  This paper presents a theoretical extension of the DeTEcT framework proposed
by Sadykhov et al., DeTEcT, where a formal analysis framework was introduced
for modelling wealth distribution in token economies. DeTEcT is a framework for
analysing economic activity, simulating macroeconomic scenarios, and
algorithmically setting policies in token economies. This paper proposes four
ways of parametrizing the framework, where dynamic vs static parametrization is
considered along with the probabilistic vs non-probabilistic. Using these
parametrization techniques, we demonstrate that by adding restrictions to the
framework it is possible to derive the existing wealth distribution models from
DeTEcT. In addition to exploring parametrization techniques, this paper studies
how money supply in DeTEcT framework can be transformed to become dynamic, and
how this change will affect the dynamics of wealth distribution. The motivation
for studying dynamic money supply is that it enables DeTEcT to be applied to
modelling token economies without maximum supply (i.e., Ethereum), and it adds
constraints to the framework in the form of symmetries.
