............................... 202 E. 1 Fair Game Initial Conditions............................................... 203 E. 2 Fair Game Single Strategy Model......................................... 208 Appendix F Streamlines............................................................. 215 F. l General Treatment........................................................... 216 F.2 Fermi Derivative............................................................. 219 F.3 Deviation using Fermi Derivatives........................................ 220 F.4 Evolution Matrix............................................................. 221 F.5 Expansion Compression and Vorticity.................................... 223 Appendix G Player Fluid............................................................ 226 Bibliography........................................................................... 233 Index.................................................................................... 237
|
| adam_txt |
Titel: Geometry, language and strategy
Autor: Thomas, Gerald H
Jahr: 2006
Contents Foreword v Preface vii 1. Introduction . 1 1.1 Geometry of Economic Games. 3 1.2 Market Fluid. 8 1.3 Thermodynamics of Games. 12 1.4 Rules of the Game. 14 1.5 Economic Justification. 19 1.6 Dynamic Games. 26 1.7 Nature of Time. 30 1.8 Outline. 31 2. Rules-of-the-Game. 33 2.1 Games are Covariant. 34 2.2 General Attributes of the Game Matrix. 36
2.3 Geodesics. 38 2.4 Games are Locally Flat. 42 2.5 Dynamic Game Theory Hypothesis. 45 3. Flow of Strategic-Mass. 47 3.1 Local versus Global. 47 3.2 The Connection. 52 3.3 Curvature. 56 3.4 Geometry Specified by Sources. 58 4. Game Symmetries. 65 4.1 Earth’s Symmetries. 65 4.2 Active and Inactive Choices. 69 4.3 Covariance or Isometry. 70 ix
x Geometry, Language, and Strategy 4.4 Dynamic Theory of Games. 71 4.5 Time Isometry. 74 5. Analysis. 77 5.1 Reference Frames. 78 5.2 Two-Person Zero-Sum Fair Game. 81 5.3 Central Frame Models. 85 5.4 Basic Behavior. 89 6. Graphical Presentation. 96 6.1 Fair Games. 99 6.1.1 No gravity or pressure. 99 6.1.2 Gravity. 102 6.1.3 Pressure.
109 6.1.4 Single strategy model. 112 6.2 Value Games. 117 6.2.1 No gravity or pressure.118 6.2.2 Gravity. 122 6.2.3 Pressure. 131 6.3 Three-Person Game. 136 6.4 Observations. 140 7. Applications and Open Problems. 143 7.1 Organizational Dynamics. 143 7.2 Reorganization Cycles. 146 7.3 What is a Player?. 149 7.4 Flat Games.
151 7.5 Three-Person and Higher Games. 152 7.6 Non-Zero Sum Games. 153 7.7 Viscous Games. 153 7.8 Quantum Games. 154 7.9 Complete Solutions. 155 Appendix A Thermodynamics. 157 Appendix B Symmetry in Differential Geometry. 165 B.l Metric Symmetry Group. 167 B.2 Active and Inactive Geometries. 168 Appendix C Central Strategies 171
Contents xi Appendix D Single Strategy Model. 177 D.l Solution. 178 D.2 Scalar Properties. 186 D.3 Thermal Properties. 188 D. 4 Extensions to Perfect Fluid. 192 Appendix E Single Strategy Numerical Solutions. 202 E. 1 Fair Game Initial Conditions. 203 E. 2 Fair Game Single Strategy Model. 208 Appendix F Streamlines. 215 F. l General Treatment. 216 F.2 Fermi Derivative. 219 F.3 Deviation using Fermi Derivatives. 220 F.4 Evolution Matrix. 221 F.5 Expansion Compression and Vorticity. 223 Appendix G Player Fluid. 226 Bibliography. 233 Index. 237 |
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| id | DE-604.BV021679722 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:10:59Z |
| indexdate | 2024-07-09T20:41:29Z |
| institution | BVB |
| isbn | 9812566171 |
| language | English |
| lccn | 2005057872 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014893963 |
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| physical | XI, 240 S. graph. Darst. |
| publishDate | 2006 |
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| publisher | World Scientific |
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| series | Series on knots and everything |
| series2 | Series on knots and everything |
| spelling | Thomas, Gerald H. 1942- Verfasser (DE-588)139347801 aut Geometry, language, and strategy Gerald H. Thomas New Jersey [u.a.] World Scientific 2006 XI, 240 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on knots and everything v. 37 Includes bibliographical references and index Game theory Statistical decision Management science Spieltheorie (DE-588)4056243-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Series on knots and everything v. 37 (DE-604)BV004608347 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014893963&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thomas, Gerald H. 1942- Geometry, language, and strategy Series on knots and everything Game theory Statistical decision Management science Spieltheorie (DE-588)4056243-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4012248-7 |
| title | Geometry, language, and strategy |
| title_auth | Geometry, language, and strategy |
| title_exact_search | Geometry, language, and strategy |
| title_exact_search_txtP | Geometry, language, and strategy |
| title_full | Geometry, language, and strategy Gerald H. Thomas |
| title_fullStr | Geometry, language, and strategy Gerald H. Thomas |
| title_full_unstemmed | Geometry, language, and strategy Gerald H. Thomas |
| title_short | Geometry, language, and strategy |
| title_sort | geometry language and strategy |
| topic | Game theory Statistical decision Management science Spieltheorie (DE-588)4056243-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Game theory Statistical decision Management science Spieltheorie Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014893963&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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