Mikulás Luptácik – författare

"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis.The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy.Key Features include:- A detailed presentation of both single-objective and multiobjective optimization;- An in-depth exposition of various applied optimization problems;- Implementation of optimization tools to improve the accuracy of various economic models;- Extensive resources suggested for further reading.This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.

This book offers a comprehensive exploration of mathematical optimization and its critical role in economic analysis. As the scarcity of resources, environmental degradation, and the effects of industrial robots and artificial intelligence (AI) become ever-pressing issues, this second edition expands on the foundational theories of static optimization to include dynamic optimization and new applications in areas such as automation and sustainability.The authors examine key concepts such as the optimal allocation of resources, the interplay between economic growth and environmental impacts, and the integration of automation in production systems. As renowned experts in the field, the authors provide a robust framework for understanding single and multi-objective optimization models as well as dynamic optimization in continuous and discrete time, emphasizing their use in qualitative analysis. This second edition offers deep insights into investment strategies and resource management over time, making it an indispensable resource for those seeking to navigate the complexities of modern economic landscapes.Ideal for graduate students, university educators, and researchers in economics, business, and operations research, this book bridges the gap between theoretical rigor and practical application. It is also a valuable resource for practitioners and students of applied mathematics interested in economic applications.

"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis.The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy.Key Features include:- A detailed presentation of both single-objective and multiobjective optimization;- An in-depth exposition of various applied optimization problems;- Implementation of optimization tools to improve the accuracy of various economic models;- Extensive resources suggested for further reading.This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.

This book includes a collection of articles that present recent developments in the fields of optimization and dynamic game theory, economic dynamics, dynamic theory of the firm, and population dynamics and non standard applications of optimal control theory. The authors of the articles are well respected authorities in their fields and are known for their high quality research in the fields of optimization and economic dynamics.