Ereshko, F. & Zlobin, A.S. (1984). Mathematical Methods for the Analysis of Hierarchical Systems. II. Numerical Methods for Solving GameTheoretic, Equilibrium and Pareto Optimization Problems. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP84020

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Abstract
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 twolevel 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 resourcetype constraints then it is assumed that the subsystems choose cooperatively from the set of Paretooptimal 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.
Item Type:  Monograph (IIASA Collaborative Paper) 

Research Programs:  Interactive Decision Analysis Program (IDA) 
Depositing User:  IIASA Import 
Date Deposited:  15 Jan 2016 01:55 
Last Modified:  27 Aug 2021 17:12 
URI:  http://pure.iiasa.ac.at/2557 
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