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Ch7 Competition

7.1 The Competitive Firm

marginal revenue = price a firm's output: where price = MC (marginal cost)

U-shaped MC curve

ch7-competition-1.png if lost in [0,Q1] < profit in [Q1,Q2] → produce Q2
else → shut down

short run: can shutdown
long run: can exit

shut down or not ?

operate profit: TR(total revenue) - TC(total cost)
shut down profit: -FC (fixed cost)
TC = FC + VC (variable cost)
operate if operate profit > shut down profit i.e. TR > VC
(bc fixed cost is there whether shut down or not, so only variable cost matters)
TR = P×Q > VC
→ ==P > AVC== i.e. price > average variable cost then a firm operate

bold part = supply curve
(only produce when P=MC>AVC) ch7-competition-2.png produce nothing at price < P0

MC intersect AVC & AC at min point

原因:marginal < average 時,會讓 average 減少;> average 時,會讓 average 增加,又 fixed cost 不變

elasticity of supply

elasticity = \(\(\frac{△Q/Q}{△P/P}\)\) (the flatter the higher)

7.2 The Competitive Industry in the Short Run

industry supply curve ch7-competition-3.png

changes in variable costs

ch7-competition-5.png

a firm:

  • marginal cost rises → supply curve shifts upward/leftward
  • in industry, price = P0 → P2, so d→d' in a firm, q2 not necessarily < q0

an industry:

  • the sum of firms' supply curves → shifts upward/leftward
  • Q2 < Q0

a change in demand

ch7-competition-6.png

ch7-competition-4.png

changes in variable costs

ch7-competition-5.png

a firm:

  • marginal cost rises → supply curve shifts upward/leftward
  • in industry, price = P0 → P2, so d→d' in a firm, q2 not necessarily < q0

an industry:

  • the sum of firms' supply curves → shifts upward/leftward
  • Q2 < Q0

a change in demand

ch7-competition-6.png

7.3 The Competitive Firm in the Long Run

min AC point = equilibrium quantity q&p (horizontal demand i.e. price is the tangent of min AC)

  • if p > AC, the firm is earning positive economic profits, so more firms will come in, making p decreases
  • if p < AC, the firm is earning negative economic profits, so it will quit

i.e. in long run, price = min AC

P0→P1 short run: S
long run: LRS, S' ch7-competition-7.png p.183

7.4 The Competitive Industry in the Long Run

change in demand

constant-cost

long run: price don't change

ch7-competition-8.png

short run: price goes up

ch7-competition-9.png

change in cost

constant-cost

changes in variable cost

ch7-competition-10.png

如果每單位 output 上升相同的 marginal cost,AC 就會垂直上升,讓均衡 output 不變
但若是 variable cost 按比例上升,output 愈大 marginal cost 上升愈多

suppose a lecense fee is charged

ch7-competition-11.jpg

ch7-competition-12.jpg

短期才會有好處 長期而言都是 0 profit

increasing-cost

same as constant-cost except the shape of LRS

ch7-competition-13.png

ch7-competition-14.png

applications

  1. apartment rent for $400
  2. new law: $200 max
  3. change to $20p
  4. remove law
  5. change to $500
  6. change back to $400 ultimately

ch7-competition-15.jpg

7.5 XXXX-Cost Industries

Constant-Cost Industries

break-even price (price that makes you profit = 0 ) is constant as q ↑

Increasing-Cost Industries

break-even price ↑ as q ↑

可能原因

  • break-even price 較低者較早進入市場,較高者較晚進入
  • factor price ↑ as q ↑ e.g. lands

image-20200606131208478

Decreasing-Cost industries

costs ↓ as q ↑ → break-even price ↓ as q ↑ e.g. 3C industry

Homework

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ch7-competition-19.png
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ch7-competition-21.png

ch7-competition-22.jpg
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ch7-competition-25.jpg

  • a. short(no change in long)
  • b. long
  • c. short
  • d. short