Authors: Masayuki Matsui, Tetsuo Yamada, Masato Takanokura
There is a class of artifacts bodies and their science, also known as 3M & I-bodies in 2008, which consist of human, material/machine, monetary and informational components. For multi-body systems, the paper discusses and develops the scientific and economic fundamentals of the Follett-like classification as domination, compromise, integration and sharing in 2-center conflict types (Matsui, 1983). That is, the mathematical view is based on the Venn diagram of sets in mathematics, the physical view is based on the principle of the lever in Archimedes’ work, and the economical view is based on the profit (specific gravity) and Matsui’s equation. From a systematic view composed of these, it is obtained that the integration pursues the maximization of intersection (compromise) in the two-center, whereas the sharing pursues the minimization of intersection (compromise) in field. When the marginal (maximal) profit is the same, both are pointed out to be similar on the relation of classical Nash’s solution and duality; the scientific and economic findings will contribute to the advance of the coming society and its visibility and harmony in collaboration vs. sharing.
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