Wave function in economics

Ledenyov, Dimitri O. and Ledenyov, Viktor O. (2015): Wave function in economics.

Abstract

In this research article: 1) the new quantum macroeconomics and microeconomics theories in the quantum econophysics science are formulated, 2) the notion on the wave function in the quantum macroeconomics and microeconomics theories in the quantum econophysics science is introduced, and 3) the quantum econophysical wave equations in the quantum macroeconomics and microeconomics theories in the quantum econophysics science are derived for the first time. Authors show that there is a certain conceptual scientific analogy between 1) the wave functions in the quantum econophysical wave equations in the quantum macroeconomics and microeconomics theories in the quantum econophysics science as well as 2) the wave function in the Schrödinger quantum mechanical wave equation in the quantum mechanics science. The wave function theories are created to make: 1) the economy’s state prediction at the certain time moment, using the wave function in the quantum econophysical wave equation in the quantum macroeconomic theory in the quantum econophysics science; and 2) the firm’s state prediction at the certain time moment, using the wave function in the quantum econophysical wave equation in the quantum microeconomic theory in the quantum econophysics science. Authors use the quantum econophysical wave equations in the quantum econophysics science to develop a new software program for the application by the central / commercial / investment banks with the purpose the make the accurate characterization and forecasting of: 1) the national/global economic performance changes, including the GIP((t), GDP(t), GNP(t) dependences changes, in agreement with the quantum macroeconomics theory in the quantum econophysics science, and 2) the firm’s economic performance changes, including the EBITDA(t) dependence changes in agreement with the quantum microeconomics theory in the quantum econophysics science.

• Item Type: MPRA Paper
• Language: English
• Keywords: economy’s performance state prediction problem at certain time moment, firm’s performance state prediction problem at the certain time moment, wave functions in quantum econophysical wave equations in quantum macroeconomics/microeconomics theories in quantum econophysics science, wave function in Schrödinger quantum mechanical wave equation in quantum mechanics science, econophysics, econometrics, nonlinear dynamic economic system, economy of scale and scope, macroeconomics, microeconomics.
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General; D - Microeconomics > D0 - General; D - Microeconomics > D0 - General > D01 - Microeconomic Behavior: Underlying Principles; D - Microeconomics > D8 - Information, Knowledge, and Uncertainty; D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D80 - General; E - Macroeconomics and Monetary Economics > E0 - General; N - Economic History > N1 - Macroeconomics and Monetary Economics ; Industrial Structure ; Growth ; Fluctuations; O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights

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428. Shiryaev A N 1963 On optimal methods in quickest detection problems Theory of Probability and its Applications 8 (1) pp 22 – 46.

429. Shiryaev A N 1964 On Markov sufficient statistics in non-additive Bayes problems of sequential analysis Theory of Probability and its Applications 9 (4) pp 670 – 686.

430. Shiryaev A N 1965 Some exact formulas in a ’disorder’ problem Theory of Probability and its Applications 10 pp 348 – 354.

431. Grigelionis B I, Shiryaev A N 1966 On Stefan’s problem and optimal stopping rules for Markov processes Theory of Probability and its Applications 11 pp 541 – 558.

432. Shiryaev A N 1967 Two problems of sequential analysis Cybernetics 3 pp 63 – 69.

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434. Shiryaev A N 1972 Random processes Moscow State University Press Russian Federation.

435. Shiryaev A N 1973, 1974 Probability, statistics, random processes Moscow State University Press vols 1, 2 Russian Federation.

436. Shiryaev A N 1978, 2008b Optimal stopping rules 1st edition, 3rd edition Springer ISSN 0172-4568 Library of Congress Control Number: 2007934268 Berlin Germany pp 1 – 217.

437. Shiryaev A N 1988 Probability Springer-Verlag Berlin Heidelberg Germany.

438. Shiryaev A N 1995 Probability 2nd edition Springer - Verlag ISBN 0-387-94549-0 New York USA pp 1 – 621.

439. Shiryaev A N 1998a Foundations of stochastic financial mathematics vol 1 Fazis Scientific and Publishing House Moscow Russian Federation ISBN 5-7036-0044-8 pp 1 – 492.

440. Shiryaev A N 1998b Foundations of stochastic financial mathematics vol 2 Fazis Scientific and Publishing House Moscow Russian Federation ISBN 5-7036-0044-8 pp 493 – 1017.

441. Shiryaev A N 1999 Essentials of stochastic finance: Facts, models, theory Advanced Series on Statistical Science & Applied Probability vol 3 World Scientific Publishing Co Pte Ltd Kruzhilin N (translator) ISBN 981-02-3605-0 Singapore pp 1 – 834.

442. Shiryaev A N, Spokoiny V G 2000 Statistical experiments and decisions: Asymptotic theory World Scientific Publishing Co Pte Ltd ISBN 9810241011 Singapore pp 1 – 283.

443. Graversen S E, Peskir G, Shiryaev A N 2001 Stopping Brownian motion without anticipation as close as possible to its ultimate maximum Theory of Probability and its Applications 45 pp 125 – 136 MR1810977 http://www.ams.org/mathscinetgetitem?mr=1810977 .

444. Kallsen J, Shiryaev A N 2001 Time change representation of stochastic integrals Theory of Probability