2. PreviouslyâŚ
⢠Monopolistic competition is a market
structure characterized by free entry,
many different firms, and differentiated
products
⢠Differentiated products are substitutable,
but not identical
⢠Firms advertise in order to increase
demand for their product
3. Big Questions
1. What is oligopoly?
2. How does game theory explain strategic
behavior?
3. How do government policies affect
oligopoly behavior?
4. What are network externalities?
4. Oligopoly
⢠Oligopoly is a market structure with the
following characteristics:
â Small number of firms
â Differentiated products
â Significant entry barriers
â Firms interact strategically
6. Measuring Concentrations
of Industries
⢠Concentration ratio
â Used to measure oligopoly power in an
industry
â What percentage of industry sales are owned
by the biggest firms?
⢠Four-firm concentration ratio
⢠Eight-firm concentration ratio
8. Duopoly
⢠Duopoly
â An oligopoly with only two firms
â May happen in localized markets with cell
phones or utilities
⢠Duopoly behavior
â Firms feel competitive pressure, but can
enjoy advantages of market power
â Firms may have the incentive and the ability
to cooperate, or collude.
9. Duopoly
⢠Collusion
â Agreement among rivals specifying prices or
quantities
â Firms ask: âWhat would a monopoly do?â
and then do that action
⢠Cartel
â Two or more firms acting in unison to form a
joint monopoly
10. Cartels
⢠Cartels tend to be unstable over a long
period of time. Why?
â Each firm in the cartel often has an incentive
to âcheatâ
â Could occur by one firm lowering its price
â Firm could also overproduce output (in
situations with homogenous output, such as
oil cartels)
11. Cellphone Duopoly
Price/Month
(P)
Number of
Customers
(Q)
Total Revenue
(TR)
TR = P Ă Q
$180 0 $0
165 100 16,500
150 200 30,000
135 300 40,500
120 400 48,000
105 500 52,500
90 600 54,000
75 700 52,500
60 800 48,000
45 900 40,500
30 1,000 30,000
15 1,100 16,500
0 1,200 0
⢠Assume MC = 0
⢠Perfect Competition
â Result: P = MC
â P = $0
â Q = 1,200
â Socially efficient
⢠Monopoly
â No competition to drive price
down
â P = $90
â Q = 600
â Loss of efficiency compared to
competition
12. Cellphone Duopoly
Price/Month
(P)
Number of
Customers
(Q)
Total Revenue
(TR)
TR = P Ă Q
$180 0 $0
165 100 16,500
150 200 30,000
135 300 40,500
120 400 48,000
105 500 52,500
90 600 54,000
75 700 52,500
60 800 48,000
45 900 40,500
30 1,000 30,000
15 1,100 16,500
0 1,200 0
⢠Duopoly
â AT-Phone and Horizon
⢠Collusion result: act like a
joint monopoly by charging
the monopoly price
â P = $90
â Q = 600 (each firm produces
300)
â Profit of $27,000 for each,
assuming equal split
â Does each firm have an
incentive to undercharge the
competitor? What if that
happens?
13. Cellphone Duopoly
Price/Month
(P)
Number of
Customers
(Q)
Total Revenue
(TR)
TR = P Ă Q
$180 0 $0
165 100 16,500
150 200 30,000
135 300 40,500
120 400 48,000
105 500 52,500
90 600 54,000
75 700 52,500
60 800 48,000
45 900 40,500
30 1,000 30,000
15 1,100 16,500
0 1,200 0
⢠Duopoly Competition
â AT-Phone still believes Horizon
will serve 300 customers
â AT-Phone lowers its price to
P = $75
â Market demand is Q = 700
â AT-Phone profit:
⢠400 x $75 = $30,000
⢠Horizonâs reaction
â Also wants 400 consumers
â For both firms to do this, price
must by P = $60
â Horizon and AT-Phone lower
price to P = $60.
⢠Profits now $24,000 for each.
14. Cellphone Duopoly
Price/Month
(P)
Number of
Customers
(Q)
Total Revenue
(TR)
TR = P Ă Q
$180 0 $0
165 100 16,500
150 200 30,000
135 300 40,500
120 400 48,000
105 500 52,500
90 600 54,000
75 700 52,500
60 800 48,000
45 900 40,500
30 1,000 30,000
15 1,100 16,500
0 1,200 0
⢠Would a price war result in
which the price falls to zero?
â No, duopolist will try to gain
more market shares and wait to
see how competitor responds
â Each firm has what is called a
response function. Each firm will
respond to what the other firm
does.
â Duopoly outcome is more
efficient than monopoly
15. Mutual Interdependence
⢠Mutual interdependence
â A market situation in which the actions of one
firm have an impact on the price and output
of its competitors
â AT-Phoneâs response depends on the actions
of Horizon, and Horizonâs response depends
on the actions of AT-Phone
â Note the difference between interdependence
and independence
16. Competition, Duopoly,
and Monopoly
Competitive
Markets
Duopoly Monopoly
Price $0 $60 $90
Output 1200 800 600
Socially
Efficient?
