Abstract
In this paper, a brief description of the authors' concept of sustainable management is given. According to the proposed concept, the sustainable development of an active system means that in the same time some requirements of viability of the system are satisfied, and the interests of the active agents are considered and coordinated. The main emphasis is made on two mathematical examples. First, a relation between egoistic and altruistic evolutionary strategies is studied by means of the Verhulst-Pearl model. Second, selfish and cooperative behavior of the users of a renewable resource is compared on the base of a differential game model. The conditions of viability are formalized as phase constraints. Their satisfaction may be a result of the voluntary coordination of the agents or their enforced coordination provided by a specially introduced principal. The main contribution of the paper consists in the comparative analysis of these ways of sustainable management.
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