Statistical model with a standard Gamma distribution

A statistical model consisting of N basic units which interact with each other by exchanging a physical entity, according to a given microscope law, was discussed. The generalized model was characterized by N agents carrying out transactions according to a given criterion. It was suggested that the model can be interpreted as a simple closed economy in which economic agents trade money and a saving criterion is fixed by the saving propensity λ. It was shown that the model can also be interpreted as a perfect gas at an effective temperature T(λ), where particles exchange energy in a space with an effective dimension D(λ)