Evolution and Stability of an Autonomous System Subjected to Interdependent Decisionmakers

Time evolution and stability of an autonomous system which is subject to many interdependent decisionmakers have been investigated. The autonomous system evolves toward a goal at which the irreversible decay rate of the system is minimized, where the autonomous system is supposed to be an open system subjected to various irreversible flows from outside, and where each of the interdependent decisionmakers is supposed to make and to revise his decisions at his own will by referring to the previous decisions made by both himself and others. The most stable and asymptotic structure with the least irreversible decay rate is the one which can restore itself even if the decisions of the interdependent decisionmakers are perturbed slightly. The surviving structure is determined as an organism holding a lasting memory of itself.