Problems & Tools
Solve, check, and explore
Solved problems, exercises to attempt unaided, and interactive tools. Attempt before you read — the struggle is the point.
- Solved problem · Intermediate
Competitive Equilibrium in an Exchange Economy
Find the competitive equilibrium of a two-person Cobb–Douglas exchange economy, and verify the First Welfare Theorem directly.
general equilibrium · Edgeworth box Open → - Interactive tool · Intermediate
Convex Preferences Visualiser
An interactive tool — Four utility functions; interior tangencies, kinks, and corners under both utility maximisation and expenditure minimisation.
consumer theory · quasi-concave utility Open → - Exercise · Intermediate
Demand with Quasilinear Preferences
An exercise on quasilinear utility — derive demand, find where the interior solution breaks down, and interpret the corner.
consumer theory · quasilinear preferences Open → - Solved problem · Beginner
Deriving Demand from Cobb–Douglas Preferences
A complete derivation of Marshallian demand for Cobb–Douglas utility.
consumer theory · demand Open →