دانلود مقاله ISI انگلیسی شماره 5869
عنوان فارسی مقاله

اقتصاد خرد شبه کوانتومی : مدل آماری توزیع سرمایه گذاری و تولید

کد مقاله سال انتشار مقاله انگلیسی ترجمه فارسی تعداد کلمات
5869 2008 18 صفحه PDF سفارش دهید 1879 کلمه
خرید مقاله
پس از پرداخت، فوراً می توانید مقاله را دانلود فرمایید.
عنوان انگلیسی
Quantum-like microeconomics: Statistical model of distribution of investments and production
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Physica A: Statistical Mechanics and its Applications, Volume 387, Issue 23, 1 October 2008, Pages 5826–5843

کلمات کلیدی
- ’ ’ - ö’ احتمال - رفتار مانند کوانتومی - حکومت متولد - تداخل احتمالات - نقض نابرابری بل - نمایندگی متغیرها به صورت اپراتورهای خود الحاقی غیر جابجایی کلی - پویایی های شرودینگر - اقتصاد خرد - تولید - سرمایه گذاری - نرخ بازگشت - انرژی مالی
پیش نمایش مقاله
پیش نمایش مقاله اقتصاد خرد شبه کوانتومی : مدل آماری توزیع سرمایه گذاری و تولید

چکیده انگلیسی

In this paper we demonstrate that the probabilistic quantum-like (QL) behavior–the Born’s rule, interference of probabilities, violation of Bell’s inequality, representation of variables by in general noncommutative self-adjoint operators, Schrödinger’s dynamics–can be exhibited not only by processes in the micro world, but also in economics. In our approach the QL-behavior is induced not by properties of systems. Here systems (commodities) are macroscopic. They could not be superpositions of two different states. In our approach the QL-behavior of economical statistics is a consequence of the organization of the process of production as well as investments. In particular, Hamiltonian (“financial energy”) is determined by rate of return.

مقدمه انگلیسی

Originally the mathematical formalism of quantum mechanics was developed to serve physical theory of processes in the micro world. However, recently there has been a lot of interest in applications of this mathematical formalism to macroscopic systems and even outside the domain of physics, e.g., in finances, economics, and psychology [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22] and [23], see also [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37] and [38]. From the outset we emphasize that one should sharply distinguish between the mathematical formalism of quantum mechanics and quantum mechanics by itself (as a physical theory). Therefore we are discussing not “applications of quantum mechanics” e.g. in finances or economics, but applications of the quantum mathematical apparatus. To distinguish between the really physical quantum models and other models which might be described by the quantum mathematical apparatus, we shall use the terminology “quantum-like” (QL) for the latter case, instead of “quantum”. We consider the calculus of quantum probabilities as one of the main distinguishing features of the quantum mathematical apparatus. The crucial point of quantum probability theory is the Born’s rule for calculation of probabilities. One of the fundamental consequences of this rule is the interference of probabilities. Another fundamental consequence is the violation of Bell’s inequality. In this paper we demonstrate that the probabilistic QL-behavior–the Born’s rule, interference of probabilities, violation of Bell’s inequality, representation of variables by in general noncommutative self-adjoint operators–can be exhibited not only by processes in the micro world, but also in economics. In our approach the QL-behavior is induced not by properties of systems. Here systems, commodities, are macroscopic. They could not be superpositions of two different states. For example, a boat or a car can be either large or small, but never in superposition

نتیجه گیری انگلیسی

We presented a quantum-like microeconomic model: probabilities are given by Born’s rule and dynamics of variables (e.g. investments) by Schrödinger’s equation. All distinguishing features of the quantum model are present in our microeconomic model: interference of probabilities, representation of variables by self-adjoint operators, violation of Bell’s inequality.

خرید مقاله
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