The development of methodological tools for modeling of traffic flow assignment is crucial issue since traffic conditions influence significantly on quality of life nowadays. Herewith no secret that the development of in vehicle route guidance and information systems could impact significantly on route choice as soon as it is highly believed that they are able to reduce congestion in an urban traffic area. Networks' users join groups of drivers who rely on the same route guidance system. Therefore, present paper is devoted to discussing approaches for modeling selfish and group routing. Network performance is deeply associated with competition between users of networks. So, the emphasis in our discussion is placed on game-theoretic approaches for appropriate modeling.