10 problems
Bank-and-debt inequality conjecture. The inclusion of the bank and the possibility for agents to go into debt will lead to accentuation of wealth inequality, as measured by the Gin…
Xi–Ding–Wang conjecture. In the large population/temperature limit, the distribution of money converges to an asymmetric Laplace distribution.
Dragulescu–Yakovenko conjecture. In the large population/temperature limit, the distribution of money converges to a shifted exponential distribution shifted by coins.
Chakraborti–Chakrabarti–Patriarca–Kaski conjecture. In the large population/temperature limit, the distribution of money converges to a gamma distribution with mean the money tempe…
Dragulescu–Yakovenko conjecture. In the large population/temperature limit, the distribution of money converges to the exponential distribution with mean the money temperature.
Asymmetric Laplace conjecture. Using numerical simulations and heuristic arguments, physicists conjectured that the equilibrium distribution of money converges to an asymmetric Lap…
Consider a system of agents with a collective debt limit: a central bank initially has coins, agents may borrow from it while it is nonempty, and a borrowed coin is reimburse…
Consider the one-coin model, in which agents exchange one coin at a time, and let the money temperature be the mean number of coins per agent. Exponential distribution conjecture.…
Consider a system of agents with total money , money temperature , and individual debt limit , so that an agent's money may range from upward. Let…
Dragulescu–Yakovenko conjecture. When the number of agents and the money temperature are both large, the limiting distribution of money is well approximated by the exponential dist…