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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2613 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2613 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2613 archive 351 disk0/00/00/25/57 2016-01-15 01:55:25 2021-08-27 17:12:10 2016-01-15 01:55:25 monograph show 2 Ereshko F. AL0103 Zlobin A.S. pub iis_met prog_ida This is the second of two papers dealing with mathematical methods that can be used to analyze hierarchical systems. In this paper, the authors consider the case in which the lower level of a hierarchical system of decision makers is composed of a number of controllable subsystems. If these subsystems are not bounded by common constraints then the analysis is reduced to that of a two-level system consisting of a regulatory center and one lower subsystem. Two types of control are discussed in this case: control of resource use and control through price setting. If, however, there are shared resource-type constraints then it is assumed that the subsystems choose cooperatively from the set of Pareto-optimal alternatives. The problem for the regulatory center is then to maximize its goal function over this set. A number of ways of solving this problem are proposed, and a computational algorithm is given. 1984-05 published CP-84-020 CP-84-020 1859 public collaborative_paper IIASA, Laxenburg, Austria 29 FALSE info:eu-repo/semantics/book