Yes No No
Explanation
Since the
marginal cost of
providing
cellphone
service is zero,
the price is
eventually
driven to zero
Each firm is mutually
interdependent and
adopts a strategy
based on the actions
of its rival. This leads
both firms to charge
$60 and service 400
customers
The monopolist is
free to choose the
profit-maximizing
output. In this
example it
maximizes its total
revenue.
17. Cheating in a Cartel
⢠OPEC cartel
⢠1988 Iraq
â Virtually bankrupt
â Economy depended mostly on exporting oil
â Low oil prices hurting Iraq further
â Iraq accused Kuwait of âcheatingâ and
overproducing oil, which lowered the price
â What did Iraq do?
18. Cheating in a Cartel
⢠Gulf War
⢠Iraq invades Kuwait City
19. Nash Equilibrium
⢠Nash Equilibrium
â An economic decision maker has nothing to gain by
changing its own strategy without collusion
â Nobody wants to change their strategy given that the
other firm does not change their strategy
â A âstableâ outcome where nobody wants to move
from their current position
â Often discussed with game theory, and easier to see
when games are drawn in matrix form
20. Oligopoly with More Than
Two Firms
⢠Imagine if a third firm entered the phone
market and builds a cell tower
⢠Price effect
â The total number of cellphone contracts sold
(supply) increases, and the price firms are
able to charge decreases
⢠Output effect
â The new firm sells an additional unit in which
it generates additional profits
21. Oligopoly with More Than
Two Firms
⢠Price and output effects make maintaining
a cartel (joint monopoly) difficult
â As firms enter, each individual firm will have a
smaller impact on market price. Firms will
produce more as long as it is profitable.
⢠Not all firms in oligopoly are the same size
â Each firmâs actions affect price and output,
and thus affect decisions made by other firms
(interdependence)
â Small firms and large firms will behave
differently, yet will act strategically
22. Game Theory
⢠Game theory
â Branch of mathematics that economists use to
analyze the strategic behavior of decision makers
â Can help us determine what level of cooperation is
most likely among players in a game
⢠Basic components of a game
â Players
â Strategies
â Payoffs
23. Strategic Behavior and the
Dominant Strategy
⢠Prisonerâs dilemma
â Two suspects are interrogated separately
â They each have the option to confess or keep quiet
⢠Possible outcomes of prisonerâs dilemma
â If both suspects keep quiet, each suspect will serve
only a small time in jail
â If both confess, both will serve 10 years in jail
â If one suspect confesses and the other remains
quiet, the suspect who confesses goes free, while the
suspect who kept quiet serves 25 years in jail
24. Presenting
The Prisonerâs Dilemma
Players
Thelma
Confess Keep Quiet
Louise
Confess
10 years
in jail
25 years
in jail
10 years
in jail
goes
free
Keep
Quiet
goes
free
1 year in
jail
25 years
in jail
1 year in
jail
Strategies Payoffs
25. Analyzing
The Prisonerâs Dilemma
Thelma
Confess Keep Quiet
Louise
Confess
10 years
in jail
25 years
in jail
10 years
in jail
goes
free
Keep
Quiet
goes
free
1 year in
jail
25 years
in jail
1 year in
jail
⢠Louise
â Best to Confess or Keep Quiet?
â Best for Louise to Confess no
matter what Thelma does!
⢠Thelma
â Best to Confess or Keep Quiet?
â Best for Thelma to Confess no
matter what Louise does!
26. Interesting Result of this
Game
Thelma
Confess Keep Quiet
Louise
Confess
10 years
in jail
25 years
in jail
10 years
in jail
goes
free
Keep
Quiet
goes
free
1 year in
jail
25 years
in jail
1 year in
jail
Nash equilibrium
Payoffs that will result
Outcome with
the overall
best sum of
payoffs
27. Game Theory
⢠Dominant strategy
â A best response for a player to choose no matter
what the other player chooses
â Not all games or players in a game have a dominant
strategy
⢠Nash equilibrium implications?
â If both players have a dominant strategy, the
intersection of those dominant strategies will be the
Nash equilibrium.
â Neither player will want to unilaterally deviate.
28. Economics in The Dark
Knight
⢠The Joker sets up an ethical
experiment that pins two ferries full of
passengers against one another.
