The Mathematics of Poverty and Inequality (MATH-0164)

Fall 2023 · MATH 0164 · Tufts University · 3 credits · Undergraduate

Mathematical description of wealth distribution (some distribution theory, Lorenz curves), and the quantification of inequality (Hoover index, Gini coefficient, Theil indices, Sen's properties of inequality metrics). Agent-based models of wealth distribution, random walks, Wiener processes, Boltzmann and Fokker-Planck equations, and their application to models of wealth distribution. Wealth condensation and weak solutions. Upward mobility and first-passage times. Methods of mathematical modeling and comparison with empirical observations are emphasized throughout. Prerequisites: MATH 42: Calculus III or equivalent; and MATH 51: Differential Equations or equivalent; or instructor permission. Recommended but not strictly necessary: MATH 135: Real Analysis or equivalent; and MATH 165: Probability or equivalent.

Course codes: MATH-0164, MATH 0164, MATH0164, MATH-164, MATH 164, MATH164

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