What condition determines a perfectly competitive firm's profit-maximizing output?
p=MC
True or False:
A monopolist produces where demand is inelastic.
False, because MR would be negative.
In Cournot competition, firms choose:
A) Price
B) Quantity
B) Quantity
If demand is very elastic, consumers are ___ to price changes.
Very sensitive
If a strategy gives a player a higher payoff regardless of what the other player does, it is called a ____ strategy.
dominant
A firm has:
If p = 10:
1. No
2. Negative
Explanation:
No shutdown because 10>8
Negative profit because 10<12
Firm stays open and loses money.
Demand: P=30-Q
Find MR.
TR=(30-Q)Q
TR=30Q-Q2
MR=30-2Q
What is a reaction function?
A firm's profit-maximizing quantity as a function of rivals' quantities.
State the point elasticity formula.
ε=(dQ/dP)*(P/Q)
____ is a strategy profile where no player wants to deviate unilaterally.
Nash equilibrium
List all long-run competitive equilibrium conditions.
p=MC
p=ATC
π=0
Therefore p=MC=ATC at min ATC.
Demand: P=30-Q
Cost: C(Q)=6Q
Find the monopoly quantity.
MR=30-2Q
MC=6
30-2Q=6
Q*=12
Demand: P=80-Q1-Q2
Firm 1 cost: C1(Q1)=20Q1
Find Firm 1's reaction function.
π1=(80-Q1-Q2)Q1 - 20Q1
FOC:
60-2Q1-Q2=0
Q1=30−0.5Q2
Who bears more tax burden if demand is inelastic and supply is elastic?
Consumers
Under first-degree price discrimination, consumer surplus equals what?
CS = 0
Demand: QD=100-P
Supply: QS=P
Find equilibrium price and quantity.
100-P=P
100=2P
P*=50
Q*=50
Demand: P=80-2Q
Cost: C(Q)=20Q
Find monopoly price.
MR=80−4Q
80−4Q=20
Q=15
P=80−2(15)=50
Compared to Cournot equilibrium, does collusion result in higher or lower price?
Higher price.
As well as lower quantity and higher total profits.
Consumer share of a tax formula:
Es/(Es+Ed)
Which consumers receive the lower price under third-degree price discrimination?
The more elastic group
Demand: QD=100-P
Supply: QS=P-10
Find:
100-P = P-10
110=2P
Pc=55
Q=45
Original price = 50
Consumer burden: 55-50=5
Producer receives: 55-10=45
Producer burden: 50-45=5
Tax split equally.
Demand elasticity is ε=5, MC = 20.
Find monopoly price.
P=25
Rank profits from largest to smallest:
Monopoly, Cournot, Perfect Competition
Monopoly, Cournot, PC
A binding price ceiling creates what market outcome?
Shortage because QD>QS and deadweight loss.
Under third-degree price discrimination, what condition must hold?
MR1 = MR2 = MC