ECONOPHYSICS WEALTH

Random exchange model — Pareto tails, Gini coefficient emergence

STATISTICS

Step0
Gini0
Top 10% wealth0%
Top 1% wealth0%
Pareto α0
Mean wealth0

PARAMETERS

CONTROLS

Shock: randomly destroy 80% of top 10% wealth

MODEL

Random pair (i,j) exchanges:
ε ∈ [0, exchange_frac]
Δw = ε·(wᵢ+wⱼ) − wᵢ
Boltzmann: w→Ae^(-w/T)
With savings → Gamma dist
Pareto tail from heterogeneity