Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Peren Theorem - The Mathematical...

The objective of this paper is to propose an analytical framework to examine the foundations of the theory of efficient growth. The theory of efficient growth is a newly developed theory based on the principles of the neoclassical framework. It argues that an economy grows efficiently under two...

The objective of this paper is to propose an analytical framework to examine the foundations of the theory of efficient growth. The theory of efficient growth is a newly developed theory based on the principles of the neoclassical framework. It argues that an economy grows efficiently under two...

1. Compound Interest Rate -- 2. The Normal Distribution -- 3. Ordinary Least Squares -- 4. Production Function and TFP -- 5. Profit Rate -- 6. General Equilibrium -- 7. Input Output Analysis -- 8. Break-Even Point -- 9. The Fisher Equation -- 10. Net Present Value -- 11. Income Accounting...

Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Perem Theorem - The Mathematical...

1. Modeling -- 2. Sensitivity Analysis -- 3. Indexed Sensitivity Analysis -- 4. Scenario Analysis -- 5. Simulation Analysis -- 6. Customized Input Distributions -- 7. Decision Analysis – Expected Value Maximization -- 8. Decision Analysis – Advanced Topic -- 9. Optimization: Decisions With...

An Overview of RBC models -- Dynare Foundations: solving and simulating DSGE models -- RBC model with analytical solution -- RBC model with constant labor -- RBC model with variable labor -- RBC model with shock to investment and variable use of capital -- Small Open Economy RBC -- Dynamic...

Vorwort -- 1. Mathematische Zeichen und Symbole -- 2. Logik -- 3. Arithmetik -- 4. Algebra -- 5. Lineare Algebra -- 6. Kombinatorik -- 7. Finanzmathematik -- 8. Optimierung linearer Modelle -- 9. Funktionen -- 10. Differentialrechnung -- 11. Integralrechnung -- 12. Elastizitäten -- 13....

Mathematical Signs and Symbols -- Logic -- Arithmetic -- Algebra -- Linear Algebra -- Combinatorics -- Financial Mathematics -- Optimisation of Linear Models -- Functions -- Differential Calculus -- Integral Calculus -- Elasticities -- Economic Functions -- The Peren Theorem - The Mathematical...

This paper proposes an analytic representation of perturbations in heterogeneous agent economies with aggregate shocks. Treating the underlying distribution as an explicit state variable, a single value function defined on an infinite-dimensional state space provides a fully recursive...

Chapter 1. Preliminaries -- Chapter 2. Topology -- Chapter 3. Metric Spaces -- Chapter 4. Normed Spaces -- Chapter 5. Sequences and Series -- Chapter 6. Differential Calculus of functions of one variable -- Chapter 7. Functions of several variables -- Chapter 8. Integral Calculus -- Chapter 9....

1. Introduction -- 2. Basic Statistics and Functions using R -- 3. Regression Fundamentals -- 4. Simple Linear Regression -- 5. Multiple Regression -- 6. Estimation Intervals and Analysis of Variance -- 7. Predictor Variable Transformations -- 8. Model Diagnostics -- 9. Variable Selection.

Chapter 1. Introduction -- Part I -- Chapter 2. Production Economics and Economic Efficiency (Mónica Meireles) -- Chapter 3. Data Envelopment Analysis: A Review and Synthesis (Ana S. Camanho) -- Chapter 4. Stochastic Frontier Analysis: A Review and Synthesis (Mara Madaleno) -- Part II --...

Mathematik ist ein wichtiger methodischer Bestandteil im wirtschaftswissenschaftlichen Studium an Universitäten, Hochschulen sowie Berufsakademien. Schließlich stellt die Mathematik Modelle zur Beschreibung wirtschaftswissenschaftlicher Erscheinungen bereit, so dass komplexe Zusammenhänge...

Before the use of mathematics in economics was generalized, mathematical and nonmathematically trained economist lived together. This paper studies this period of cohabitation. By focusing on the communication challenges between these two groups during the 1940s, 1950s, and 1960s, a watershed...

Matrices, their products, linear systems, and the underlying geometric ideas are presented in an intuitive and practical way for economics students and other students of the social sciences. Python Jupyter notebooks are used to present examples that enforce the geometric ideas

Before the use of mathematics in economics was generalized, mathematical and nonmathematically trained economist lived together. This paper studies this period of cohabitation. By focusing on the communication challenges between these two groups during the 1940s, 1950s, and 1960s, a watershed...

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply...

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders....

This 150-page long book consists of 18 chapters and presents several dozens mathematical-economic models. One part consists of well-known models but the other models come from the author's research, mainly on pension economics. The book is written for readers who have a high-school education...

A fundamental assumption in most of economic modeling is that people maximize their utility subject to a budget constraint. This, as well as many other economic problems, mathematically translate into problems of maximization with constraints. A powerful and widely used method to tackle some of...

In this paper we present some elements of calculus for economics: the chain rule and extended chain rule for calculation of derivatives of composite functions, and differentiation of functions defined implicitly. The emphasis, as always in this series, is in providing a pedagogical, intuitive...

This 150-page long book consists of 18 chapters and presents several dozens mathematical-economic models. One part consists of well-known models but the other models come from the author's research, mainly on pension economics. The book is written for readers who have a high-school education...

This volume is a monograph on the geometric structure of a certain class of ("comprehensive") compact polyhedra called Cephoids. A Cephoid is a Minkowski sum of finitely many standardized simplices. The emphasis rests on the Pareto surface of Cephoids which consists of certain translates of...

Mathematische Methoden und Anwendungen haben einen festen Stellenwert in der Wirtschaftstheorie und -praxis. Finanz- und wirtschaftsmathematische Kenntnisse sind zwingend erforderlich, um den Anforderungen in Studium und Beruf zu genügen. Für Studierende der Wirtschaftswissenschaften stellt...

1. Introduction to R -- 2. Linear Algebra -- 3. Functions of one variable -- 4. Dierential Calculus -- 5. Integral Calculus -- 6. Multivariable Calculus -- 7. Constrained Optimization -- 8. Trigonometry -- 9. Complex numbers -- 10. Difference equations -- 11. Differential equations.

Mathematical foundations 1 -- Mathematical foundations 2 -- Mathematical foundations 3 -- Mathematical foundations 4 -- Global and local extrema of real-valued functions -- Global extrema of real-valued functions -- Local extrema of real-valued functions -- Convex and concave real-valued...

Preface AuthorSymbols and Abbreviations 1. Mathematical Foundations 1 2. Mathematical Foundations 2 3. Mathematical Foundations 3 4. Mathematical Foundations 4 5. Global and Local Extrema of Real-Valued Functions 6. Global Extrema of Real-Valued Functions 7. Local Extrema of Real-Valued...

PART I Static Games -- Noncooperative Games -- Cooperative Games -- PART II Deterministic Dynamic Games -- Multistage Games -- Sustainability of Cooperation in Dynamic Games -- PART III Dynamic Games Played Over Event Trees -- Noncooperative DGPET -- Node-Consistent Single-Valued Solutions in...

Introduction -- 1. Luigi Amoroso's early contributions -- 2. The birth of microeconomics. The Lezioni of 1921 -- 3. The ideological turn: Amoroso as corporatist economist -- 4. Amoroso and the first revolution of imperfect competition -- 5. From Fisher to Keynes. A mathematical business cycle...