El Origen de la Econofísica y el Principio del Bienestar del Colectivo
We analyze the relationships between game theory and quantum mechanics. Although both systems analyzed are described through two apparently different theories quantum mechanics and game theory, it is shown that both are analogous and thus exactly equivalents. So, we can take some concepts...
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| Format: | article |
| Language: | spa |
| Published: |
2006
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| Subjects: | |
| Online Access: | https://estudioseconomicos.bce.fin.ec/index.php/RevistaCE/article/view/159 |
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Add Tag | Summary: | We analyze the relationships between game theory and quantum mechanics. Although both systems analyzed are described through two apparently different theories quantum mechanics and game theory, it is shown that both 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. This let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and also the biological systems that were described before through game theories. The quantum analogue of the replicator dynamics is the von Neumann equation. This led us to propose a quantum equilibrium in which 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 and eventually it collapses. |
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