2007/07/12 by Esteban Guevara Hidalgo, Hidalgo, Esteban Guevara
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Economic Theory and Institutions #Economic theories and models #FOS: Economics and business #FOS: Physical sciences #General Finance (q-fin.GN) #Physics and Society (physics.soc-ph) #physics.soc-ph #q-fin.GN
paper · pdf · doi:10.48550/arxiv.0707.1897
Econophysics Colloquium & Beyond (Ancona, Italy, 2007), 7 pages. arXiv admin note: substantial text overlap with arXiv:0705.0029, arXiv:physics/0609088, arXiv:physics/0609245; text overlap with arXiv:quant-ph/0510238
openalex publication_date 2007/07/12 · arxiv created 2016/12/08 · arxiv updated 2016/12/12 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/28
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.