In a multi-agent system as a simulation model of social systems, the equilibrium of the system is attained at the competitive equilibrium solution which satisfies the individual rationality if each agent is assumed to select a self-interested action independently of others. On the other hand, since an agent as a model of a human being usually belongs to some group, it may be often desirable that the system has a cooperative equilibrium solution. Furthermore, information which an agent uses for the selection of actions is supposed to be accurate in most of past researches though it seems more practical that it includes uncertainty and delay. Under these circumstances, in this paper, focusing on Hogg-Huberman model, we attempt to realize the equilibrium of the system at a cooperative equilibrium solution to maximize the total profit of the group by introducing another type of agent that follows the group rationality into the system. Then, through a number of computer simulations, we investigate and discuss the stability of a system which consists of either competitive agents based on the individual rationality or cooperative agents based on the group rationality together with the influence of the ratio of cooperative agents in the group and the degree of information uncertainty on the total profit of the group.