Camera assignment and hand-off are some of the key image processing problems in a video network. In this paper, we propose a new approach for camera assignment and handoff in a video network. The camera assignment problem is modeled as a weakly acyclic game which allows the design of utility functions based on different user-supplied criteria. A theoretical and experimental comparison of the proposed approach with the two recently proposed approaches based on potential game theory and constraint satisfaction problem is provided. This comparison shows that the proposed approach is theoretically more general and computationally more efficient than the other approaches.