A support system for the prediction of occurrence zones of random phenomena, based on a new model named “instable sets” is disclosed. The calculation or construction of subsets of weak instabilities allows delimiting a small zone, in which random events appear with a high probability. The system implements a process of characterizing instable sets or subsets of lottery combinations so as to enable an approach of efficient and at the same time participatory gaming. In particular, the system supports configuring options of the game by means of a novel process that make the emission of reusable prognosis for multiple users in an interactive mode possible.