The concept of "наворовался" from a Category Theory perspective

[timelets]

steal: A -> B, where
"steal" is a transformation
A - a person in power at time period 1
B - the same in power at time period 2

The concept of "наворовался" assumes that by time period 2 of the "steal" transformation the person in power reaches a plateau of diminishing returns and rationally becomes disinterested in continuing stealing. As the result, the "steal" transformation terminates by itself. Therefore, replacing the person in power B with a new person who has not undergone the steal transformation is considered to be inefficient.

The assumption behind this reasoning implies a constant number persons (equal to one) as the source and the target of the steal transformation. Such an assumption is not necesserily true because the person can have existing or new friends, relatives, and colleagues (entourage) who have a different propensity for stealing. Moreover, if the person in power is allowed to bring his/her children into the picture, the process of stealing may begin anew. Furthermore, the entire entourage can have children who might want to start stealing too. As the result, instead of "наворовался" we get into a perpetual process of stealing with no diminishing returns in sight.

A more realistic expression would be

steal: X -> Y, where
steal is a transformation
X - an entourage in power (кооперативе Озеро) at time 1
Y - children of X at time 2

The entourage works as a composite actor to eliminate internal inefficiencies of the steal transformation. That is, when one member of the entourage reaches the state of diminishing returns, s/he transfers the power to another member of the entourage, either from the current or the next generation.