Ch.5 Summary
Market Structures
Definition & Context
A market is any arrangement that brings buyers and sellers together. It can be a Physical Market (geographic location, personal contact) or a Digital Market (internet, mobile, faster value transmission).
- Perfect Competition (Pure Competition)
- Monopolistic Competition
- Oligopoly
- Pure Monopoly
Perfectly Competitive Market
Complete absence of rivalry.
Core Assumptions
Share of each is insignificant. No single entity can influence price.
Products are identical (perfect substitutes). No preference for one firm over another.
Firms must accept the market price determined by supply and demand.
No barriers. Resources are perfectly mobile.
The Demand Curve: Industry vs. Firm
The Market (Industry)
Market price is set where D = S.
The Individual Firm
Firm takes Price (Pm) as given. Demand is perfectly elastic.
Profit Maximization
Determining the optimal output level.
1. Total Approach (TR - TC)
Profit \(\Pi = TR - TC\). Maximize the vertical distance where TR > TC.
2. Marginal Approach (MR = MC)
Produce where additional revenue equals additional cost.
Condition 1: \( MR = MC \)
Condition 2: MC slope > MR slope (MC rising)
Profit & Loss Scenarios
Depends on where Price (AR) is relative to Average Cost (AC).
1. Economic Profit (\(P > AC\))
2. Shutdown Point (\(P = \min AVC\))
Firm shuts down if Price < minimum AVC.
Mathematical Application
Given: \( P = \$10 \) and \( TC = 2 + 10q - 4q^2 + q^3 \)
Step 1: Find Equilibrium Output
Condition: \( MR = MC \) and Slope MC > 0
\( MR = P = 10 \)
\( MC = \frac{dTC}{dq} = 10 - 8q + 3q^2 \)
Set \( 10 = 10 - 8q + 3q^2 \Rightarrow 3q^2 - 8q = 0 \)
\( q(3q - 8) = 0 \Rightarrow q=0 \) or \( q = 8/3 \)
Since MC must be rising (2nd order condition), \( q = 8/3 \approx 2.67 \)
Step 2: Calculate Profit
\(\Pi = TR - TC\)
\( TR = 10(8/3) = 80/3 \approx 26.67 \)
\( TC(8/3) \approx 19.18 \)
\(\Pi = 26.67 - 19.18 = \$7.49 \)
Step 3: Shutdown Price
Find min AVC (\(dAVC/dq = 0\))
\( TVC = 10q - 4q^2 + q^3 \)
\( AVC = 10 - 4q + q^2 \)
\( \frac{dAVC}{dq} = -4 + 2q = 0 \Rightarrow q = 2 \)
Min AVC = \( 10 - 4(2) + (2)^2 = 6 \)
Shutdown Price = $6
Imperfect Competition
| Structure | Firms | Product | Entry | Curve Shape |
|---|---|---|---|---|
| Perfect Comp | Many | Homogeneous | Easy | Horizontal |
| Monopoly | One | Unique | Blocked | Steep Downward |
| Monopolistic | Many | Differentiated | Easy | Flatter Downward |
| Oligopoly | Few | Mixed | Hard | Kinked (Often) |