## Foundations of Complex-system Theories: In Economics, Evolutionary Biology, and Statistical PhysicsComplex behavior can occur in any system made up of large numbers of interacting constituents, be they atoms in a solid, cells in a living organism, or consumers in a national economy. Analysis of this behavior often involves making important assumptions and approximations, the exact nature of which vary from subject to subject. Foundations of Complex-system Theories begins with a description of the general features of complexity and then examines a range of important concepts, such as theories of composite systems, collective phenomena, emergent properties, and stochastic processes. Each topic is discussed with reference to the fields of statistical physics, evolutionary biology, and economics, thereby highlighting recurrent themes in the study of complex systems. This detailed yet nontechnical book will appeal to anyone who wants to know more about complex systems and their behavior. It will also be of great interest to specialists studying complexity in the physical, biological, and social sciences. |

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### Contents

Theories of Composite Systems | 39 |

5 Deductive Construction of Small Systems | 46 |

6 Synthetic Microanalysis of Manybody Systems | 54 |

7 Idealizations Approximations Models | 67 |

8 Federal Versus Imperial Unity of Science | 72 |

9 Equilibrium and Optimization | 77 |

Individuals Constituents and Systems | 84 |

11 The Integrity of the Topic of Statistical Mechanics | 92 |

The Temporality of Dynamic Systems | 213 |

27 Processes and Time | 215 |

28 Past Present Future | 223 |

Complexity in the Temporal Dimension | 228 |

30 Stability Instability Bifurcation | 237 |

31 Chaos and Predictability | 242 |

32 Uniting Deterministic and Stochastic Concepts | 248 |

33 The Foundation of Statistical Mechanics | 255 |

12 The Unit of Evolution and the Unit of Selection | 99 |

13 Economic Individuals as Ideal Optimizers | 109 |

Situated Individuals and the Situation | 115 |

15 Single Particles in the Selfconsistent Field | 121 |

16 Price Takers in the Perfectly Competitive Market | 132 |

17 Fitness Adaptedness and the Environment | 140 |

Interacting Individuals and Collective Phenomena | 151 |

19 Collective Excitations and Their Coupling | 155 |

20 Strategic Competition and Industrial Organization | 160 |

21 Population Structure and the Evolution of Altruism | 167 |

Composite Individuals and Emergent Characters | 173 |

23 Selforganization in Phase Transitions | 183 |

24 Adaptive Organization of Biological Systems | 193 |

25 Inflation Unemployment and Their Microexplanations | 203 |

DYNAMICS | 211 |

34 Causality but Not Determinism | 259 |

Stochastic Processes and Their Explanations | 269 |

36 Deterministic and Stochastic Models of Business Cycles | 277 |

37 The Survival of the Fittest or the Luckiest? | 285 |

38 Causality and Randomness in Statistical Mechanics | 291 |

39 Probability but Not Tychism | 299 |

Directionality History Expectation | 313 |

41 Narratives and Theories in Natural History | 323 |

42 Dynamic Optimization Expectation Uncertainty | 334 |

Epilogue | 341 |

Notes | 347 |

379 | |

391 | |

395 | |

### Other editions - View all

Foundations of Complex-system Theories: In Economics, Evolutionary Biology ... Sunny Y. Auyang No preview available - 1998 |

### Common terms and phrases

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