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Economics - Game Theory / Mathematical Methods | Mathematical Economics - Basic Concepts and Patterns

Mathematical Economics

Basic Concepts and Patterns

Rai, Birendra, Angus, Simon

2014, Approx. 125 p. 20 illus.

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ISBN 978-3-642-37024-3

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  • About this book

  • Clear description of how any mathematical concept is constructed starting with an unstructured set
  • Clarifies the common patterns across mathematical concepts and results
  • Provides an intuitive explanation of the concepts and results most often used in microeconomics​
This book explains the basic structure and patterns across mathematical concepts and results which is required to efficiently read and understand papers in economics that involve mathematics. It also illustrates the usefulness of understanding these patterns with the help of several applications which are detailed in the book. The reader is guided through the language of mathematics, basic mathematical concepts, structure to construction of a theoretical model, until the method to read, understand and analyze any research article. Handy examples from most common economic theories and models, assist the reader to understand the process in a easy-yet-sound manner. The exposition is intuitive allowing the brief to be included on the reading list for any graduate or advanced undergraduate course in economics and related social sciences. This book should also be of interest to any economist or social scientist who does not specialize in mathematical economics.  ​

Content Level » Graduate

Keywords » Linear Structure - Mathematical Economics - Order Structure - Set Theory - Topology

Related subjects » Applications - Economic Theory - Game Theory / Mathematical Methods - Mathematics - Microeconomics / Industrial Organization

Table of contents 

.- Where does it all start?. .- What are the alphabets of mathematics?. .- From unstructured sets to structured sets, via structuring tools. .- What are the main structured sets used in economics?.   .- Order structure.   .- What does it take to define a line?.   .- From a function to a continuous function?.   .- Properties of functions and correspondences.   .- The language of lemmas, propositions, theorems, and corollaries.   .- Reading and questioning a result.   .- The brief, in brief.     ​

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