"Scientific research" Almanac

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  EQUILIBRIUM IN STOCHASTIC OPTIMIZATION MODELS WITH ECONOMIC APPLICATIONS

  The subject of this work is the application of a linear quadratic model which is a result of the stochastic modeling process in the economic field. A dynamic economic process is modeled, which occurs in conditions described by a stochastic differential equation. The dynamics of the process is subject to jump-like changes. Such systems are known as ... The subject of this work is the application of a linear quadratic model which is a result of the stochastic modeling process in the economic field. A dynamic economic process is modeled, which occurs in conditions described by a stochastic differential equation. The dynamics of the process is subject to jump-like changes. Such systems are known as Markov jump linear systems. The target in the observed process is modeled through a functional which has to be minimized. The result is a linear quadratic stochastic model. The equilibrium search model is related to the numerical solution of a system of generalized discrete-time algebraic Riccati equations. Methods for finding the maximal solution to a system of discrete-time algebraic Riccati equations are investigated. Moreover, new methods and algorithms for computing of this maximal solution are proposed. The numerical characteristics of algorithms are analyzed in special cases of negative definite weighting matrices and indefinite weighting ones. Conclusions are derived of the applicability and efficiency of the proposed methods.

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  INSURANCE AND SOCIAL INSURANCE IN THE CONTEXT OF THE ECONOMIC PROFILE OF SOCIAL SECURITY IN A MARKET ECONOMY

  A widespread understanding connects the individual, respectively social security, too, with reaching the state of a guaranteed opportunity for meeting a particular level of socially accepted human needs in all life situations, including ones caused by contingent risks accompanying one’s daily life. Presented in such a way, this security has ... A widespread understanding connects the individual, respectively social security, too, with reaching the state of a guaranteed opportunity for meeting a particular level of socially accepted human needs in all life situations, including ones caused by contingent risks accompanying one’s daily life. Presented in such a way, this security has distinct economic dimensions. In a market economy, social insecurity of individuals increases. This brings to the foreground problems related to individuals’ security. Those who are competent to solve these problems are insurance companies, as well as pension and health insurance companies, whose activities in the outlined trend are the subject of the current research, first of its kind for the Bulgarian theory and practice.

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  ANALYSIS OF BULGARIA’S SPECIALIZATION IN THE FIELD OF FOREIGN TRADE IN AGRICULTURAL PRODUCTS

  The present survey aims to study the dynamics of the foreign trade flows of agricultural products between Bulgaria and the other EU Member States, the Balkan countries and the former members of CEFTA (until 2007). Using a methodological toolbox the author measures the degree of trade specialization of our country in the field of import and export ... The present survey aims to study the dynamics of the foreign trade flows of agricultural products between Bulgaria and the other EU Member States, the Balkan countries and the former members of CEFTA (until 2007). Using a methodological toolbox the author measures the degree of trade specialization of our country in the field of import and export of agricultural products in terms of separate product groups. In the process of research the author follows the dynamics of specialization in the field of trade in agricultural products and outlines the changes in the export and import flows resulting from various economic and political factors as well as defines the degree of effect of these changes on the economic development.