摘要翻譯:
雖然所分析的兩個(gè)系統(tǒng)都是通過兩個(gè)明顯不同的理論(量子力學(xué)和博弈論)來描述的,但它表明兩者是相似的,因此完全等價(jià)的。復(fù)制體動(dòng)力學(xué)的量子模擬是馮諾依曼方程。量子力學(xué)可以用來更正確地解釋生物和經(jīng)濟(jì)過程。它甚至可以包含游戲和進(jìn)化動(dòng)力學(xué)等理論。我們可以從量子力學(xué)和物理學(xué)中吸取一些概念和定義,以便最好地理解經(jīng)濟(jì)學(xué)和生物學(xué)的行為。此外,我們也許可以把自然理解為一場游戲,游戲中的參與者為了共同的福利和他們作為成員的系統(tǒng)的平衡而競爭。我們系統(tǒng)的所有成員將進(jìn)行一個(gè)博弈,在這個(gè)博弈中,最大收益是系統(tǒng)的均衡。除了個(gè)人之外,他們作為一個(gè)整體行動(dòng),就像他們遵守一個(gè)規(guī)則一樣,在這個(gè)規(guī)則中,他們更喜歡為集體的福利而工作,除了個(gè)人的福利之外。一個(gè)成員處于納什平衡(或ESS)的系統(tǒng)正好等價(jià)于一個(gè)處于最大熵狀態(tài)的系統(tǒng)。一個(gè)制度只有在使集體的福利高于個(gè)人的福利最大化的情況下才是穩(wěn)定的。如果將個(gè)人福利最大化置于集體福利之上,系統(tǒng)就會(huì)變得不穩(wěn)定,最終崩潰。本文的研究結(jié)果表明,“全球化”過程具有完全等價(jià)于一個(gè)趨向于最大熵狀態(tài)的系統(tǒng)的行為,并預(yù)示著大的共同市場和強(qiáng)勢的共同貨幣的出現(xiàn),它們將通過減少其數(shù)量來找到其“均衡”,直到它們達(dá)到一個(gè)只有一種共同貨幣和一個(gè)共同市場的狀態(tài)。
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英文標(biāo)題:
《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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分類信息:
一級(jí)分類:Quantitative Finance 數(shù)量金融學(xué)
二級(jí)分類:General Finance 一般財(cái)務(wù)
分類描述:Development of general quantitative methodologies with applications in finance
通用定量方法的發(fā)展及其在金融中的應(yīng)用
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一級(jí)分類:Physics 物理學(xué)
二級(jí)分類:Physics and Society 物理學(xué)與社會(huì)
分類描述: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).
社會(huì)和團(tuán)體(人類或其他)的結(jié)構(gòu)、動(dòng)態(tài)和集體行為。社會(huì)網(wǎng)絡(luò)和其他復(fù)雜網(wǎng)絡(luò)的定量分析。具有廣泛社會(huì)影響的基礎(chǔ)設(shè)施和系統(tǒng)(如能源網(wǎng)、運(yùn)輸網(wǎng)絡(luò))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鏈接:
https://arxiv.org/pdf/0707.1897