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Mathematics For Stability And Optimization Of Economic Systems


Mathematics For Stability And Optimization Of Economic Systems
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Mathematics For Stability And Optimization Of Economic Systems


Mathematics For Stability And Optimization Of Economic Systems
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Author : Yasuo Murata
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Mathematics For Stability And Optimization Of Economic Systems written by Yasuo Murata and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.


Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability aspects and optimization methods relevant to various economic systems. This book presents relevant mathematical theorems sufficient to develop important economic systems, including Leontief input–output systems, Keynesian dynamic models, the Ramsey optimal accumulation systems, and von Neumann expanding economic systems. Organized into two parts encompassing nine chapters, this book begins with an overview of useful theorems on matrices, eigenvalue problems, and matrices with dominant diagonals and P-matrices. This text then explores the linear transformations on vector spaces. Other chapters consider the Hawkins–Simon theorem concerning non-negative linear systems. This book discusses as well the dual linear relations and optimization methods applicable to inequality economic systems. The final chapter deals with powerful optimal control method for dynamical systems. This book is a valuable resource for mathematicians, economists, research workers, and graduate students.



Lectures On Mathematics For Economic And Financial Analysis


Lectures On Mathematics For Economic And Financial Analysis
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Author : Giorgio Giorgi
language : en
Publisher: Springer Nature
Release Date : 2025-03-21

Lectures On Mathematics For Economic And Financial Analysis written by Giorgio Giorgi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-21 with Mathematics categories.


This book offers a comprehensive yet approachable introduction to essential mathematical concepts, tailored specifically for undergraduate and first-year graduate students in Economics and Social Sciences. Based on lectures delivered at the University of Pavia's Department of Economics and Management, and also in UNED’ Department of Applied Mathematics in Madrid, it aims to equip students with the mathematical tools necessary to better understand their courses in economics and finance, where math is applied directly. Unlike texts focused on formalized topics like Mathematical Economics or Operations Research, this book presents basic mathematical principles and methods that are immediately relevant to students. With a clear, accessible approach, it includes numerous examples, some with economic applications, to illustrate key concepts and make them easier to grasp. The authors have carefully chosen proofs that are straightforward and beneficial for students to encounter, offering an introduction to important proof techniques without overwhelming complexity. The book also provides a select bibliography, allowing readers to explore topics in greater depth if desired. Drawing on years of teaching experience, the authors have created a valuable resource that serves as both a foundation and a practical guide for students navigating the mathematical aspects of economics and social science courses.



Monetary Macrodynamics


Monetary Macrodynamics
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Author : Toichiro Asada
language : en
Publisher: Routledge
Release Date : 2012-11-12

Monetary Macrodynamics written by Toichiro Asada and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Business & Economics categories.


This book investigates the interaction of effective goods demand with the wage-price spiral, and the impact of monetary policy on financial and the real markets from a Keynesian perspective. Endogenous business fluctuations are studied in the context of long-run distributive cycles in an advanced, rigorously formulated and quantitative setup. The material is developed by way of self-contained chapters on three levels of generality, an advanced textbook level, a research-oriented applied level and on a third level that shows how the interaction of real with financial markets has to be modelled from a truly integrative Keynesian perspective. Monetary Macrodynamics shows that the balanced growth path of a capitalist economy is unlikely to be attracting and that the cumulative forces that surround it are controlled in the large by changes in the behavioural factors that drive the wage-price spiral and the financial markets. Such behavioural changes can in fact be observed in actual economies in the interaction of demand-driven business fluctuations with supply-driven wage and price dynamics as they originate from the conflict over income distribution between capital and labour. The book is a detailed critique of US mainstream macroeconomics and uses rigorous dynamic macro-models of a descriptive and applicable nature. It will be of particular relevance to postgraduate students and researchers interested in disequilibrium processes, real wage feedback channels, financial markets and portfolio choice, financial accelerator mechanisms and monetary policy.



The Export Import Bank


The Export Import Bank
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Author : David P. Baron
language : en
Publisher: Academic Press
Release Date : 2014-05-10

The Export Import Bank written by David P. Baron and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.


The Export—Import Bank: An Economic Analysis provides a critical analysis of the export financing issue and the Eximbank's performance in fulfilling its congressional mandate. The analysis is based on extensive interviews with Eximbank officials and on numerous internal documents in addition to published materials. This book is composed of 11 chapters that reflect the three perspectives on Eximbank's performance. First, an analysis of the need for such financing is presented in conjunction with an assessment of the competitiveness of U.S. programs compared with those provided by other nations. Second, Eximbank performance is evaluated in terms of the cost of its programs, their potential welfare impacts, and the likely impact on U.S. exports. Third, an evaluation is provided of the Eximbank's decision making and its methodology for evaluating the impact of its direct credit program. Recommendations are made concerning U.S. export financing objectives, strategies for achieving those objectives, and Eximbank administrative procedures. This work also provides an economic analysis of Eximbank financing and includes a case study of Eximbank decision making in the granting of a $200 million aircraft credit to Ansett Airlines of Australia. This book will prove useful to those who are interested in international trade and finance, as well as those concerned more broadly with government intervention in markets.



