Mathematics in Economics
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9780648271727, 9780648271727

Author(s):  
Елизавета Синдицкая ◽  
Elizaveta Sinditskaya

This article provides an analysis of the simultaneous process of solving a pair of direct and dual problems; on the part of the possible and potential use, an analysis is given of the need for a task. On the basis of the direct (initial problem), a study is carried out to construct and then find a solution to the dual problem.1


Author(s):  
Анна Конозова ◽  
Anna Konozova ◽  
Елизавета Синдицкая ◽  
Elizaveta Sinditskaya ◽  
Медея Шатиришвили ◽  
...  

In this article production function of Kobb-Douglas is considered. The history of this mathematico-economic indicator is given and need of its practical application is proved. The analysis of basic provisions concerning function is given, its components are characterized. The task proving simplicity and usefulness of application of function is solved.


Author(s):  
Медея Шатиришвили ◽  
Medeya Shatirishvili ◽  
Ксения Элизбарова ◽  
Kseniya Elizbarova

This article will discuss conflict situations and simplified conflict — game models. The list of types of games is given and one of types, namely matrix games is in detail considered. The analysis of the main provisions of matrix games is given, its components are characterized. The article presents a solution to the problem, which shows the simplicity and usefulness of matrix games.


Author(s):  
Анна Конозова ◽  
Anna Konozova ◽  
Елизавета Синдицкая ◽  
Elizaveta Sinditskaya ◽  
Медея Шатиришвили ◽  
...  

In this article the model of economic growth of Harrod-Domar is considered. Positions of model of a role of investments of Domar and model of the features of the market of the benefits of Harrod are provided in a separate economic section. By means of model the task is solved that reflects not only theoretical, but also practical usefulness of its application. Conclusions as a result of the analysis of model are drawn.


Author(s):  
Анна Конозова ◽  
Anna Konozova

In this article the classical model of economic growth of R. Solow is considered. An assessment of sizes of parameters for achievement of steady state of the economy is given. The analysis of the solution of a task by means of model is carried out.


Author(s):  
Медея Шатиришвили ◽  
Medeya Shatirishvili

This article compares the structural optimization method and the simlex method used in solving linear programming problems. The characteristic of each method is given and the analysis of algorithm of the solution of problems by means of these techniques is carried out. The problem showing advantages of one of the methods is solved.


Author(s):  
Мария Цвиль ◽  
Mariya Tsvil ◽  
Алла Поливанова ◽  
Alla Polivanova ◽  
Ксения Полянина ◽  
...  

The article obtained econometric models of time series in terms of imports of the Republic of Belarus according to quarterly data in the period from 2013 to 2018. Exponential smoothing model and multiplicative model are constructed. Also, a forecast was made of import volumes in terms of value for the 4th quarter of 2018.


Author(s):  
Олег Кудрявцев ◽  
Oleg Kudryavtsev ◽  
Кирилл Мозолев ◽  
Kirill Mozolev ◽  
Артур Чивчян ◽  
...  

The article presents an econometric analysis of the effect of stock indicators, such as Comex Gold futures, Dow Jones Industrial Average index and NASDAQ Composite, on the Ethereum cryptocurrency dynamics in the 100-day period. As part of the study, an econometric model of the dynamics of e-currency was built. The survey results show that when the Comex gold futures price changes by 1% on average, the Ethereum price changes by 5.01% in the same direction, when the Dow Jones Industrial Average index changes by 1%, the Ethereum price is 10.897%, and when the NASDAQ Composite index changes, the Ethereum price will change in the opposite direction to 3.59%


Author(s):  
Анастасия Медведева ◽  
Anastasiya Medvedeva ◽  
Анастасия Рыжкова ◽  
Anastasia Ryzhkova

The article discusses the phased construction of a regression model for the main sources of financing investments in fixed capital of the Southern Federal District. The authors have compiled an assessment of the significance of the regression model obtained and also analyzed the results in terms of investment returns and effectiveness within the framework of the regional testing


Author(s):  
Яна Бугримова ◽  
Yana Bugrimova

The article presents the algorithm for the analysis of econometric indicators of the customs authorities, the factors affecting the appropriate indicators have been revealed. The main methods of calculations on the example of individual indicators are given. These factors allowed to draw a conclusion based on the given data. The econometric model for export and import was built and a forecast was made based on the analysis of data for 2011 – 2017.


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