A game-theoretic model on cognitive map is considered in the paper. The results are illustrated by the analysis of conflict of interests between Russia and Norway at the signing of the Treaty on maritime delimitation and cooperation in the Barents Sea in two. The system of beliefs, controls and goals of each side are formalized by cognitive map. Analysis of the game on the cognitive map showed that, signing of the Treaty will be profitable for Russia in the short term, but not favorable in the long run. Key causal relationship in the cognitive map, which led to this result were detected.