In this paper the authour constructed the computer system with the object of supporting negotiators for agreement by giving them some rational compromise in practice. Negotiators here mean constituents of a group, each of whom possesses a different opinion and view but has a common goal. Based on the negotiation model in which a compromise takes place in accordance with the change of the negotiators' utility values, this system suggests a means to search for the compromise point utilizing the genetic algorithms, which applied on type of chaotic fluctuations derived from the natural selection theory for generation of the individual.
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