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Issue 5(1), October 2010 -- Paper Abstracts
Girard  (p. 9-22)
Cooper (p. 23-32)
Kunz-Osborne (p. 33-41)
Coulmas-Law (p.42-46)
Stasio (p. 47-56)
Albert-Valette-Florence (p.57-63)
Zhang-Rauch (p. 64-70)
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Nonis-Hudson-Hunt (p. 95-106) 



JOURNAL OF APPLIED BUSINESS AND ECONOMICS

Quantum Continuous Gradient Models in the Study of Markets


Author(s): Javier M. Huarca Ochoa, Luis H. Ludeña Saldaña

Citation: Javier M. Huarca Ochoa, Luis H. Ludeña Saldaña, (2021) "Quantum Continuous Gradient Models in the Study of Markets," Journal of Applied Business and Economics, Vol. 23, Iss.4,  pp. 167-184

Article Type: Research paper

Publisher: North American Business Press

​Abstract:

Business students graduate without knowing about the existence of quantum continuous gradient models (QCGM) to study financial markets. This paper introduces and discusses these models. The underlying function space Map (X, Y) of QCGM is a set of smooth maps called envelope-gradient functions (EGF) from X to Y with the standard compact-open topology. Herein, we take advantage of some natural properties of EGF to define a classical associative algebra on it and develop a mathematical QCGM. The development of QCGM involves principles of deformation quantization theory and definite integrals of EGF on uniform probability distributions. Applications in economics and further lines of research are suggested.