Quantum Econometrics: How to Explain Its Quantitative Successes and How the Resulting Formulas Are Related to Scale Invariance, Entropy, Fuzzy, and Copulas

Authors

Hung T. Nguyen, New Mexico State University - Main CampusFollow
Kittawit Autchariyapanitkul, Maijo UniversityFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Songsak Sriboonchitta, Chiang Mai UniversityFollow

Publication Date

12-2017

Comments

Technical Report: UTEP-CS-17-74a

To appear in: Van-Nam Huynh, Masahiro Inuiguchi, Dang-Hung Tran, and Thierry Denoeux (eds.), Proceedings of the International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making IUKM'2018, Hanoi, Vietnam, March 13-15, 2018.

Abstract

Many aspects of human behavior seem to be well-described by formulas of quantum physics. In this paper, we explain this phenomenon by showing that the corresponding quantum-looking formulas can be derived from the general ideas of scale invariance, fuzziness, and copulas. We also use these ideas to derive a general family of formulas that include non-quantum and quantum probabilities as particular cases -- formulas that may be more adequate for describing human behavior than purely non-quantum or purely quantum ones.