GASICS is an ESF project of the EUROCORES programme LogICCC (Modelling intelligent interaction – Logic in the Humanities, Social and Computational sciences ). It studies game theoretic formalizations of interactive computational systems and algorithms for their analysis and synthesis. Our aim is to extend the existing notions of games played on graphs introduced by computer scientists. Currently, most of the games played on graphs are of the sort “two-player zero-sum”, we aim to extend them to “multiple-player non-zero-sum”, and show the applicability of the new theory to the analysis and synthesis of interactive computational systems.