Mathematica for Microeconomics
- 1st Edition - January 10, 2002
- Imprint: Academic Press
- Author: John Robert Stinespring
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 6 7 0 9 6 1 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 7 4 6 7 - 7
Mathematica is the most widely available computational program available to potential buyers of the book. Mathematica for Microeconomics focuses on teaching economics, not comput… Read more
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Request a sales quoteMathematica is the most widely available computational program available to potential buyers of the book. Mathematica for Microeconomics focuses on teaching economics, not computer programming and that it devotes some space to solving equations "by hand." The author has made sure that the book is compatible with the most frequently used microeconomics textbooks on the market today. This book is designed as a supplemental tool for courses in microeconomics and mathematical economics. It shows professors and students steps to solving microeconomics problems.Readers may begin reading at any chapter, and they may use the book as a "virtual instructor" to facilitate self-learning. They will recognize some of the popular problems, which have been taken from widely-used microeconomics texts.Also included is a CD-ROM containing the Mathematica® MathReader (a viewing program similar to Adobe Acrobat) and folders specific to each chapter of the book.
@introbul:This book emphasizes economics over mathematics as it:@bul:* Presents applications of the mathematics required to solve microeconomics problems* Demonstrates the use of computational tools to domathematics* Provides discussions of the results of the problems* Stimulates users to extend the programs and perform their own comparative statics and dynamics* Provides users with tools to build their own Mathematica programs for microeconomics
Advanced undergraduate and post-graduate students in mathematical economics and microeconomics
Mathematica Overview:Introduction:Notational Conventions and Typesetting.The Kernel and Front End.Mathematica's Palettes.Character Formatting.Syntax and Basic Commands.Calculus.Linear Algebra.Algebraic Operations in Linear Algebra.Solving Equations and Assigning Results.Differential and Difference Equations.Two-Dimensional Plots.Three-dimensional Plots.Animation.Exercises.Consumer Theory:Consumer Choice and the Lagrangian Multiplier Method:The Solution Procedure.Comparative Statics- The Indirect and Direct Approach.Comparative Statics.Second-Order Conditions: the Test for the Optimum.Plotting the Optimum.Modeling Piecewise Constraints.Modeling Multiple Constraints.Exercises.Individual and Market Demand:The Solution Procedure.Plotting Individual and Aggregate Demand Curves.Plotting Engel Curves.Compensated Demand.Consumer Surplus.Exercises.Compensating and Equivalent Variation under Price and Quantity Changes:Compensating Variation with Price Change.The Solution Procedure.Creating the Plots.Equivalent Variation under Price Changes.The Solution Procedure.Creating the Plots.Compensating and Equivalent Variation under Quantity Changes.The Solution Procedures.Graphing the Solution.Animating Compensating Variation under Price Changes.Exercises.Time, Trade and Endowments:The Solution Procedure.Creating the Plots.Simple Trade Model.The Solution Procedure.Creating the Edgeworth Box.The Solution Procedure.Exercises.Choice under Uncertainty:Lottery Model Solution Procedure.Creating the Plots.The Contingent Commodity Solution Procedure.Risk Premium and the Certainty Equivalent Income.Creating the Plots.Animation.Extensions: Risk Sharing Between Consumers in a Contingent Claims Market.Full Insurance When One Consumer is Risk Neutral.Contingent Claims with Adverse Selection and Moral Hazard.Contingent Claims with Moral Hazard.Exercises.Producer Theory:Cost Minimization:The Solution Procedure.Creating the Plots.Alternative Technologies: Returns to Scale.Plotting Isocosts and Isoquants.Exercises.Short Run vs. Long Run Costs:The Solution Procedure.Plotting the Long Run and Short Run Curves.Create Plots of Average, Marginal and Total, Short-Run and Long-Run Costs.Alternative Procedure to Derive Long Run Costs.Exercises.Duality:Part I: Tests for Duality.The Solution Procedure.Part II:.Solving the Dual.Exercises.Multiplant Production:The Solution Procedure.Finding the Production Thresholds or Switching Points.Creating the Total, Marginal, and Average Cost Functions.Supply Function.Exercises.Perfect Competition, Monopoly and Price Discrimination:Perfect Competition and Monopoly.Single Market Profit Maximization - Monopoly.Single Market Profit Maximization - Perfect Competition.Price Discrimination: Monopoly in Two Markets.Checking the Second-Order Conditions.Analysis - Comparison with Non-discrimination Case.The Case of One Monopolistic and One Competitive Market.Exercises.Linear Programming:The Algebraic Solution Procedure for the Primal.The Graphical Solution Procedure for the Primal.Solving the Dual.Exercises.Trade, Exchange and General Equilibrium:The Single-Producer/Consumer, Single-Factor, Two-Commodity Model.The Solution Procedure.Plotting Implicit and Explicit Functions.Creating the Plots.Finding Input and Output Prices.Adding an Exogenous Trading Partner.Creating Trade Triangles.Two-Country, Two-Commodity Trade.The Autarky Solution Procedure.The Solution Procedure for the Free-Trade Equilibrium.Exercises.Dynamic Optimization:Differential and Difference Equations:First-Order Differential Equations.Higher-Order Differential Equations.Discrete Modeling with Difference Equations.Exercises.Calculus of Variations:The Solution Procedure.Creating the Plots.Check of Second-Order Conditions.Monopoly Example.The Solution Procedure.Creating the Plots.Check of Second-Order Conditions.Exercises.Index.
- Edition: 1
- Published: January 10, 2002
- Imprint: Academic Press
- Language: English
- Hardback ISBN: 9780126709612
- eBook ISBN: 9780080574677
JS
John Robert Stinespring
Affiliations and expertise
Georgia Institute of Technology, Atlanta, U.S.A.