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Elasticity Formula
%ΔG/%ΔS. Greater than 1 is highly responsive, smaller than is slightly 1 responsive.
elasticity = 1
unitary
elasticity < 1
inelastic (not responsive)
Elasticity > 1
price is elastic
Total Revenue (TR)
P×Q.
Average Product of Labor (APL)
Q/L.
Average Product of Capital (APK)
Q/K.
Marginal Product of Labor (MPL)
ΔQ/ΔL or dQ/dL.
How to solve marginal product and capital questions
you just take the derivative in respect to k (capital) or L labor)
Value of Marginal Product (VMPL)
MPL×P.
Marginal Rate of Technical Substitution (MRTS)
MPL/MPK.
Total Cost (TC)
FC+VC(Q).
Marginal Cost (MC)
ΔTC/ΔQ.
Average Fixed Cost (AFC)
FC/Q.
Average Variable Cost (AVC)
VC/Q.
Average Total Cost (ATC)
TC/Q.
Total Variable Cost
Use AVC formula which is AVC=TC/Q plug in what you know.
Cost Function
Mathematical relationship that relates cost to the cost minimizing output associated with an isoquant.
determinants of Elasticity
1) Availability of substitutes
2) Time
3) Budget large ticket item or small ticket item
Short run
One factor held constant
Long run
everything is variable
Sunk Cost
-cost that is forever lost after it has been paid (like paying for a super bowl commercial)
VMPL(profit max input) must equal
wage
next best option for VMPL
≥ wage
Oligopoly
Few Firms, Interdependent
Sweezy
o The firms produce differentiated products
o Each firm believes its rivals will cut their prices in response to a price reduction but will not raise their prices in response to a price increase
Cournot (quantity battle)
o The firms produce differentiated products or homogenous(identical) products
o Each firm believes rivals will hold their output constant if it charges its output
-Each firms marginal revenue is impacted by the other. firms output decision
Stackelberg (price leadership)
o The firms produce differentiated products or homogenous products
o A single firm (the leader) chooses an output before all other firms choose their outputs
o All other firms (the followers) take as given the output of the leader and choose output that maximize profits given the leaders output
Betrand (price war)
o The firms produce identical products at a constant marginal cost
o Firms engage in price competition and react optimally to prices charged by competitors
o Consumers have perfect information and there are no transaction costs
-This war would come to an end when the price each firm charges equals the marginal cost
Collusion/Collusive(cartel)
o When firms openly and formally get together at united and set price and quantity
-They are illegal in the us
-Cheating: part of the agreement is for you and I to reduce and quantity and charge higher price, if one cheats and decides to increase qunaity and decrease price without telling it collapses. (this happens all the time)
Oligopoly solutions in terms of profit:
Profit of collusion >Profit of Cournot > Profit of stackleberg
> Betrand is the lowest
1st degree price discrimination
the practice of charging each consumer the maximum price he or she would be willing to pay for each unit of the good purchased
Implication and problem of 1st degree price discrimination
o the firm extracts all surplus from consumers and earns the highest possible profit
o managers rarely know each consumers maximum willingness to pay for each unit of the product (they need a lot of information)
Second degree price discrimination
posting a discrete schedule (2 or 3 different prices) of declining prices for different ranges of quantity. Available for everyone
Implication of Second degree price discrimination
firm extracts some surplus from consumers without needing to know the identity of various consumers' demand
Third degree price discrimination
1. charging different prices based on systematic differences in demand across demographic consumer groups
-Have to have two distinct group of customers (old vs young, male vs female)
-Have to have two different elasticities
-They should be separable
-No possibility of resale
Implications of Third degree price discrimination
o Marginal revenue will be different for each group. That is, if there are two groups MR1 > MR2 for example
Two Part Pricing
o A pricing strategy whereby a firm with market power charges a per unit price equal to marginal cost plus a fixed fee equal to the consumer surplus each consumer receives at this per unit price
o Like a membership thing, or an entrance fee and then buying this at the place
Block Pricing
a pricing strategy in which identical products are packaged together in order to enhance profits by forcing customers to make an all or none decision to purchase
-Ex) we will just have one price at 24 dollars
Which pricing strategy extracts all the consumer surplus
- 1st degree
- Two part pricing
- Block pricing
Cross subsidies:
a pricing strategy in which profits gained from the sale of one product are used to subsidize sales of a related product
Ex) wanting to ski but not having the equipment so you rent it. you spend 100 dollars on the ticket but 200 dollars on the equipment, they make money on the rent equipment rather than the ticket
Transfer Pricing
A pricing strategy in whihc a firm sets the internal price at which an upstream divison sells an input to a downstream divison
Ex) a parent company manufacturing goods in a high-tax country and selling them to a subsidiary in a low-tax country
Four-firm concentration ratio
Measures market share of top four firms.
C4(four firm) Ratio
(S1+S2+S3+S4)/Sr.
Highly concentrated market for C4
ratio close to 1
Herfindahl-Hirschman Index (HHI)
Square the market shares; ranges 0-10,000. 3450 means it needs to be watched closely (not comeptitive) the further away you are from 0 you are the more concentrated the market
Rothschild Index
Measures market concentration based on elasticities. Elasticity of total or Market / Elasticity of 1 firm
Lerner Index
= (P - MC) / P. o Closer to one you are concentrated, closer to 0 less concentrated
Markup formula
= 1 / (1 - L); indicates that the Lerner Index is (5) times the margina cost
Deadweight Loss (DW) Index
Measures social welfare changes with output increase. If you are closer to 1 firm expands its output and social welfare will improve, if DW is closer to 0 social welfare does not change
Barriers to Entry
- Capital Requirement: requires an enormous a lot of capital so companies cant come in
- Economy of Scale
- Patent: legal barrier that stops a firm
Vertical Merger
beginning and end of the production process all carried out by a single firm.
