摘要翻译:
通过分析通过进化博弈论建模的社会经济系统和通过量子力学建模的物理系统之间的关系,我们表明,尽管这两个系统是通过两个明显不同的理论来描述的,但它们却是相似的,因而是完全等价的。量子力学对统计物理和信息论的扩展,让我们用它们的一些定义来最好地理解经济学和生物学的行为。复制体动力学的量子模拟是冯诺依曼方程。一个所有成员都处于纳什均衡的系统相当于一个处于最大熵状态的系统。自然界是一个游戏,在这个游戏中,参与者为了共同的福利和他们作为成员的系统的平衡而竞争。除了个人之外,他们作为一个整体行动,就像他们遵守一个规则一样,在这个规则中,他们更喜欢为集体的福利而工作,除了个人的福利之外。
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英文标题:
《EGT through Quantum Mechanics & from Statistical Physics to Economics》
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作者:
Esteban Guevara
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最新提交年份:
2007
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:General Finance 一般财务
分类描述:Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类:Physics 物理学
二级分类:Physics and Society 物理学与社会
分类描述:Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体(人类或其他)的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统(如能源网、运输网络)的物理和工程。
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英文摘要:
By analyzing the relationships between a socioeconomical system modeled through evolutionary game theory and a physical system modeled through quantum mechanics we show how although both systems are described through two theories apparently different both are analogous and thus exactly equivalents. The extensions of quantum mechanics to statistical physics and information theory let us use some of their definitions for the best understanding of the behavior of economics and biology. The quantum analogue of the replicator dynamics is the von Neumann equation. A system in where all its members are in Nash equilibrium is equivalent to a system in a maximum entropy state. Nature is a game in where its players compete for a common welfare and the equilibrium of the system that they are members. They act as a whole besides individuals like they obey a rule in where they prefer to work for the welfare of the collective besides the individual welfare.
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PDF链接:
https://arxiv.org/pdf/0705.0029