What is happening here is fairly simple: Since each state in the system occurs with the same probability, the distribution that arises is the one that maximizes the entropy. Since the total amount of money is conserved,…
It is not a Gaussian, it is a geometric (i.e. exponential) distribution, since it is the maximum entropy distribution with a fixed mean: https://en.wikipedia.org/wiki/Maximum_entropy_probability_di...
What is happening here is fairly simple: Since each state in the system occurs with the same probability, the distribution that arises is the one that maximizes the entropy. Since the total amount of money is conserved,…
It is not a Gaussian, it is a geometric (i.e. exponential) distribution, since it is the maximum entropy distribution with a fixed mean: https://en.wikipedia.org/wiki/Maximum_entropy_probability_di...