建立系统科学基础理论框架的一种可能途径与若干具体思路(之九)——博弈的演化分析

A Possible Approach to the Framework of the Fundamental Theory of System Science: Part Nine

这是总标题下的第九篇.全文的总目的是试图从现代物理、分子生物学与脑神解经剖学等学科领域的最新实验事实,以及相应的前沿理论领域围绕着演化概念研究的展开所获得已有理念与成就为基础,按照"由大爆炸理论所描述的物理世界之最初情景出现以来,世界物质总是在其不同时空点具体结构状态下的几种基本相互作用属性形成的制约机械造成的物质——能量结构与分布仍非完全平衡态势的推动下,不断的一层一层完成其全方位整体性进一步精细平衡结构,实现其该层次从无序到有序的起伏演化——这一总体自然法则"的认识主线,提出一种建立系统科学基础理论的定性定量框架思路与若干细节方法.文中对相互作用、进化、演化、适应性与复杂性等概念进行了分析,对突变、分歧、吸引子、混沌、协同、分形等基于此种理论做了一种较为直观的诠释.同时,也将论及信息的本质与其人本意义下的价值概念,特别是她与非线性的密切关系等.当然,这一切均还是初步的,尽管其中一部分作者也已经获得了一些较为严谨的结果.

A qualitative and qualitative framework for the fundamental theory of system sciences as well as some details is given on the basis of some new experimental evidence, ideals and achievements concerning evolution in many fields such as modern physics, molecule biology and brain anatomy, etc. Some concepts such as interaction, evolution, adaptability, and complexity are discussed. Intuitional annotations about catastrophe, bifurcation, attractor, chaos, fractal and synergy are also given. The essence and the value of information, and the closed relation between information and nonlinearity are investigated. It is no doubt that all the works are to be considered in detail, although we have some rigorous results in particular steps.\; It is the ninth part of the paper. Regulation operator is introduced in the first place, and Nash equilibrium is considered as the fixed point of regulation operator. Then, adaptation operator is defined based on the mechanism of interaction. With numerical simulating, it shows that Nash equilibrium of Cournot competition game is the steady solution of both the iterative process of regulation operator and of adaptation operator.