Handbook of Mathematical Economics Volume 2 1st Edition by Michael Intriligator, Kenneth Arrow ISBN 0444861270 9780444861276

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Product details:
ISBN 10: 0444861270
ISBN 13: 9780444861276
Author: Michael Intriligator, Kenneth Arrow

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970’s the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.

Handbook of Mathematical Economics Volume 2 1st Edition Table of contents:

Part I: Advanced General Equilibrium and Welfare Economics

1. Advanced General Equilibrium Theory

   • Existence and Uniqueness of Equilibrium in Complex Systems
   • General Equilibrium with Multiple Markets
   • Dynamic General Equilibrium Models
   • Computational Techniques for General Equilibrium

2. Welfare Economics and Social Choice

   • Arrow’s Impossibility Theorem
   • Social Welfare Functions and their Properties
   • Criteria for Welfare Comparisons and Public Policy
   • Fairness and Equity in Welfare Economics

3. Intertemporal Choice and Economic Welfare

   • Discounting and Time Preference
   • Intergenerational Welfare Comparisons
   • The Role of Uncertainty in Welfare Analysis

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Part II: Dynamic Models and Economic Growth

4. Economic Growth Models

   • Solow-Swan Growth Model
   • Endogenous Growth Models
   • The Role of Human Capital and Technological Change
   • Models of Economic Convergence and Divergence

5. Dynamic Optimization and Growth Theory

   • Optimal Growth Models
   • The Ramsey-Cass-Koopmans Model
   • Recursive Methods and Value Function Approximations
   • Overlapping Generations Models

6. The Dynamics of Capital Accumulation

   • Capital Accumulation in the Solow Model
   • Investment, Savings, and Depreciation
   • Models of Endogenous Capital Formation
   • Models of the Capital-Labor Ratio

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Part III: Advanced Game Theory and Strategic Interactions

7. Repeated Games and Long-Term Strategic Behavior

   • Repeated Games with Discounting
   • Folk Theorems and Cooperation in Repeated Games
   • Reputation and Trust in Repeated Interactions

8. Evolutionary Game Theory

   • Evolutionary Stable Strategies
   • Models of Natural Selection and Strategic Behavior
   • The Prisoner’s Dilemma and Cooperation in Evolutionary Games

9. Games with Incomplete Information

   • Bayesian Games and Nash Equilibrium
   • Auctions and Mechanism Design
   • Adverse Selection and Moral Hazard

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Part IV: Mathematical Methods in Economics

10. Dynamic Systems and Stability Analysis

    • Stability in Economic Models: Linear and Nonlinear Approaches
    • Eigenvalue Methods and Stability Conditions
    • Global Stability in Economic Systems
    • Bifurcations and Chaos in Economic Models

11. Stochastic Methods in Economic Modeling

    • Stochastic Differential Equations in Economics
    • Random Walks and Brownian Motion
    • Applications of Stochastic Processes in Finance and Markets
    • Stochastic Optimal Control and Economic Applications

12. Advanced Topics in Mathematical Programming

    • Optimal Control and Dynamic Programming
    • Applications of Optimal Control in Economic Policy
    • Duality and Sensitivity Analysis in Linear Programming
    • Computational Methods for Large-Scale Optimization Problems

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Part V: Applications and Special Topics in Economic Theory

13. Market Design and Mechanism Theory

    • Market Matching and Market Clearing Mechanisms
    • Auction Theory and Mechanisms
    • Price Formation and Market Dynamics
    • Strategic Behavior and Auctions

14. Public Economics: Advanced Topics

    • Taxation and Public Goods Theory
    • Public Choice and Political Economy
    • Optimal Taxation and Redistribution
    • The Economics of Voting and Political Institutions

15. Financial Economics and Asset Pricing

    • Asset Pricing Models: CAPM and APT
    • Arbitrage and Risk Neutral Valuation
    • Financial Market Dynamics and Bubbles
    • The Efficient Market Hypothesis

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