https://www.masswerk.at/misc/wealth/2.html

A Random Distribution of Wealth (2)

Simulation: Run Stop

What happens, if 100 persons in a room are given $100 each and give
away a Dollar to one randomly chosen person in this room each tick of
the clock? How is wealth distributed over time by pure chance?

Here, we simulate a population of 55 players, given a starting
capital of $45 each, for 5,000 rounds.

This model is the same as in the basic version, but includes basic
economics, like debt (whithout interest) and investments that are
proportional to the respective wealths of the spending and the
receiving player (but may not undercut a liminal cost of a quarter
Dollar per round). Hence, the slope/gradient of the curve typically
increases, while the characteristics of median of the distribution
are generally maintained.

So for any transactions between two players (P[i] : P[r])[t] wealths 
W are mutated by a turnover z as in

W[i,t] = W[i, t-1] - z

and

W[r,t] = W[r, t-1] + z

where

z = ( || W[i, t-1] || ÷ W[t[0]] + || W[r, t-1] || ÷ W[t[0]]
) ÷ 2 and z >= 0.25

Thus, z will be 1 at t[1] and growth rates will evolve in subsequent
iterations with the developing market positions of the individual
players involved in a transaction.

The "Run" button starts a new simulation, which may stopped and
resumed any time. Once stopped, you may navigate the entire timeline
by means of the slider at the bottom of visualization. Orange bars
represent the individual players and their respective wealth, while
the blue bars represent the distribution in the population, ordered
from the poorest players at the left to the richest one at the far
right. The median of this distribution is marked by a dotted line.

Explore!

See also an even more dramatically evolving model, using geometrical
proportions for its transactions.

 2017 www.masswerk.at, based on an article in Decision Science News.