Does the optimum management for the given economic process exist
基于博弈论和冯·诺依曼定理,形式化证明了经济过程存在最优管理方式,并讨论了形式化方法与现象学方法的兼容性,对管理实践和决策理论有参考价值。
The formal proof of the existence of an optimal way of managing some of the economical processes is presented in this paper. It is based on the game theory formalism, and on the von Neumann theorem. A theoretical model of a general matrix game for the management of an economic process was introduced and discussed. It was concluded, that a formal approach towards the management had been compatible with the phenomenological one if the black$box simplification had been used. The pre sented approach may be applied in some practical aspects of the management art, using the presented formal process description. In discussions about the management methods and decision making, there are two opposite (different) opinions devoted to the problem of the existence of optimal management procedures and strategies. There are some articles where it is stated that in the turbulent, economic environment it is impossible to find optimal solutions [Krupski 2006]. Also a mathematical approach to the management processes is questioned mainly by humanistic type of authors who try to prove that the complexity of the management makes it impossible to introduce any formal models. In addition the defense of the mathematical point of view is quite difficult, due to specific character of economic experiments. Most of the times it is possible to perform them only once, and they can not be repeated. Only some cyclic processes are suitable for comparison of the yield of the management along some changes of steering perimeters. So it’s rather difficult to prove it experimentally. But all of the oppositionists agree with one fact: at the end of the managed process, any number must be created. This is a very important statement, which legitimizes the formal approach to the management processes. This induces also the fact, that all quantified management systems have to be converted to their own numerical representations. On the other hand, any formal approach towards the management processes is strongly required from the informational point of view.