Econschool
Econschool

Economics and its mathematics.

Lectures, courses, and solved problems in the mathematics, statistics, and economics that serious study requires. Built as a lasting resource for students, free to learn from.

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O₁ O₂ x₁ y₁ x₂ y₂ ω a* u₁ u₂
Color is notation on this site: person 1, person 2, the Pareto set, endowment and equilibrium — the same conventions across every diagram.

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From the problem library

Cobb–Douglas demand:

xd(px,py,M)=αMpx,yd(px,py,M)=(1−α) Mpyx^d(p_x, p_y, M) = \frac{\alpha M}{p_x}, \qquad y^d(p_x, p_y, M) = \frac{(1-\alpha)\, M}{p_y}

Constant expenditure shares, regardless of prices — the signature of Cobb–Douglas preferences. See the full derivation →

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