Geometry, language, and strategy:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2006
|
| Schriftenreihe: | Series on knots and everything
v. 37 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | 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
|
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| id | DE-604.BV021679722 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:39:14Z |
| institution | BVB |
| isbn | 9812566171 |
| language | English |
| lccn | 2005057872 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014893963 |
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| owner_facet | DE-703 DE-11 |
| physical | XI, 240 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on knots and everything |
| series2 | Series on knots and everything |
| 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_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 |
| volume_link | (DE-604)BV004608347 |
| work_keys_str_mv | AT thomasgeraldh geometrylanguageandstrategy |