Calculus and Techniques of Optimization with Microeconomic Applications

Calculus and Techniques of Optimization with Microeconomic Applications
Author: John Hoag
Publisher: World Scientific
Total Pages: 389
Release: 2008
Genre: Mathematics
ISBN: 9812774939

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics. A substantial portion of the mathematical tools required for the study of microeconomics at the graduate level is covered, in addition to the standard elements of microeconomics and various applications. Theorems and definitions are clearly explained with numerous exercises to complement the text and to help the student better understand and master the principles of mathematical economics.

Calculus And Techniques Of Optimization With Microeconomic Applications

Calculus And Techniques Of Optimization With Microeconomic Applications
Author: John H Hoag
Publisher: World Scientific Publishing Company
Total Pages: 389
Release: 2007-12-18
Genre: Mathematics
ISBN: 9813107065

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics. A substantial portion of the mathematical tools required for the study of microeconomics at the graduate level is covered, in addition to the standard elements of microeconomics and various applications. Theorems and definitions are clearly explained with numerous exercises to complement the text and to help the student better understand and master the principles of mathematical economics.

Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory
Author: Michael D. Intriligator
Publisher: SIAM
Total Pages: 515
Release: 2002-01-01
Genre: Mathematics
ISBN: 0898715113

A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Economic Models for Managing Cloud Services

Economic Models for Managing Cloud Services
Author: Sajib Mistry
Publisher: Springer
Total Pages: 154
Release: 2018-02-10
Genre: Computers
ISBN: 3319738763

The authors introduce both the quantitative and qualitative economic models as optimization tools for the selection of long-term cloud service requests. The economic models fit almost intuitively in the way business is usually done and maximize the profit of a cloud provider for a long-term period. The authors propose a new multivariate Hidden Markov and Autoregressive Integrated Moving Average (HMM-ARIMA) model to predict various patterns of runtime resource utilization. A heuristic-based Integer Linear Programming (ILP) optimization approach is developed to maximize the runtime resource utilization. It deploys a Dynamic Bayesian Network (DBN) to model the dynamic pricing and long-term operating cost. A new Hybrid Adaptive Genetic Algorithm (HAGA) is proposed that optimizes a non-linear profit function periodically to address the stochastic arrival of requests. Next, the authors explore the Temporal Conditional Preference Network (TempCP-Net) as the qualitative economic model to represent the high-level IaaS business strategies. The temporal qualitative preferences are indexed in a multidimensional k-d tree to efficiently compute the preference ranking at runtime. A three-dimensional Q-learning approach is developed to find an optimal qualitative composition using statistical analysis on historical request patterns. Finally, the authors propose a new multivariate approach to predict future Quality of Service (QoS) performances of peer service providers to efficiently configure a TempCP-Net. It discusses the experimental results and evaluates the efficiency of the proposed composition framework using Google Cluster data, real-world QoS data, and synthetic data. It also explores the significance of the proposed approach in creating an economically viable and stable cloud market. This book can be utilized as a useful reference to anyone who is interested in theory, practice, and application of economic models in cloud computing. This book will be an invaluable guide for small and medium entrepreneurs who have invested or plan to invest in cloud infrastructures and services. Overall, this book is suitable for a wide audience that includes students, researchers, and practitioners studying or working in service-oriented computing and cloud computing.

Dynamic Optimization, Second Edition

Dynamic Optimization, Second Edition
Author: Morton I. Kamien
Publisher: Courier Corporation
Total Pages: 402
Release: 2013-04-17
Genre: Mathematics
ISBN: 0486310280

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists
Author: Angel de la Fuente
Publisher: Cambridge University Press
Total Pages: 630
Release: 2000-01-28
Genre: Business & Economics
ISBN: 9780521585293

A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Optimization by Vector Space Methods

Optimization by Vector Space Methods
Author: David G. Luenberger
Publisher: John Wiley & Sons
Total Pages: 348
Release: 1997-01-23
Genre: Technology & Engineering
ISBN: 9780471181170

Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Mathematical Analysis and Optimization for Economists

Mathematical Analysis and Optimization for Economists
Author: Michael J. Panik
Publisher: CRC Press
Total Pages: 343
Release: 2021-09-30
Genre: Mathematics
ISBN: 1000408841

In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.

Mathematica for Microeconomics

Mathematica for Microeconomics
Author: John Robert Stinespring
Publisher: Gulf Professional Publishing
Total Pages: 248
Release: 2002-01-10
Genre: Business & Economics
ISBN: 9780126709612

Accompanying CD-ROM contains ... "the Mathematica programs discussed in the book and MathReader software (a viewing program from Wolfram, Inc.)."--Page 4 of cover.

Applications of Mathematics in Economics

Applications of Mathematics in Economics
Author: Warren Page
Publisher: MAA
Total Pages: 154
Release: 2013
Genre: Business & Economics
ISBN: 088385192X

Shows instructors what mathematics is used at the undergraduate level in various parts of economics. Separate sections provide students with opportunities to apply their mathematics in relevant economics contexts. Brings together many different mathematics applications to such varied economics topics.