Duality and Stationary Distributions of the “Immediate Exchange Model” and Its Generalizations
Duality and Stationary Distributions of the “Immediate Exchange Model” and Its Generalizations
We study the “Immediate Exchange Model”, a wealth distribution model introduced in Heinsalu and Patriarca (Eur Phys J B 87:170, 2014). We prove that the model has a discrete dual, where the duality functions are natural polynomials associated to the Gamma distribution with shape parameter 2 and are exactly those …