In this paper, we consider the problem of the mechanism design for the multi-agents system. We develop the social learning model for the mechanism design for creating the collective action with an efficient cost sharing rule. We consider the situation in which self-interest agents have incentives to cooperate each other for jointly acquiring the environmental level with sharing the necessary cost. We obtain the optimal level of the environment to be acquired and the cost allocation rule so that their individual rationality is satisfied, and at the same time the social rationality is also satisfied. We show that the factors such as the value (worth) of the environmental level perceived by each agent and the cost affect the level the collective action. A social rule of allocating the common cost among agents is developed with decentralized transaction mechanism. We formulate and analyze the problem of cooperating multiple agents under uncertainty. We show that when agents cooperate in order to encounter uncertainty when acting alone, their benefits would not be as attractive, and hence cooperate to share the risk. As a specific example, we consider the model of obtaining the environmental level by sharing cost. We propose the negotiation mechanism for sharing cost among agents. With that mechanism, they can learn and obtain the unbiased and fare cost distribution rule.
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