The cooperative theory and method between agents are important research domains in multi-agent systems (MAS). It is essential that agents can agree on some deals by negotiation tasks, goals and sets of actions. Up to now, various theoretical models have been introduced into the research to cope with the negotiation between agents. How to improve the social rationality of the negotiation is not only one of the main goals, but also a great challenge for researchers, for instance, the process of negotiation is as concise as possible and the deals, as the result of the negotiation between agents, are as reasonable as possible. The superior-and-inferior relationship is pervasive in almost all the social community of the human beings. Inspired by this a new theoretical model of the negotiation is designed in which agents have their own position in the grading system and are able to reason and achieve a set of deals by abiding their situations, relationship and goal structure. Following "social" strategies, agents propose, accept or refuse different offers until they reach a "fair" agreement. The negotiation model studied in this paper is useful for MAS applications and distributed cooperation problem solving.
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