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  1. Fundamental Measurements in Economics and in the Theory of Consciousness.S. I. Melnyk & I. G. Tuluzov - manuscript
    A new constructivist approach to modeling in economics and theory of consciousness is proposed. The state of elementary object is defined as a set of its measurable consumer properties. A proprietor's refusal or consent for the offered transaction is considered as a result of elementary economic measurement. Elementary (indivisible) technology, in which the object's consumer values are variable, in this case can be formalized as a generalized economic measurement. The algebra of such measurements has been constructed. It has been shown (...)
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  2. Quantum Analog of the Black- Scholes Formula(Market of Financial Derivatives as a Continuous Weak Measurement).S. I. Melnyk & I. G. Tuluzov - 2008 - Electronic Journal of Theoretical Physics (EJTP) 5 (18):95–104.
    We analyze the properties of optimum portfolios, the price of which is considered a new quantum variable and derive a quantum analog of the Black-Scholes formula for the price of financial variables in assumption that the market dynamics can by considered as its continuous weak measurement at no-arbitrage condition.
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  3. The Dynamics of Stock Exchange Based on the Formalism of Weak Continuous Quantum Measurement.S. I. Melnyk & I. G. Tuluzov - 2010 - Journal of Physics 238 (012035):1-9.
    The problem of measurement in economic models and the possibility of their quantum-mechanical description are considered. It is revealed that the apparent paradox of such a description is associated with a priori requirement of conformity of the model to all the alternatives of free choice of the observer. The measurement of the state of a trader on a stock exchange is formally defined as his responses to the proposals of sale at a fixed price. It is shown that an analogue (...)
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  4. Fundamental Measurements in Economics and in the Theory of Consciousness (Manifestation of Quantum-Mechanical Properties of Economic Objects in Slit Measurements).I. G. Tuluzov & S. I. Melnyk - manuscript
    A new constructivist approach to modeling in economics and theory of consciousness is proposed. The state of elementary object is defined as a set of its measurable consumer properties. A proprietor's refusal or consent for the offered transaction is considered as a result of elementary economic measurement. We were also able to obtain the classical interpretation of the quantum-mechanical law of addition of probabilities by introducing a number of new notions. The principle of “local equity” assumes the transaction completed (regardless (...)
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  5. Physical Methodology for Economic Systems Modeling.I. G. Tuluzov & S. I. Melnyk - 2010 - Electronic Journal of Theoretical Physics (EJTP) 7 (24):57-78.
    The paper discusses the possibility of constructing economic models using the methodology of model construction in classical mechanics. At the same time, unlike the "econophysical" approach, the properties of economic models are derived without involvement of any equivalent physical properties, but with account of the types of symmetry existing in the economic system. It has been shown that at this approach practically all known mechanical variables have their "economic twins". The variational principle is formulated on the basis of formal mathematical (...)
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