Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

NeuroQuantology

Modeling in Economics and in the Theory of Consciousness on the Basis of Generalized Measurements

Sergiy Melnyk, Игорь Георгиевич Тулузов

Published May 28, 2014• 4 citations
Publisher

Abstract

The standard approach to modeling of systems involving subjects (economic subjects, in particular) is based both on the information on their structure and the phenomenological assumptions on their properties.The alternative approach used in the physical theory is based on the analysis of group properties of a set of measurements of the observed system.The aim of the present paper was to study the possibilities of its use for modeling in economics.It has been shown that in the general case the quantum mechanical formalism of the theory of selective measurements is required for that.A proprietor's refusal or consent for the offered transaction is considered as a result of elementary economic measurement.The algebra of such measurements has been constructed.The economic analogs of the elementary slit experiments in physics have been created.The proposed approach can be also used for consciousness modeling.

DOI
10.14704/nq.2014.12.2.743

Related papers

Fundamental Measurements in Economics and in the Theory of Consciousness

Sergiy Melnyk, Игорь Георгиевич Тулузов

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 that in the general case the quantum-mechanical formalism of the theory of selective measurements is required for description of such conditions. The economic analogs of the elementary slit experiments in physics have been created. The proposed approach can be also used for consciousness modeling.

arXiv:1110.5283•Oct 21, 2011•1 citation

Manifestation of Quantum Mechanical Properties of a Proprietor’s Consciousness in Slit Measurements of Economic Systems

Игорь Георгиевич Тулузов, Sergiy Melnyk

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 of the result) of the states of transaction partners are not changed in connection with the reception of new information on proposed offers or adopted decisions (consent or refusal of the transaction).However it has no relation to the paradoxes of quantum theory connected with non-local interaction of entangled states.In the economic systems the mechanism of entangling has a classical interpretation, while the quantum-mechanical formalism of the description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness.

NeuroQuantology•May 28, 2014•4 citations

Fundamental Measurements in Economics and in the Theory of Consciousness (Manifestation of quantum-mechanical properties of economic objects in slit measurements)

Игорь Георгиевич Тулузов, Sergiy Melnyk

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 of the result) of the states of transaction partners are not changed in connection with the reception of new information on proposed offers or adopted decisions (consent or refusal of the transaction). However it has no relation to the paradoxes of quantum theory connected with non-local interaction of entangled states. In the economic systems the mechanism of entangling has a classical interpretation, while the quantum-mechanical formalism of the description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness.

arXiv:1110.5288•Oct 24, 2011•1 citation

Algebra of fundamental measurements as a basis of dynamics of economic systems

Tuluzov, Igor, Melnyk, Sergiy

We propose an axiomatic approach to constructing the dynamics of systems, in which one the main elements is the consciousness of a subject. The main axiom is the statements that the state of consciousness is completely determined by the results of measurements performed on it. In case of economic systems we propose to consider an offer of transaction as a fundamental measurement. Transactions with delayed choice, discussed in this paper, represent a logical generalization of incomplete transactions and allow for a more rigorous approach to studying the properties of the algebra of economic measurements. Considering the behavior of an object as a sequence of actions and choices allows extending the obtained results to random systems, which include the subject's consciousness as one of its elements. The specifics, on which the description of fundamental measurements is based, allows easily transferring the formalism of Schwinger's theory of selective measurements (and the consequent quantum-mechanical formalism) to the economic and social systems.

arXiv:1209.1831•Aug 31, 2012•3 citations

The dynamics of stock exchange based on the formalism of weak continuous quantum measurement

Sergiy Melnyk, Игорь Георгиевич Тулузов

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 of Bell's inequalities for this measurement model is violated at the most general assumptions related to the strategy of the trader and requires a quantum-mechanical description of the dynamics of his condition. In the framework of the theory of weak continuous quantum measurements, the equation of stock price dynamics and the quantum-mechanical generalization of the F. Black and M. Scholes model for pricing options are obtained. The fundamental distinctions between the obtained model and the classical one are discussed.

