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buletin ştiin ific - Facultatea de Stiinte Economice - Universitatea din ...

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Some Potential Econophysics’ Mo<strong>de</strong>ls for Real Economic Convergencematured enough to allow generalized applications, their field being called sometimes Econo-Engineering.There is a real contemporary necessity for exploring the new conceptions of StatisticalPhysics and Econophysics and for using their mo<strong>de</strong>ls and concepts or theoretical <strong>de</strong>tails, asimportant explicative factors for real economic convergence. The special potentiality ofEconophysics’ mo<strong>de</strong>ls is able to reveal new prognosis more and more relevant related toconvergence of Romanian economy into the EU.4. Some potential Econophysics’ Mo<strong>de</strong>lsThe Econophysics’ mo<strong>de</strong>ls are often better than the mo<strong>de</strong>l of classical statistics, or theeconometrical mo<strong>de</strong>l. As far as the econometrical mo<strong>de</strong>l is concerned, even John MaynardKeynes had said that it couldn’t make further progress unless it invented new, better mo<strong>de</strong>ls. Inthe field of the forecasts, the progress consists in gradual improvements on the mo<strong>de</strong>ls, inchoosing new methods of mo<strong>de</strong>l optimization. In or<strong>de</strong>r for a mo<strong>de</strong>l to be able to preserve itsgenerality and value as a modality of thinking, it is necessary that it should not contain realvalues for its variable functions, because otherwise it becomes unusable. In economics,introducing figures into a mo<strong>de</strong>l conduces to annulling its value from the standpoint ofperennialness use, because the figures will not match another test. A conclusion of the thinkingspec<strong>ific</strong> to Econometry, and implicitly of that spec<strong>ific</strong> to classical statistics, could be that turninga mo<strong>de</strong>l into an exclusively quantitative formula means <strong>de</strong>stroying its usefulness as a predictioninstrument... Through generalization, the physical thinking construes the mo<strong>de</strong>l by attaching to ita constant, which is <strong>de</strong>pen<strong>de</strong>nt on the medium/environment (for instance, the Econophysics’mo<strong>de</strong>ls centred on the physical mo<strong>de</strong>l of al diffusion). Applied to the economic medium, themo<strong>de</strong>l of diffusion in the science of physics consists in <strong>de</strong>riving a retail price on the market ofpromissory notes and cert<strong>ific</strong>ates (exchanging for price “x” the stock on the economic marketcould be consi<strong>de</strong>red a random, or chance, variable among the <strong>de</strong>alers, which allows to construe,through <strong>de</strong>rivation, a diffusion mo<strong>de</strong>l on the market in question, a mo<strong>de</strong>l which is subject to therules of an equation of the type of the Brownian movement, in the case of a time-<strong>de</strong>pen<strong>de</strong>ntdistribution f (x, t), and starting from the market price in the stock):2∂ƒ ( x, t) 1 ∂ ƒ ( x,t)= ×(1)2 2∂t k ∂xThe viability of the mo<strong>de</strong>l in un<strong>de</strong>rstan<strong>din</strong>g real economic convergence consists in the variabilityof the coefficient “k 2 ” as compared to the spec<strong>ific</strong>ity of the economical medium, that is to say adistinct diffusion through activities generating GDP or net income per inhabitant, in completelydifferent economies, like “water in completely different soils with respect to structure andcomposition”. Very much as the measuring process gets us acquainted with quantum thinking,the concepts of statistical collective and ensemble, being tantamount to a number of sequences ofprobabilities and mean values of the variables of quantum physics, allow the mental associationsamong molecules or particles, and economic agents, or subjects. The world of physics thinkingcan impose to statistical thinking the probabilistic character of its forecasts, even in the case of apure statistical collective, gradually eliminating the exclusively <strong>de</strong>terministic mo<strong>de</strong>ls ofprognosis spec<strong>ific</strong> to classical statistics. Probabilistic <strong>de</strong>nsity will thus generate forecastingmo<strong>de</strong>ls based on the probabilistic thinking structured in distinct scenarios. The merit of thequantum physics, of acknowledging its limits in foreseeing future events, centring round theprinciple of uncertainty, will become familiar to statistics, as well. Statistical thinking will alsotake over, in future, the simultaneity of the states of particle or wave, from quantum statistics, inan alternative approach to the various spec<strong>ific</strong> statistical units <strong>de</strong>fined through binary states [16],[17].Other mo<strong>de</strong>ls could be distributions of the form that follows a power law as:59

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