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arXiv physics/0609245physics.soc-phq-fin.GN
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量子经济物理学

Quantum Econophysics

Esteban Guevara Hidalgo

摘要:

博弈论和量子力学之间的关系让我们提出了某些量子化关系,通过这些关系,我们不仅可以描述和理解量子系统,而且可以描述和理解经典的、进化的和生物系统,这些系统之前通过复制子动力学描述过。量子力学可以用来更正确地解释生物和经济过程,甚至它可以包含像博弈和进化动力学这样的理论。这可能使量子力学成为我们所认为的更普遍的理论。虽然这两个系统的分析是通过两个明显不同的理论(量子力学和博弈论),它表明,这两个系统是类似的,因此完全等同。因此,我们可以从量子力学和物理学中引入一些概念和定义,以便更好地理解经济学和生物学的行为。同时,我们也许可以把自然理解为一个游戏,在这个游戏中,参与者为了共同的福利和系统的均衡而竞争,他们是系统的成员。

英文摘要:

The relationships between game theory and quantum mechanics let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and the biological systems that were described before through the replicator dynamics. Quantum mechanics could be used to explain more correctly biological and economical processes and even it could encloses theories like games and evolutionary dynamics. This could make quantum mechanics a more general theory that we had thought. Although both systems analyzed are described through two apparently different theories (quantum mechanics and game theory) it is shown that both systems are analogous and thus exactly equivalents. So, 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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