N agents trade random wealth — any initial distribution converges to the maximum-entropy Boltzmann (exponential) equilibrium P(w) = (1/μ) e−w/μ
Click to choose an initial wealth distribution:
Equal (δ-function at μ). Every agent begins with exactly the same
wealth W/N — maximum order, minimum entropy. Watch it broaden into the exponential.
The system spontaneously generates inequality from a perfectly egalitarian start.