Cost function properties
Short versus long run cost
Profit maximization
General case with firm facing downward sloping demand
Price taking firm
The input perspective
❑ Income and substitution effects • Income and substitution effects. ◦The concepts of substitution and income effects: explain how changes in prices and income affect consumer choices and the quantity demanded of goods. • Marginal rate of substitution. Marginal Rate of Substitution (MRS): falls under consumer preferences and trade-offs between goods. The MRS is a key element in understanding consumer preferences
❑ Expenditure minimisation ❑ Slutsky equation◦Slutsky Equation: decomposes price effects into income and substitution effects, further clarifying consumer responses to price changes. ❑ Engel aggregation. Cournot aggregation
❑ Consumer surplus
•normal and inferior goods.
• Demand relationships among goods. Demand Functions: Understanding Marshallian and Hicksian demand.
Isoquants and RTS
Returns to scale
Elasticity of substitution
Technical progress
Economic versus accounting cost
Cost minimizing input choices
❑ Elasticity
❑ Homogeneous functions
❑ Utility functions: concept and examples. ❑ Utility maximisation under budget constraint•Axioms of rational choice, concept of utility
Production Functions .......................................................................................................... 303 Marginal Productivity 303
Isoquant Maps and the Rate of Technical Substitution 306 Returns to Scale 310
The Elasticity of Substitution 313
Four Simple Production Functions 316
Technical Progress 320 Summary 324
Problems 325
Suggestions for Further Reading 328 Extensions: Many-Input Production Functions 329 Cost Functions...................................................................................................................... 333 Definitions of Costs 333
Cost-Minimizing Input Choices 336
Cost Functions 341
Cost Functions and Shifts in Cost Curves 345 Shephard’s Lemma and the Elasticity of Substitution 355 Short-Run, Long-Run Distinction 355 Summary 362
Problems 363
Suggestions for Further Reading 366 Extensions: The Translog Cost Function 367 ◦Marginal product: relates to the efficiency of inputs in producing output, a core concept in production theory.
◦Returns to scale: indicates how output changes when all inputs are increased proportionally, reflecting the nature of the production function.
◦Isoquants: show combinations of inputs that yield the same output, illustrating the trade-offs firms face in production.
◦Deriving input demand functions from cost minimisation: Deriving input demand functions from cost minimisation is a core element of the supply and production side of microeconomics.
◦Using comparative statics to assess the impact of changes in different variables: The results of this discussion can be summarized by the following principle.
•Game theory. Basics
Profit Maximization ............................................................................................................. 371 The Nature and Behavior of Firms 371
Profit Maximization 373
Marginal Revenue 375
Short-Run Supply by a Price-Taking Firm 380 Profit Functions 383 Profit Maximization and Input Demand 389 Summary 395
Problems 396
Suggestions for Further Reading 400 Extensions: Boundaries of the Firm 401 Production Functions .......................................................................................................... 303 Marginal Productivity 303
Isoquant Maps and the Rate of Technical Substitution 306 Returns to Scale 310
The Elasticity of Substitution 313
Four Simple Production Functions 316
Technical Progress 320 Summary 324
Problems 325
Suggestions for Further Reading 328 Extensions: Many-Input Production Functions 329 Cost Functions...................................................................................................................... 333 Definitions of Costs 333
Cost-Minimizing Input Choices 336
Cost Functions 341
Cost Functions and Shifts in Cost Curves 345 Shephard’s Lemma and the Elasticity of Substitution 355 Short-Run, Long-Run Distinction 355 Summary 362
Problems 363
Suggestions for Further Reading 366 Extensions: The Translog Cost Function 367 Mathematics for Microeconomics...................................................................................... 21 Maximization of a Function of One Variable 21 Functions of Several Variables 26
Maximization of Functions of Several Variables 33 The Envelope Theorem 35 Constrained Maximization 39
Envelope Theorem in Constrained Maximization Problems 45 Inequality Constraints 46
Second-Order Conditions and Curvature 48 Preferences and Utility......................................................................................................... 89 Axioms of Rational Choice 89 Homogeneous Functions Integration 58 Dynamic Optimization Mathematical Statistics Utility 90
Trades and Substitution 92
The Mathematics of Indifference Curves 99 Utility Functions for Specific Preferences 102 The Many-Good Case 106 Summary 106
Problems 107
Suggestions for Further Reading 110 Extensions: Special Preferences 112 Utility Maximization and Choice....................................................................................... 117 An Initial Survey 118
The Two-Good Case: A Graphical Analysis 119 The n-Good Case 122
Indirect Utility Function 128
The Lump Sum Principle 129
Expenditure Minimization 131
Properties of Expenditure Functions 134 Summary 136
Problems 136
Suggestions for Further Reading 140 Extensions: Budget Shares 141 Income and Substitution Effects ....................................................................................... 145 Demand Functions 145
Changes in Income 147
Changes in a Good’s Price 149
The Individual’s Demand Curve 152
Compensated (Hicksian) Demand Curves and Functions 155
A Mathematical Development of Response to Price Changes 160 Demand Elasticities 163 Consumer Surplus 169
Revealed Preference and the Substitution Effect 174 Summary 176
Problems 177
Suggestions for Further Reading 180 Extensions: Demand Concepts and the Evaluation of Price Indices 181 Demand Relationships among Goods............................................................................... 187 The Two-Good Case 187
Substitutes and Complements 189
Net (Hicksian) Substitutes and Complements 191 Substitutability with Many Goods 193
Composite Commodities 193
Home Production, Attributes of Goods, and Implicit Prices 197 Summary 200
Problems 200
Suggestions for Further Reading 203 Extensions: Simplifying Demand and Two-Stage Budgeting 204 buy calculator! asta, library, kaufland, and google maybe :D