2012/08/31 by Igor Tuluzov, Tuluzov, Igor, Sergiy Melnyk +1
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #81P15 #Complex Systems and Time Series Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #J.2 #J.4 #Quantum Mechanics and Applications #acm:81P15 #advanced mathematical theories #msc:81P15 #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1209.1831
22 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1110.5283
arxiv created 2012/08/31 · openalex publication_date 2012/08/31 · arxiv updated 2012/09/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We propose an axiomatic approach to constructing the dynamics of systems, in which one the main elements is the consciousness of a subject. The main axiom is the statements that the state of consciousness is completely determined by the results of measurements performed on it. In case of economic systems we propose to consider an offer of transaction as a fundamental measurement. Transactions with delayed choice, discussed in this paper, represent a logical generalization of incomplete transactions and allow for a more rigorous approach to studying the properties of the algebra of economic measurements. Considering the behavior of an object as a sequence of actions and choices allows extending the obtained results to random systems, which include the subject's consciousness as one of its elements. The specifics, on which the description of fundamental measurements is based, allows easily transferring the formalism of Schwinger's theory of selective measurements (and the consequent quantum-mechanical formalism) to the economic and social systems.