摘要翻译:
虽然所分析的两个系统都是通过两个明显不同的理论(量子力学和博弈论)来描述的,但它表明两者是相似的,因此完全等价的。复制体动力学的量子模拟是冯诺依曼方程。量子力学可以用来更正确地解释生物和经济过程。它甚至可以包含游戏和进化动力学等理论。我们可以从量子力学和物理学中吸取一些概念和定义,以便最好地理解经济学和生物学的行为。此外,我们也许可以把自然理解为一场游戏,游戏中的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。我们系统的所有成员将进行一个博弈,在这个博弈中,最大收益是系统的均衡。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。一个成员处于纳什平衡(或ESS)的系统正好等价于一个处于最大熵状态的系统。一个制度只有在使集体的福利高于个人的福利最大化的情况下才是稳定的。如果将个人福利最大化置于集体福利之上,系统就会变得不稳定,最终崩溃。本文的研究结果表明,“全球化”过程具有完全等价于一个趋向于最大熵状态的系统的行为,并预示着大的共同市场和强势的共同货币的出现,它们将通过减少其数量来找到其“均衡”,直到它们达到一个只有一种共同货币和一个共同市场的状态。
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英文标题:
《Maximum Entropy, the Collective Welfare Principle and the Globalization
Process》
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作者:
Esteban Guevara Hidalgo
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最新提交年份:
2016
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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:
Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is the von Neumann equation. Quantum mechanics could be used to explain more correctly biological and economical processes. It could even encloses theories like games and evolutionary dynamics. We can take some concepts and definitions from quantum mechanics and physics for the best understanding of the behavior of economics and biology. Also, we could maybe understand nature like a game in where its players compete for a common welfare and the equilibrium of the system that they are members. All the members of our system will play a game in which its maximum payoff is the equilibrium of the system. 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. A system where its members are in Nash Equilibrium (or ESS) is exactly equivalent to a system in a maximum entropy state. A system is stable only if it maximizes the welfare of the collective above the welfare of the individual. If it is maximized the welfare of the individual above the welfare of the collective the system gets unstable an eventually collapses. The results of this work shows that the "globalization" process has a behavior exactly equivalent to a system that is tending to a maximum entropy state and predicts the apparition of big common markets and strong common currencies that will find its "equilibrium" by decreasing its number until they get a state characterized by only one common currency and only one common market around the world.
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PDF链接:
https://arxiv.org/pdf/0707.1897