What This Document Is
This is a problem set designed to reinforce key concepts from an introductory economics course, specifically focusing on advanced topics within general equilibrium theory. Developed for students at the University of California, Berkeley (ECON 201B, Spring 2010), it’s a challenging set of exercises intended to deepen understanding beyond the lecture material. The problem set requires a solid foundation in mathematical economics and a willingness to apply theoretical frameworks to complex scenarios.
Why This Document Matters
This resource is ideal for economics students actively engaged in a rigorous general equilibrium course. It’s particularly valuable for those preparing for exams, seeking to solidify their grasp of core principles, or aiming to develop their problem-solving skills in economic modeling. Working through these types of exercises is crucial for building the analytical abilities needed for advanced study and research in economics. If you are encountering difficulties with the course material or want to test your comprehension, this problem set offers a valuable opportunity for self-assessment.
Topics Covered
* Welfare Theorems and Pareto Optimality
* Continuity and Function Properties in Economic Models
* Geometric Representations of Prices and Preferences
* The D-G-K-N Lemma and its Applications
* Excess Demand Functions and Equilibrium Analysis
* Regularity Conditions in Economic Equilibria
* Index Theorems and their Implications
* Analysis of Economic Systems with Modified Conditions
What This Document Provides
* A series of analytical problems designed to test understanding of advanced economic theory.
* Mathematical exercises requiring the application of trigonometric identities and function analysis.
* Conceptual challenges related to the conditions required for the Second Welfare Theorem to hold.
* A framework for exploring the properties of excess demand functions and identifying equilibrium prices.
* Opportunities to apply the D-G-K-N Lemma in a practical context.
* Exercises designed to assess understanding of economic regularity and the Index Theorem.
