2006/09/11 by Esteban Guevara Hidalgo, Hidalgo, Esteban Guevara · 4 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Economics and business #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Statistical Finance (q-fin.ST) #physics.soc-ph #q-fin.ST
paper · pdf · doi:10.48550/arxiv.physics/0609088
openalex publication_date 2006/09/11 · arxiv created 2016/12/08 · arxiv updated 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the relationships between game theory and quantum mechanics and the extensions to statistical physics and information theory. We use certain quantization relationships to assign quantum states to the strategies of a player. These quantum states are contained in a density operator which describes the new quantum system. The system is also described through an entropy over its states, its evolution equation which is the quantum replicator dynamics and a criterion of equilibrium based on the Collective Welfare Principle. We show how the density operator and entropy are the bonds between game theories, quantum information theory and statistical physics. We propose the results of the study of these relationships like a reason of the applicability of physics in economics and the born of econophysics.