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by Kenneth L. Judd, Karl Schmedders
Handbook of Computational Economics
Cover image
Title page
Table of Contents
Copyright
Contributors
Acknowledgments
Introduction to the Series
Introduction for Volume 3 of the Handbook of Computational Economics
Chapter 1. Learning About Learning in Dynamic Economic Models
Abstract
1 Introduction
2 The Framework
3 What We Have Learned
4 What We Hope to Learn
5 Algorithms and Codes
6 A Showcase on Active Learning
7 Learning with Forward Looking Variables
8 Other Applications of Active Learning
9 Summary
References
Chapter 2. On the Numerical Solution of Equilibria in Auction Models with Asymmetries within the Private-Values Paradigm
Abstract
1 Motivation and Introduction
2 Theoretical Model
3 Primer on Relevant Numerical Strategies
4 Previous Research Concerning Numerical Solutions
5 Some Examples
6 Comparisons of Relative Performance and Potential Improvements
7 Summary and Conclusions
Acknowledgments
References
Chapter 3. Analyzing Fiscal Policies in a Heterogeneous-Agent Overlapping-Generations Economy
Abstract
1 Introduction
2 Existing Literature
3 Stylized Model Economy
4 Computational Algorithm
5 Calibration to the US Economy
6 Policy Experiments
7 Concluding Remarks
References
Chapter 4. On Formulating and Solving Portfolio Decision and Asset Pricing Problems
Abstract
1 Introduction
2 Discrete Time Portfolio Decision Making
3 Discrete Time Asset Pricing
4 Continuous Time Portfolio Decision Problem
5 Continuous Time Asset Pricing
6 Conclusion
Acknowledgments
References
Chapter 5. Computational Methods for Derivatives with Early Exercise Features
Abstract
1 General Introduction
2 The Problem Statement—In the Case of Stochastic Volatility and Poisson Jump Dynamics
3 American Call Options Under Jump-Diffusion Processes
4 American Call Options under Jump-Diffusion and Stochastic Volatility Processes
5 Conclusion
References
Chapter 6. Solving and Simulating Models with Heterogeneous Agents and Aggregate Uncertainty
Abstract
1 Introduction
2 Example Economy
3 Algorithms—Overview
4 Models with Nontrivial Market Clearing
5 Approximate Aggregation
6 Simulation with a Continuum of Agents
7 Accuracy
8 Comparison
9 Other Types of Heterogeneity
10 Concluding Comments
Acknowledgments
References
Chapter 7. Numerical Methods for Large-Scale Dynamic Economic Models
Abstract
1 Introduction
2 Literature Review
3 The Chapter at a Glance
4 Nonproduct Approaches to Representing, Approximating, and Interpolating Functions
5 Approximation of Integrals
6 Derivative-Free Optimization Methods
7 Dynamic Programming Methods for High-Dimensional Problems
8 Precomputation Techniques
9 Local (Perturbation) Methods
10 Parallel Computation
11 Numerical Analysis of a High-Dimensional Model
12 Numerical Results for the Multicountry Model
13 Conclusion
Acknowledgments
References
Chapter 8. Advances in Numerical Dynamic Programming and New Applications
Abstract
1 Introduction
2 Theoretical Challenges
3 Numerical Methods for Dynamic Programming
4 Tools from Numerical Analysis
5 Shape-preserving Dynamic Programming
6 Parallelization
7 Dynamic Portfolio Optimization with Transaction Costs
8 Dynamic Stochastic Integration of Climate and Economy
9 Conclusions
Acknowledgments
References
Chapter 9. Analysis of Numerical Errors
Abstract
1 Introduction
2 Dynamic Stochastic Economies
3 Numerical Solution of Simple Markov Equilibria
4 Recursive Methods for Non-optimal Economies
5 Numerical Experiments
6 Concluding Remarks
References
Chapter 10. GPU Computing in Economics
Abstract
1 Introduction
2 Basics of GPGPU Computing
3 A Simple GPGPU Example
4 Example: Value Function Iteration
5 Example: A General Equilibrium Asset Pricing Model with Heterogeneous Beliefs
6 The Road Ahead
7 Conclusion
References
Chapter 11. Computing All Solutions to Polynomial Equations in Economics
Abstract
1 Introduction
2 Gröbner Bases and Polynomial Equations
3 Applying Gröbner Bases to Economic Models
4 All-Solution Homotopy Methods
5 Applying Homotopy Methods
6 Conclusion
Acknowledgments
References
Index
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