Example: Like a farmer growing wheat going all the way to the bakers.
Horizontal Merger
merging 2 or more similar final productions into a single firm:
Example: Like 20 lawyers forming a law firm
Conglomerate Merger
- Integration of 2 or more different product lines into a single firm. These companies don't have no relation.
Example: Warren buffet: buying anything and everything doesn't have to do with each other
Reasons For mergers
-Decrease cost,
- Recap the benefits of Economies of scale: will lead to less Competition but benefit them as they can share things
-Increase market power, HHI will go up
Perfect Competition
- : consumers are king, and firms are the servant, and markets are the agent. consumers are doing very good(farmers a good example)
Perfect Competition Must satisfy the following conditions:
- Must be identical( no difference among the products)
-Many buyers and many sellers
-Free Entry, Free exit (no barriers of entry/exit) most important characteristic, makes each buyer large or small
- Perfect information (both buyers and sellers know all the information)
- No transaction cost (you don't need a 3rd party to buy)
Monopoly
Single firm dominates market, sets prices and cannot charge any price Example: Souther california of Edison
Why do we have monopoly:
- Technology: Like Microsoft
- Geographical: if you are the only one in the area (like southern California Edison)
- Resource ownership (Like the diamond company debeers owning 70% of the diamonds)
- Economies of Scale: (like GMC they produce so many cars as they are very big)
- Patent: Legal barriers
- Cost complentarity:
- Economies of scope: the monopoly is so big they can make multiple products. (Like car compaies making trucks sedans vans)
Monopolistic Competition
- Products are not Identical
-Many buyers and many sellers
-Free Entry, Free exit (no barriers of entry/exit) most important characteristic, makes each buyer large or small
- Perfect information (both buyers and sellers know all the information)
- No transaction cost (you don't need a 3rd party to buy)
Monopolistic competition; reinvention:
Create a new product or new concept, to make profit positive again
Profit Maximizing Output
Where MR equals MC for maximum profit.
Perfect Competition to Monpoly will lead to:
- Higher prices
- Lower quantities
- Lower Consumer surplus
- Dead weight Loss
Consumer Surplus
Difference between willingness to pay and market price.
Law of demand
Price and quantity move in the opposite direction
Price goes up demand goes down, price goes down demand goes up
Consumer Surplus:
: willingness to pay-what consumer actually pays
Law of supply
As the price of a good rises, the quantity supplied of the good rises, holding other factors affecting supply constant. Price down, Supply down. It moves the same way
Changing only price leads to changes in quantity supplied
Producer Surplus:
the amount of producers receive in excess of the amount necessary to induce them to produce the good. (profit basically)
Market Equilibirum
: A place there is no tendency for movement, the market will clear, and quantity demanded = quantity supplied
Below the equilibrium is a shortage, above the equilibrium is a surplus, at the equilibrium quantiy demanded=quantitysupplied
Price ceiling
: Maximum legal price that can be charged in a market (shown below the equilbrium on the graph because of a shortage)
Price floor
Minimum legal price that can be charged in a market (shown above the equilbrium as there is a surplus)
Social Welfare
Consumer surplus + producer surplus
What is Market failure?
where private market fails to come up with an appropriate solution.
Exists because of a lack of clearly defined property rights(right to use, right to exclude, right to resell) which leads to market failure
Resolve by assigning property rights
Five faces of Market Failure
Market power(monopoly), externality, public good, incomplete information, common resources.
MB >MC
Q goes up so continue what you are doing
MB < MC
Q goes down, cut back
MB = MC
Optimal point
Demand Shifters
1. Income
a. Normal good: Income goes up you buy more, if income goes down you buy less of it. Ex)steak
b. Inferior good: Your income goes up and you buy less of it. Ex) A in n out burger
2. Prices of related goods:
a. Substitute goods:
b. Complement goods:
3. Advertising and consumer tastes
a. Informative advertising: something new, new ideas new concepts
b. Persuasive advertising(Brand wash): keep advertising that you basically stop thinking and end up buying the product.
4. Population: Population increases = D1 demand will go up
Less people: D2 demand will go down
5. Consumer Expectations
- If you think an hamburger will make you look bad, D2, demand will go down
- If you think an hamburger will make you look good, D1, demand will go up
Supply Shifters
1. Input prices: If input prices (like minimum wage) goes up Supply goes up, S2
2. Technology: Better technology = S1
3. government regulation: Gonna cost you money, S2
4. Number of firms:
a. Entry: more firms come in, S1
b. Exit: start to shut down, S2
5. Substitutes in production: many elements are shared(substitutable) like some parts of cars. More substitutes in production, S1
6. Taxes: S2
a. Excise tax: a tax on each unit of output sold(per pack of cigarettes, a cup of coffee), where tax revenue is collected from the supplier
7. Producer expectations: If you expect a lot of traveling in may, gas will go up: S1
If you expect in the winter less people will eat ice cream: S2
Thanksgiving turkey: S1
Conditon 1 (Celler-Kefavuer)
Merger that increases HHI by less than 100 or leads to an unconcentrated market (post-merger HHI <1500) is typically permitted
2nd condition(Celler-Kefavuer)
Markets are considered modertaely concentrated when the post merger results in: 1500<HHi<2500, mergers with an HHI in this range and increase the HHI by more than 100 points potentially raise antitrust concerns
3rd condition (Celler-Kefavuer)
Markets are considereed highly concentrated when the post merger HHI > 2500. mergers with an HHI in this range and increase the HHI between 100-200 points potentially raise antitrust concerns
4th condition (Celler-Kefavuer)
If a merger increases the HHI by more than 200 points and leads to a highly concentrate market, it is presumed to enhance market power