Adaptive Learning by Genetic Algorithms Analytical Results and Applications to Economical Models
I started to deal with genetic algorithms in 1993 when I was working on a project on learning and rational behavior in economic systems. Initially I carried out simulations in an overlapping generations model but soon got dissatisfied with the complete lack of theoretical foundation for the observed...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1996, 1996
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| Edition: | 1st ed. 1996 |
| Series: | Lecture Notes in Economics and Mathematical Systems
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Bounded Rationality and Artificial Intelligence
- 2.1 Bounded Rationality in Economics
- 2.2 Artificially Intelligent Agents in Economic Systems
- 2.3 Learning Techniques of Artificially Intelligent Agents
- 2.4 Some Applications of CI Methods in Economic Systems
- 2.5 Potentiality and Problems of CI Techniques in Economics
- 3. Genetic Algorithms
- 3.1 What are Genetic Algorithms?
- 3.2 The Structure of Genetic Algorithms
- 3.3 Genetic Operators
- 3.4 Genetic Algorithms with a Non-Standard Structure
- 3.5 Economic Interpretation of Genetic Learning
- 3.6 Some Analytical Approaches to Model Genetic Algorithms
- 4 Genetic Algorithms with a State Dependent Fitness Function
- 4.1 State Dependency in Economic Systems
- 4.2 A Markov Model for Systems with a State Dependent Fitness Function
- 4.3 The Difference Equations Describing the GA
- 4.4 Deviation from the Markov Process
- 4.5 A Numerical Example
- 4.6 Stability of the Uniform States
- 4.7 Two-Population Models
- 5 Genetic Learning in Evolutionary Games
- 5.1 Equilibria and Evolutionary Stability
- 5.2 Learning in Evolutionary Games
- 5.3 Learning by a Simple Genetic Algorithm
- 5.4 Two-Population Contests
- 6 Simulations with Genetic Algorithms in Economic Systems
- 6.1 A Model of a Competitive Market
- 6.2 An Overlapping Generations Model with Fiat Money
- 7 Stability and Encoding
- 7.1 The Cobweb Example Revisited
- 7.2 Impact of a Change in Encoding and Scaling
- 7.3 A Method for Finding Economic Equilibria
- 8 Conclusions
- A. Basic Definitions and Results Used
- A.1 Time Homogeneous Markov Chains
- A.2 Nonlinear Difference Equations and Stability
- B. Calculation of the Equilibria of the Evolutionary Games in Chapter 5
- B.1 Rock-Scissor-Paper Games
- B.2 The GA Deceptive Game GAD
- B.3 The Games G1 and G2
- References
- List of Figures
- List of Tables