By ΠΠ°Π΅Π² Π.Π. , β¦
Π Π½Π°ΡΡΠΎΡΡΠ΅ΠΌ ΡΡΠ΅Π±Π½ΠΎΠΌ ΠΏΠΎΡΠΎΠ±ΠΈΠΈ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ Π°ΠΊΡΡΠ°Π»ΡΠ½ΡΠ΅ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΠΌΠΈΠΊΡΠΎΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΠΊΠ°ΠΊ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΠΏΠΎΡΡΡΠΎΠ΅Π½Π° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΎ-ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡ (ΡΠΈΡΠΌΡ) Π² Π²ΠΈΠ΄Π΅ ΡΠΈΡΡΠ΅ΠΌΡ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ ΡΠ°Π·Π½ΠΎΡΡΠ½ΡΡ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ, ΠΎΠΏΠΈΡΡΠ²Π°ΡΡΠΈΡ Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Ρ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ , ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ ΠΈ ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΡΡ ΠΏΠΎΡΠΎΠΊΠΎΠ² Π²Π½ΡΡΡΠΈ ΡΠΈΡΠΌΡ, ΠΈΡ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π²ΠΎ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ ΠΈ Π²ΠΎΠ·Π΄Π΅ΠΉΡΡΠ²ΠΈΠ΅ ΡΡΠ½ΠΊΠ° Π½Π° ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΈΡΠΌΡ. Π€ΠΎΡΠΌΡΠ»ΠΈΡΡΡΡΡΡ ΠΈ ΡΠ΅ΡΠ°ΡΡΡΡ Π·Π°Π΄Π°ΡΠΈ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΈ Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ ΡΠΈΡΠΌΡ ΠΊ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡΠΌ ΡΡΠ½ΠΎΡΠ½ΠΎΠΉ ΡΡΠ΅Π΄Ρ. ΠΠ»Ρ ΡΠ»ΡΡΠ°Ρ Π½Π΅ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°Π½ΠΈΡ Π²Π΅ΠΊΡΠΎΡΠ° ΡΠΎΡΡΠΎΡΠ½ΠΈΡ ΡΠΈΡΠΌΡ ΠΈ Π΅Π΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΏΡΠΈ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡΡ ΠΎ ΠΏΡΠΈΡΠΎΠ΄Π΅ Π½Π΅ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°Π½ΠΈΡ ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΎΡΠ΅Π½ΠΈΠ²Π°Π½ΠΈΡ Π²Π΅ΠΊΡΠΎΡΠ° ΡΠΎΡΡΠΎΡΠ½ΠΈΡ ΠΈ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΠΈΡΠΌΡ. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π°Π½Π°Π»ΠΈΠ·Π°, Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ ΠΈ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΈΡΠΌ ΠΏΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΡΠΈΡΡΠ°ΡΠΈΠΈ Π½Π° ΡΡΠ½ΠΊΠ΅.
ΠΠΎΡΠΎΠ±ΠΈΠ΅ ΠΏΡΠ΅Π΄Π½Π°Π·Π½Π°ΡΠ΅Π½ΠΎ Π΄Π»Ρ ΡΡΡΠ΄Π΅Π½ΡΠΎΠ² ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ Β«ΠΡΠΈΠΊΠ»Π°Π΄Π½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°Β», Β«ΠΡΠΈΠΊΠ»Π°Π΄Π½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ° ΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠ°Β», Β«ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ Π² ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅Β» ΠΈ Π΄ΡΡΠ³ΠΈΡ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ, Π° ΡΠ°ΠΊΠΆΠ΅ Π΄Π»Ρ ΠΌΠ°Π³ΠΈΡΡΡΠΎΠ² ΠΈ Π°ΡΠΏΠΈΡΠ°Π½ΡΠΎΠ². ΠΠΈΡΠ΅ΠΊΡΠΎΡΠ° ΠΈ ΡΠΏΡΠ°Π²Π»ΡΡΡΠΈΠ΅ ΡΠΈΡΠΌ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΡΡΠΎΠΉ ΠΊΠ½ΠΈΠ³ΠΈ ΡΠΌΠΎΠ³ΡΡ ΠΎΠ·Π½Π°ΠΊΠΎΠΌΠΈΡΡΡΡ Ρ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠΎΠΌ Π΄Π»Ρ Π°Π½Π°Π»ΠΈΠ·Π°, Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ, ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΈΡΠΌΠΎΠΉ ΠΏΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΡΠΈΡΡΠ°ΡΠΈΠΈ Π½Π° ΡΡΠ½ΠΊΠ΅.
Π§ΠΈΡΠ°ΡΡ Π΄Π°Π»Π΅Π΅
<hr>This comprehensive textbook provides a thorough exploration of contemporary microeconomic theory and its practical application to enterprise management. It presents a detailed methodology for constructing an economic-mathematical model of a firm, represented as a system of non-linear difference equations. This model effectively captures the interconnectedness of information, material, and financial flows within the firm, their dynamic evolution over time, and the impact of market forces on the firm's operations.
The book delves into the formulation and solution of optimal control and adaptation problems, enabling firms to effectively respond to changes in the market environment. It addresses scenarios involving incomplete knowledge of the firm's state vector and parameters, providing solutions for optimal state estimation and parameter identification under various informational assumptions. The text also presents the results of modeling, analysis, adaptation, and optimization of firm management strategies in response to fluctuating market conditions.
This textbook is primarily intended for students pursuing degrees in Applied Mathematics, Applied Mathematics and Informatics, Mathematical Methods in Economics, and other related economic disciplines. It is also a valuable resource for master's and doctoral students. Furthermore, directors and managers of firms will find this book to be an accessible introduction to modern tools for analyzing, adapting, and managing their organizations in the face of market volatility.
In today's rapidly changing business landscape, effective enterprise management requires a deep understanding of microeconomic principles and the ability to apply them using sophisticated analytical tools. This textbook provides a comprehensive and accessible guide to these essential concepts, empowering readers to make informed decisions and drive sustainable growth. Whether you are a student, researcher, or business professional, this book will equip you with the knowledge and skills you need to succeed in the modern economy.