29. Economics in Golden Balls
⢠Golden Balls (2008)
The prisonerâs dilemma often shows up in
TV game shows as wellâŚ
30. Duopoly and the
Prisonerâs Dilemma
AT-Phone
Low High
Horizon
Low
$27,000 $30,000
$27,000 $22,500
High
$22,500 $24,000
$30,000 $24,000
Nash equilibrium
payoffs that will result
An outcome that is better
for both players
31. Advertising and the
Prisonerâs Dilemma
Coca-Cola
Advertises Does Not Advertise
Pepsico
Advertises
$100 M $75 M
$100 M $150 M
Does Not
Advertise
$150 M $125 M
$75 M $125 M
Nash equilibrium
payoffs that will result An outcome that is better
for both players
32. Intuition of Advertising
Prisonerâs Dilemma
⢠Advertising
â Costly
â Purpose: increase
product demand
â If both firms advertise,
expenses go up, but
demand increases;
each cancels other out
â âArms raceâ of
advertising
33. Cigarette Advertising on TV
⢠In 1970, Congress enacted a law making
cigarette advertising on TV illegal
â Reasoning: too many ads being seen by
children and teens
â Goal: reduce smoking among all ages
⢠Unintended consequence
â This actually increased the economic profits
of cigarette makers
â The law ended their prisonerâs dilemma of
advertising
34. Economics in Dilbert
⢠Dilbert gets caught in a prisonerâs dilemma
⢠He mistakenly believes that his coworkers will
deviate from the dominant strategy
35. Escaping the Prisonerâs
Dilemma in the Long Run
⢠The Nash equilibrium in prisoner dilemma
games may give the best short run
payoffs
⢠However,
â Many games are repeated
â This repetition occurs over a longer time span
â Dominant strategies may not consider long-
run benefits of cooperation
36. Escaping the Prisonerâs
Dilemma in the Long Run
⢠Tit for tat
â A long run strategy designed to create
cooperation among participants
â Strategy: mimic the decision your opponent
made in the previous round.
â Changes the incentives and encourages
cooperation
â Useful because interactions in life occur over
the long run. Relationships between people
and businesses involve mutual trust.
37. Caution About Game Theory
⢠Not all games are like the prisonerâs
dilemma
â Not all games have a dominant strategy
â Not all games have a pure strategy like the
Nash equilibrium
⢠Think about Paper, Rock, Scissors
â Your best response is differen,t depending on
what your opponent throws. There is no
dominant hand to play.
39. Oligopoly Policy:
Antitrust
⢠Antitrust policy
â Government efforts that attempt to prevent
oligopolies from behaving like monopolies
⢠Sherman Act of 1890
â âEvery person who shall monopolize, or
attempt to monopolize, or combine or
conspire with any other person or persons, to
monopolize any part of the trade or commerce
among the several States, or with foreign
nations, shall be deemed guilty of a felony.â
40. Oligopoly Policy:
Antitrust
⢠Clayton Act of 1914 added a few more
items that were considered detrimental
â Price discrimination that lessens competition
â Exclusive dealings that restrict the ability of a buyer
to deal with competitors
â Tying arrangements (similar to bundling)
â Mergers that lessen competition
â Prevents a person from serving as a director on more
than one board in the same industry
41. Predatory Pricing
⢠Predatory pricing
â Firms set prices below AVC with the
intent of driving rivals from the market
â Illegal, but difficult to prosecute
â Often difficult to distinguish between
predatory pricing and intense market
competition
⢠Examples:
â Wal-Mart is often assumed to be a
predator but is never prosecuted
â Microsoft was prosecuted eventually for
tying, but not for predatory pricing
43. Network Externalities
⢠Network externality
â Occurs when the number of customers
who purchase a good influences the
quantity demanded
â Often is a factor in whether the resulting
market structure is oligopoly
â Classic examples include technologies
such as cell phones and fax machines
⢠A new technology has to reach âcritical massâ
before it is effective for consumers
⢠How useful would a fax machine be if only 10
people had the machine?
44. Network Externalities
⢠Positive network externalities
â Bandwagon effect
â Individual preferences for a good
increase as the number of people
buying the good increases
â Internet, social networks, cell
phones, fax machines,
MMORPGs, video game
consoles, fads, night clubs
45. Network Externalities
⢠Negative network externalities
â Snob effect
â Individual preferences for a good
decrease as the number of people buying the
good increases
â Exotic pets and sports cars
â Hipsters
â Services that are prone to âcongestion.â Pool,
beach, student union gets âtoo crowded,â and you
donât want to go.
46. Network Externalities
⢠Switching costs
â Costs that are incurred by a consumer when he
switches suppliers
â Another advantage to a firm having a large network
â Demand for existing product becomes more
inelastic if costs of switching to a new product are
higher
⢠Example: cellphone providers
â Early termination fees
â Free in-network calls
â FTC reduced switching costs in 2003 by requiring
phone companies to allow a consumer to take their
old phone number to a new provider
47. Price Taking Price Making
Perfect Competition
Monopolistic
Competition
Oligopoly Monopoly
1. Many firms 1. Many firms 1. Few firms 1. One firm
2. Atomistic assumptionâfirms
are so small that no single
buyer or seller has ANY control
over price
2. Each firm has
some control over
price
2. Medium to high
entry barriers to
entry. The firm has
more control over
price.
