Volume 4 • Issue 1 | March 2020

Quantum-Like Modeling: from Economics to Social Laser

Andrei Khrennikov, Emmanuel Haven

Abstract: This is a brief review of the recent development of quantum-like modeling, in decision making, finance, social and political science. We point to the recent quantum information revolution elevating the role of the information dimension of quantum theory. Then the essentials of quantum probability are briefly presented with emphasis on the formula of total probability with the interference term as a tool for amplification of probability (as is done in quantum computing). We stress that this amplification is the essence of the quantum probability update, non-Bayesian update. We show that contextuality is the basic reason for the applicability of quantum probability to modeling of behavior of human agents - the quantum-like paradigm. We then discuss semiclassical modeling in economics and finance. Finally, we present the model of “social laser” for stimulated amplification of social actions (SASA). This is a new field of research. We formulate a number of open problems, both in theory and social engineering. One of the main intriguing problems is the mathematical formalization of the notion of social energy (with its possible generalizations such as, e.g., financial energy).