  The statistical mechanics approach to wealth distribution is based on the
conservative kinetic multi-agent model for money exchange, where the local
interaction rule between the agents is analogous to the elastic particle
scattering process. Here, we discuss the role of a class of conservative local
operators, and we show that, depending on the values of their parameters, they
can be used to generate all the relevant distributions. We also show
numerically that in order to generate the power-law tail an heterogeneous risk
aversion model is required. By changing the parameters of these operators one
can also fine tune the resulting distributions in order to provide support for
the emergence of a more egalitarian wealth distribution.
