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Book Categories |
1 | Economy and Complex Systems | 1 |
1.1 | What Is a Complex System? | 1 |
1.2 | Determinism Versus Chaos | 4 |
1.3 | The Probability Distribution | 7 |
1.4 | The Liouville Equation | 9 |
1.5 | Econophysics | 10 |
2 | Evolution and Probabilistic Concepts | 13 |
2.1 | Some Notations of Probability Theory | 13 |
2.2 | Generalized Rate Equations | 18 |
2.3 | Combined Probabilities | 24 |
2.4 | Markov Approximation | 26 |
2.5 | Generalized Fokker Planck Equation | 28 |
2.6 | Correlation and Stationarity | 35 |
2.7 | Stochastic Equations of Motion | 38 |
3 | Financial Markets | 49 |
3.1 | Introduction | 49 |
3.2 | Empirical Analysis | 55 |
3.3 | Long-Time Regime | 67 |
3.4 | Standard Problems of Finance | 80 |
3.5 | Short-Time Regime | 95 |
3.6 | Large Fluctuations | 108 |
3.7 | Memory Effects | 126 |
4 | Economic Systems | 157 |
4.1 | The Task of Economics | 157 |
4.2 | Microeconomics | 165 |
4.3 | Thermodynamics and Economy | 174 |
4.4 | Macroeconomics | 181 |
5 | Computer Simulations | 195 |
5.1 | Models and Simulations | 195 |
5.2 | Monte Carlo Simulations | 197 |
5.3 | Cellular Automata | 204 |
6 | Forecasting | 207 |
6.1 | Regression and Autoregression | 207 |
6.2 | The Bayesian Concept | 210 |
6.3 | Neural Networks | 213 |
References | 227 | |
Index | 241 |
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