Economics D101: A Course in Economic Modeling - PowerPoint PPT Presentation

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Economics D101: A Course in Economic Modeling

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Impact on endogenous variables of changes in exogenous variables. Normative Analysis (Math) ... The last statement is a tautology, it cannot be false! ... – PowerPoint PPT presentation

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Title: Economics D101: A Course in Economic Modeling


1
Economics D10-1 A Course in Economic Modeling
  • Lecture 1 Introduction to Economic Models

2
Building and analyzing an economic model
  • Assumptions
  • Economic Agents
  • Preferences or tastes
  • Constraints they face
  • Information available
  • Economic Environment
  • Technology
  • Market and nonmarket institutions
  • Selection of endogenous and exogenous variables
  • Logical Analysis (Math)
  • Characterization of economic outcomes
  • Optimizing systems
  • Equilibrium systems
  • Positive, Comparative Statics Analysis (Math)
  • Testable (refutable) hypotheses
  • Impact on endogenous variables of changes in
    exogenous variables
  • Normative Analysis (Math)
  • Evaluation of econ. outcomes

3
Supply and Demand an economic model of an
equilibrium system
  • Assumptions
  • Supply equals demand at equilibrium
  • Income increase shifts demand curve out
  • Supply curve upward sloping
  • Demand curve downward sloping
  • Testable Hypotheses
  • Higher income leads to higher equilibrium price
  • Higher wages lead to higher equilibrium price
  • S(pe,w) D(pe,I)
  • Spgt0 Swlt0 Dplt0 DIgt0
  • Differentiating with respect to I and w yields

4
Optimizing model monopoly choice of output
  • Assumptions
  • Firm maximizes profits
  • ? R(x) - C(x)
  • R is twice differentiable
  • Technology exhibits constant returns to scale
    C(x) cx
  • Characterization of outcome
  • Marginal revenue equals marginal cost
  • Testable hypothesis
  • An increase in unit costs leads to a reduction in
    output
  • Assumptions
  • x ?argmax R(x)-cx
  • xgt0
  • R?C2
  • ?
  • FONC R?(x) c
  • SONC R?(x) lt 0
  • Testable Hypothesis
  • (dx/dc) 1/ R?lt0
  • Requires SOSC R?lt0

5
More general model based upon an optimizing
system
  • Assumptions
  • Firm chooses real decision variable x to maximize
    real-valued payoff function F(x,a)
  • Characterization of outcome
  • x argmax F(x,a)
  • F?C2
  • ? Fx(x,a)0 and Fxx(x,a)lt0

6
Testable Hypotheses
  • Which of these are testable implications of an
    economic model?
  • Higher consumer income leads to higher prices
  • An increase in unit costs causes a monopolist to
    reduce output
  • Higher wages lead to higher prices
  • A profit maximizing firm operates where Marginal
    Revenue equals Marginal Costs
  • The last statement is a tautology, it cannot be
    false!
  • The first three statements are refutable they can
    be false.
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