“…However, the problem of illegal behaviors has been investigated mostly related to tradable permits (see, among others, [1,27,29]) and particularly in fisheries (see, among others, [8,15]). 1 Otherwise, to our knowledge, only few papers deal with illegal water extraction, namely [2,5]. In both papers the population of farmers is composed of two types, compliant and non-compliant, and are studied in two different contexts, differential game the first, evolutionary game the second.…”