Journal of Physics Conference Series•Jul 1, 2010•5 citations

Phenomena of Quantum Economy

Advertising agency “Publicis Groupe”, М.Ю. Чурилин, T. A. Valiulina

The paper undertakes to analyse the changes in the economic agent which it is subject to when described from the perspective of different worldviews. The mechanistic, electrodynamic and relativistic quantum worldviews suggest different interpretations of the properties of the object, hence describe economic objects different in nature. Reliance on physicalist methods makes it possible to reveal an economic agent displaying solidarity and to outline its preconditions. The goal of this research is reconsidering the object of economics and revealing its new properties. The first task is to describe the economic agent in mechanistic terms, the second task is to add to it the properties that are drawn from quantum mechanics. The paper looks for analogies and metaphors of such phenomena as tunnel effect and duality of microparticles. It also suggests a system of institutional organization for regulating demand for different categories of goods. The theory of institutions is interpreted through the analogies of the electrodynamic worldview. The principles of behavioral economics are presented in terms of the quantum-relative worldview. The article reveals a new production factor that allows the agent to exchange the labour performed in the system of informal institutions for its analogies in the formal system. It is inferred that the peculiarities of behaviour are formed by institutions and divide agents of demand into groups. The metaphors of quantum-field experiments are revealed to explain the mechanisms of influence on these groups depending on their preferences. The paper explores the agent of demand — the purchaser — consisting of multiple households. Economic analogies are searched in the process of interpreting the law of demand and supply.

Economic Strategies•Oct 20, 2022•0 citations
The standard approach to modeling of systems involving subjects (economic subjects, in particular) is based both on the information on their structure and the phenomenological assumptions on their properties.The alternative approach used in the physical theory is based on the analysis of group properties of a set of measurements of the observed system.The aim of the present paper was to study the possibilities of its use for modeling in economics.It has been shown that in the general case the quantum mechanical formalism of the theory of selective measurements is required for that.A proprietor's refusal or consent for the offered transaction is considered as a result of elementary economic measurement.The algebra of such measurements has been constructed.The economic analogs of the elementary slit experiments in physics have been created.The proposed approach can be also used for consciousness modeling.
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 that in the general case the quantum-mechanical formalism of the theory of selective measurements is required for description of such conditions. The economic analogs of the elementary slit experiments in physics have been created. The proposed approach can be also used for consciousness modeling.
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 of the result) of the states of transaction partners are not changed in connection with the reception of new information on proposed offers or adopted decisions (consent or refusal of the transaction).However it has no relation to the paradoxes of quantum theory connected with non-local interaction of entangled states.In the economic systems the mechanism of entangling has a classical interpretation, while the quantum-mechanical formalism of the description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness.
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 of the result) of the states of transaction partners are not changed in connection with the reception of new information on proposed offers or adopted decisions (consent or refusal of the transaction). However it has no relation to the paradoxes of quantum theory connected with non-local interaction of entangled states. In the economic systems the mechanism of entangling has a classical interpretation, while the quantum-mechanical formalism of the description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness.
We propose an axiomatic approach to constructing the dynamics of systems, in which one the main elements is the consciousness of a subject. The main axiom is the statements that the state of consciousness is completely determined by the results of measurements performed on it. In case of economic systems we propose to consider an offer of transaction as a fundamental measurement. Transactions with delayed choice, discussed in this paper, represent a logical generalization of incomplete transactions and allow for a more rigorous approach to studying the properties of the algebra of economic measurements. Considering the behavior of an object as a sequence of actions and choices allows extending the obtained results to random systems, which include the subject's consciousness as one of its elements. The specifics, on which the description of fundamental measurements is based, allows easily transferring the formalism of Schwinger's theory of selective measurements (and the consequent quantum-mechanical formalism) to the economic and social systems.
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 of Bell's inequalities for this measurement model is violated at the most general assumptions related to the strategy of the trader and requires a quantum-mechanical description of the dynamics of his condition. In the framework of the theory of weak continuous quantum measurements, the equation of stock price dynamics and the quantum-mechanical generalization of the F. Black and M. Scholes model for pricing options are obtained. The fundamental distinctions between the obtained model and the classical one are discussed.
The paper undertakes to analyse the changes in the economic agent which it is subject to when described from the perspective of different worldviews. The mechanistic, electrodynamic and relativistic quantum worldviews suggest different interpretations of the properties of the object, hence describe economic objects different in nature. Reliance on physicalist methods makes it possible to reveal an economic agent displaying solidarity and to outline its preconditions. The goal of this research is reconsidering the object of economics and revealing its new properties. The first task is to describe the economic agent in mechanistic terms, the second task is to add to it the properties that are drawn from quantum mechanics. The paper looks for analogies and metaphors of such phenomena as tunnel effect and duality of microparticles. It also suggests a system of institutional organization for regulating demand for different categories of goods. The theory of institutions is interpreted through the analogies of the electrodynamic worldview. The principles of behavioral economics are presented in terms of the quantum-relative worldview. The article reveals a new production factor that allows the agent to exchange the labour performed in the system of informal institutions for its analogies in the formal system. It is inferred that the peculiarities of behaviour are formed by institutions and divide agents of demand into groups. The metaphors of quantum-field experiments are revealed to explain the mechanisms of influence on these groups depending on their preferences. The paper explores the agent of demand — the purchaser — consisting of multiple households. Economic analogies are searched in the process of interpreting the law of demand and supply.