With a typical and simple 2bit problem, the global dynamic shape of the multiagent social evolutionary algorithm is comprehensively analyzed in this paper. The common evolution operators and their combinations are also formally described. Furthermore, a mathematical model is established based on the simplified MASEA. The effect that every evolutionary operator has on the dynamic shape is discovered by the attraction analysis of the fixed points in the models. The global convergence of MASEA is also proved for the 2bit problem.