Introduction To Mathematical Economics


Introduction To Mathematical Economics
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Author : M.C. Kemp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Mathematical Economics written by M.C. Kemp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


Our objectives may be briefly stated. They are two. First, we have sought to provide a compact and digestible exposition of some sub-branches of mathematics which are of interest to economists but which are underplayed in mathematical texts and dispersed in the journal literature. Second, we have sought to demonstrate the usefulness of the mathematics by providing a systematic account of modern neoclassical economics, that is, of those parts of economics from which jointness in production has been excluded. The book is introductory not in the sense that it can be read by any high-school graduate but in the sense that it provides some of the mathematics needed to appreciate modern general-equilibrium economic theory. It is aimed primarily at first-year graduate students and final-year honors students in economics who have studied mathematics at the university level for two years and who, in particular, have mastered a full-year course in analysis and calculus. The book is the outcome of a long correspondence punctuated by periodic visits by Kimura to the University of New South Wales. Without those visits we would never have finished. They were made possible by generous grants from the Leverhulme Foundation, Nagoya City University, and the University of New South Wales. Equally indispensible were the expert advice and generous encouragement of our friends Martin Beckmann, Takashi Negishi, Ryuzo Sato, and Yasuo Uekawa.



Economic Dynamics Methods And Models


Economic Dynamics Methods And Models
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Author : G Gandolfo
language : en
Publisher: Elsevier
Release Date : 1971-01-01

Economic Dynamics Methods And Models written by G Gandolfo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Technology & Engineering categories.


Economic Dynamics: Methods and Models aims to give a simple but comprehensive treatment of mathematical methods used in economic dynamics and show how they are utilized to build and to analyze dynamic models. The text also focuses on methods, and every mathematical technique introduced is followed by its application to selected models. The book is divided into three different parts. Part I: Different Equations discusses general principles; first-order, second-order, higher-order equations; simultaneous systems; and their economic applications. Part II: Differential Equations also discusses the same areas as those in Part I, but instead features differential equations, as what the section name suggests. Part III: More Advanced Material covers comparative statistics and the comparative principle; stability of equilibrium and Liapunov's second method; and linear mixed differential and difference equations, as well as its other related topics. The text is recommended for mathematicians and economists who have an idea on advanced mathematics and would like to know more about its applications in economics.



Game Theory For Economic Analysis


Game Theory For Economic Analysis
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Author : Tatsuro Ichiishi
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Game Theory For Economic Analysis written by Tatsuro Ichiishi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.


Game Theory for Economic Analysis



Noncooperative Approaches To The Theory Of Perfect Competition


Noncooperative Approaches To The Theory Of Perfect Competition
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Author : Andreu Mas-Colell
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Noncooperative Approaches To The Theory Of Perfect Competition written by Andreu Mas-Colell and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.


Economic Theory, Econometrics, and Mathematical Economics: A Series of Monographs and Textbooks: Noncooperative Approaches to the Theory of Perfect Competition focuses on the application of noncooperative approaches to the theory of perfect competition, including Cournot game, no-surplus condition, and Nash equilibria. The selection first elaborates on collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives and noncooperative price taking in large dynamic markets. Discussions focus on noncooperative equilibria which support the monopoly allocation, alternative definition of perfect epsilon-equilibrium, one-period Cournot game, fixed-demand case, and replication case. The book takes a look at noncooperative price taking in large dynamic markets, no-surplus condition as a characterization of perfectly competitive equilibrium, perfect competition, profit criterion, and the organization of economic activity. Topics include profits to individually improving welfare, structure of firms, competitive allocations as no surplus allocations, profits as rents, Walrasian and perfectly competitive equilibrium, and no-surplus and core equivalence as alternative characterizations of perfectly competitive equilibrium. The manuscript ponders on Nash equilibria of market games and efficiency properties of strategic market games, as well as commodities, agents, assignments, strategic markets games, proper and full Cournot-Nash equilibria, and finiteness and inefficiency. The selection is a valuable source of data for researchers interested in noncooperative approaches to the theory of perfect competition.



International Economics Policies And Their Theoretical Foundations


International Economics Policies And Their Theoretical Foundations
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Author : John M. Letiche
language : en
Publisher: Academic Press
Release Date : 2014-05-12

International Economics Policies And Their Theoretical Foundations written by John M. Letiche and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Business & Economics categories.


International Economics Policies and Their Theoretical Foundations: A Source Book provides information pertinent to the increasing differentiation of international economic policies among the developed and developing market economies. This book presents an analysis of fundamental principles of international economics. Organized into nine parts encompassing 33 chapters, this book begins with an overview of the certain elements of the relationship between the developing and the developed countries that the developing countries find particularly irksome. This text then analyzes the determinants of secular changes in the terms of trade and attempt to assess the influence of these changes on the development of a poor country. Other chapters consider the different concepts of the terms of trade, including the gross barter, income, net barter or commodity, and utility terms of trade. The final chapter deals with the economic scenarios for the 1980s. This book is a valuable resource for teachers, students, and government officials.



Studies In Macroeconomic Theory


Studies In Macroeconomic Theory
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Author : Edmund S. Phelps
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Studies In Macroeconomic Theory written by Edmund S. Phelps and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Political Science categories.


Studies in Macroeconomic Theory, Volume 1: Employment and Inflation is a collection of scholarly papers that accounts the development of a microeconomic theory of wage and price decisions and commitments. The book presents some features of the modern inflationary process and makes sense of some still accepted elements in the postclassical macroeconomics of Keynes and Phillips. The papers in this volume are grouped into seven sections. Part I describes disequilibrium models of employment. Part II gives closer scrutiny to the idea of the "natural" rate of unemployment. Part III studies the welfare economics of inflation in an equilibrium context. The fourth part deals with inflation planning. The papers in Part V discuss hypotheses about the causes of the rise in the rate of inflation in two historical episodes: the American inflation between 1955 - 1957 and 1972 - 1974. Part VI addresses some questions in the theory of economic stabilization by monetary and fiscal policy. The final section of this volume attempts to apply to matters of stochastic social choice, stabilization policy being one instance of such a choice, the conception of justice advanced by Rawls. The compendium will be of value to economists and economic policy makers.