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Econ note

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Marginal Revenue (MR) =
Δ๐‘‡๐‘…
Δ๐‘„
= Price = AR
If TR is a straight ็›ด็บฟ upward sloping line, then the increase of TR due to increase of
Q is constant ไธๅ˜, the firm must be a price-taker since the increase of TR due to
increase of Q is Price.
P
5
5
5
5
Q
1
2
3
4
TR
5
10
15
20
MR
5
5
5
5
Price-maker
P
5
4
3
2
1
Q
1
2
3
4
5
TR
5
8
9
8
5
MR
5
3
1
-1
-3
Q
Q1
Q2 Q3 Q4
At Q1, MR = MC (If MR > MC, Q↑ => profit↑; IF MR < MC, Q↓ => profit↑), profit
maximization for price maker
At Q2, AC = MC, QP.E. (productively efficient output)็”Ÿไบงๆœ€ไผ˜ ~ ACmin ~ no waste of
resources ๆ— ่ต„ๆบๆตช่ดน
At Q3, MC = P (profit maximization for price-taker ไปทๆ ผๆŽฅๅ—่€…็š„ๅˆฉๆถฆๆœ€ๅคงๅŒ–ไบง้‡), for the
last unit, consumers are not over-paying ่ฟ‡ๅบฆๆ”ฏไป˜ and not under-paying ่ฟ‡ๅฐ‘ๆ”ฏไป˜ for the
resources used and for what they desire ๆƒณ่ฆ็š„, QA.E. (allocatively efficient output)ๅˆ†้…ๆœ€
ไผ˜ไบง้‡
At Q4, AC = P, QB/E (breaking even output)็›ˆไบๅนณ่กก, normal profit ็ปๆตŽๅˆฉๆถฆไธบ้›ถ
Perfect competition
Monopoly
Many sellers
No barriers to entry or exit
Identitcal goods
Price-takers
one seller
high
unique goods
price maker
Monopolistic competition
Many sellers
No barriers to entry
Differentiated ้žๅŒ่ดจ products
Price makers
Long Run equilibrium
P = ATC
Normal profit
New entry of competitors => D for individual firms’
goods decreases => QM and PM decrease =>
subnormal profit => some firms will exit
Abnormal profit => new competitors enter the
market
Accounting ไผš่ฎก profit vs Economic ็ปๆตŽ profit
============================================================
Accounting profit = total revenue – explicit ๆ˜พๆ€ง cost
Economic profit = accounting profit – implicit ้šๆ€ง cost
Implicit cost = opportunity cost
Oligopoly
Characteristics
- A few sellers
- High barriers to entry
- Price makers
- Inter-dependent price-making
Example question:
In the market, there are only two firms.
Two firms agree to raise the price and limit output to exploit ๅŽ‹ๆฆจ consumers
~ collusion ~ illegal ้žๆณ• (anti-trust ๅๅž„ๆ–ญ law)
If P = 5, the total sales in the market = $100
If both A and B raise the price to 5, A earns 50, B earns 50.
If A decreases the price to 4, and B raises the price to 5, then A earns $90, B earns $0
If A raises the price to 5, and B decreases the price to 4, then A earns 0, B earns $90
If A and B both decrease the price to 4, A earns 45, B earns 45
For A, regardless of whether B chooses to raise the price or decrease the price, A is
always better off if A chooses to decrease the price. Decreasing the price is dominant
ไธปๅฏผ
strategy ็ญ–็•ฅ. For B, decreasing the price is dominant strategy. Both decreasing the
price is the Nash equilibrium of the situation.
Labor market
If employer ้›‡ไธป is a price taker in labor ๅŠณๅŠจๅŠ› market and a price taker in output ไบงๆˆๅ“ market,
Then marginal revenue of output is the price of output
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘‡๐‘…
MR =
=๐‘ƒ
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„
Marginal cost of hiring one unit of labor is wage rate ๅทฅ่ต„็Ž‡ of labor
MCL =
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘‡๐ถ
=๐‘ค
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„๐ฟ
The change of profit of hiring one more labor is
change of profit = MR of product of L − MC of hiring L
Marginal revenue product of labor is
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘‡๐‘… ๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘‡๐‘… ๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„
MRPL =
=
∗
= MR ∗ MPL = ๐‘ƒ ∗ ๐‘€๐‘ƒ๐ฟ
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„๐ฟ
๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„ ๐‘โ„Ž๐‘Ž๐‘›๐‘”๐‘’ ๐‘œ๐‘“ ๐‘„๐ฟ
MRPL = ๐‘ƒ ∗ ๐‘€๐‘ƒ๐ฟ
change of profit = MRPL − ๐‘€๐ถ๐ฟ = ๐‘ƒ๐‘Ÿ๐‘–๐‘๐‘’ ∗ ๐‘€๐‘ƒ๐ฟ − ๐‘ค๐‘Ž๐‘”๐‘’
The last unit of labor hired must lead to
Price ∗ MPL = ๐‘ค๐‘Ž๐‘”๐‘’
Price ∗ MPL = ๐‘ƒ๐ฟ
๐‘€๐‘ƒ๐ฟ 1
=
๐‘ƒ๐ฟ
๐‘ƒ
Profit is maximized.
Demand for labor ๅฏนไบŽๅŠณๅŠจๅŠ›็š„้œ€ๆฑ‚ ~ Derived ่ก็”Ÿๆ€ง demand (from demand for goods and services)
If wage rate increases, then w > P*MPL, employer isn’t profit-maximizing
Employer must decrease QL to increase MPL so that w = P*MPL
Demand for capital follows similar rule to demand for labor
rent for capital = P ∗ MPK
P ∗ MPK = PK
๐‘€๐‘ƒ๐พ 1
=
๐‘ƒ๐พ
๐‘ƒ
For a rational producer, when hiring QL and QK, profit is maximized when the combination of QL
and QK satisfies
๐‘€๐‘ƒ๐ฟ ๐‘€๐‘ƒ๐พ
=
๐‘ƒ๐ฟ
๐‘ƒ๐พ
For a rational consumer, when consuming Qx and Qy, total utility is maximized when the
combination of Qx and Qy satisfies
๐‘€๐‘ˆ๐‘ฅ ๐‘€๐‘ˆ๐‘ฆ
=
๐‘ƒ๐‘ฅ
๐‘ƒ๐‘ฆ
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