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Top2. Multidimensionality Of The Space Of Economic States
We have previously proposed the physical methodology of constructing unidimensional models of economic systems (Tuluzov & Мelnyk, 2010). The unidimensional space of states occurs as a consequence of the idealized assumption on the fact that in the process of exchange of a valuables A for B, B for C and C for A the following ratio is valid:
(1) where the symbol
determines the result of measurement – the quantitative proportion of exchange of valuables A for valuables B. This assumption can be conditionally interpreted as a statement – “everything is measured only in money”. Actually, if a fixed value in conventional units (money) is set for each valuable item, then it determines the proportions of its exchange for any other valuables. In this case, the ratio (1) is obvious. At the same time, in real economy it can be violated. Moreover, violation of this ratio actually represents the stimulus of every transaction! Each participant of the transaction assumes that his actions will be eventually profitable. At the same time, it becomes possible only in case of transition to the multidimensional space of states, in which each of the proprietors relies upon his own scale of values in the process of decision-making. In this case, in order that the transaction takes place, the two inequalities must be satisfied:
(2) where
and
are the units of the scale of values of the proprietors А and В, respectively. It follows from these inequalities that the values A and B cannot be considered as scalars and that the proportions of exchange of two valuable items in a certain transaction can depend on the preferences of the participants of the transaction. Let us note that the main task of the present paper is not so much a formal generalization of the unidimensional space of economic states into a multidimensional state, but rather finding economic analogs of simple mechanical models and notions. The developed instruments of modeling will further allow analyzing the dynamics of complex real economic systems.