Adaptive processes in economic systems
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York
Academic Press
1965, 1965
|
| Series: | Mathematics in science and engineering
|
| Subjects: | |
| Online Access: | |
| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- Front Cover; Adaptive Processes in Economic Systems; Copyright Page; Contents; Preface; CHAPTER 1 Introduction; 1.1 The Historical and Current Development of Adaptive Theory; 1.2 Common Properties of Adaptive Processes; References; CHAPTER 2 The Mathematical Model; 2.1 Introduction; 2.2 Discrete Processes; 2.3 Some Discrete Sequential Processes; 2.4 The Role of the Decision Maker; 2.5 The Optimal Type 2 (Adaptive) Process; 2.6 The Constrained, Optimal Type 2 (Adaptive) Process; 2.7 Causality and Markov Processes; 2.8 The Dynamic Programming Model; References
- CHAPTER 5 The Role of Entropy in Economic Processes5.1 The Concept of Entropy Time; 5.2Entropy and Information; 5.3The Entropy Paradox; References; CHAPTER 6 Adaptive Economic Processes; 6.1Introduction; 6.2General Deterministic Dynamic Economic Process; 6.3The Stochastic DynamicEconomic Process; 6.4The Adaptive Stochastic DynamicEconomic Process; 6.5Stochastic Growth Process; CHAPTER 7 An Adaptive Investment Model; 7.1The Objective Function; 7.2 An Example-The Three Investors Again; 7.3An Investment Model with Full Liquidity; 7.4An Adaptive Investment Process withFullLiquidity
- 7.5Consideration of the Special Constraint7.6The Multivalued Payoff AdaptiveInvestmentProcess; References; CHAPTER 8 Multiactivity Capital Allocation Processes; 8.1Introduction; 8.2The Adaptive Capital Allocation Process; 8.3The Properties of the Adaptive CapitalAllocationProcess in the Limit; References; CHAPTER 9 Economic State Space; 9.1Introduction; 9.2The Concept of an Economic State Space; 9.3Statistical Equilibrium and Enlightenment; 9.4The Subjective Entropy Trajectory; 9.5The Dynamics of the SubjectiveEntropyTrajectory; 9.6The Economic State Space Representation
- 9.7 A Digression-A Likely Value for the Environmental EntropyReferences; CHAPTER 10 Interactions between Decision Makers in State Space; 10.1 Introduction; 10.2 The State Space Probability Function; 10.3 Stochastic Equilibrium in the Market; 10.4 Interperson Trading in the Investment Market; CHAPTER 11 The Conclusions; 11.1 Individual Adaptive Behavior; 11.2 Collective Adaptive Behavior; Bibliography; 1. General Background on Adaptive and Evolutionary Behavior; 2. Sources on the Concept of Subjective Probability; 3. Sources on the Mathematical Theory of Intelligence
- CHAPTER 3 The Primitive Adaptive Process3.1 The Notion of Learning and Adaptation; 3.2 Some Hypothetical Experiments; 3.3 An Adaptive Process of the First Kind; 3.4 An Adaptive Process of the Second Kind; 3.5 Mixed Adaptive Processes of the First and Second Kind; 3.6 Summary; References; CHAPTER 4 Subjective Probability; 4.1 Introduction; 4.2 A Heuristic Example-The Three Investors; 4.3 Economic Environmental Processes; 4.4 A Digression on Statistical Estimators; 4.5 Multinomial Subjective Probabilities; 4.6Properties of the Subjective Probability Vector; References
- Includes bibliographical references