2. Extremely high
barriers to entry.
The firm has
significant control
over price.
3. Firms are so small that no
single buyer or seller has ANY
control over price
3. Product
differentiation
3. Mutual
interdependence
3. The firm IS the
industry
4 Homogeneous output 4. Easy entry/exit
4. Long run
economic profit
possible
4. Long run
economic profit
probable
5. There is perfect information
about product price and quantity
5. Output can be
homogenous or
differentiated
6. Easy entry/exit
48. More Game Theory in Media
⢠This link provides further examples of game
theory in media and contains links to video clips
49. Conclusion
⢠Oligopoly
â A market structure in which there are a small number
of firms
â Firms interact strategically
â Can be competitive (results closer to monopolistic
competition)
â Can be collusive (results closer to monopoly)
⢠Antitrust policies
â Restrain excessive market power
â Give incentives to compete instead of collude
â Each industry examined on a case-by-case basis
50. Summary
⢠Oligopoly: a small number of firms sell a
differentiated product in a market with significant
barriers to entry. The small number of sellers in
oligopoly leads to mutual interdependence.
â An oligopolist is like a monopolistic competitor in that
it sells differentiated products.
â It is also like a monopolist in that it enjoys significant
barriers to entry.
⢠Oligopolists have a tendency to collude and to
form cartels in hope of achieving monopolylike
profits.
51. Summary
⢠Oligopolistic markets are socially inefficient since
P > MC. The result under oligopoly will fall
somewhere between the competitive and
monopoly outcomes.
⢠Game theory helps determine when cooperation
among oligopolists is most likely.
â In many cases, cooperation fails to materialize
because decision-makers have dominant strategies
that lead them to be uncooperative.
â This causes firms to compete with price, advertising,
or R & D when they could potentially earn more profit
by curtailing these activities.
52. Summary
⢠A dominant strategy ignores the long run
benefits of cooperation and focuses solely on
the short run gains
â Whenever repeated interaction exists, decision-
makers fare better under tit for tat, an approach that
maximizes the long run profit
⢠Antitrust laws are complex and cases are hard to
prosecute, but they provide firms an incentive to
compete rather than collude
⢠The presence of significant positive network
externalities causes small firms to be driven out
of business or to merge with larger competitors
53. Practice What You Know
Which of the following is most likely to
become an oligopoly industry?
A. An industry without entry barriers
B. An industry where economies of scale are
very small
C. An industry with sizeable network effects
D. An industry with hundreds of competitors
54. Practice What You Know
Which of the following is true about
oligopoly?
A. Oligopolies are illegal in the United
States
B. All oligopoly industries will try to collude
C. Oligopoly industries generally have a high
concentration ratio
D. Firms in an oligopoly act independently
from other firms in the oligopoly
55. Practice What You Know
Why do cartel deals tend not to last?
A. Each firm in the cartel has a dominant
strategy to be uncooperative and defect
from the cartel agreement
B. Cartel profits are lower than competitive
profits
C. Cartels create more competition
D. Firms know that cartels are often illegal
so they break the deal to escape
56. Practice What You Know
What is an example of a good with a
positive network effect?
A. An online multiplayer game
B. A fast-food burger
C. A dry-cleaning service
D. A cable TV subscription
57. Practice What You Know
How can a pure strategy Nash
equilibrium be accurately described?
A. It is always the overall best outcome
B. Itâs an outcome in which neither player
wants to change strategies
C. It can only be reached by collusion
D. One exists in all games
Hinweis der Redaktion
Lecture notes:
For differentiated products, think about different brand names. Cereals, snacks, candy bars, fast-food restaurants.
Lecture notes:
On a âspectrumâ of market structures, oligopoly would be closer to monopoly than to perfect competition. Monopoly and oligopoly both have significant barriers to entry.
Strategic interaction is a characteristic unique to oligopoly.
Car manufacturing is an example of oligopoly. The âBig Threeâ are comprised of Ford, Chrysler, and GM.
Chevrolet is a brand produced by General Motors.
Lecture notes:
The table shows that on a âspectrumâ of market structures, oligopoly lies in between monopolistic competition and monopoly.
Oligopoly is two or more sellers (but not very many).
In addition, there are significant barriers to entry.
Oligopoly is closer to monopoly than it is to perfect competition.
A single firm in oligopoly (called an oligopolist) will enjoy more market power than a firm in monopolistic competition.
âOligarchyâ = rule by a few
âOligopolyâ = market structure with a few firms
Lecture notes:
Intuition:
Weâre asking how concentrated the industry is. . . . Concentrated within a few firms, or more spread out?
The four-firm concentration ratio examines the largest four firms in the industry and states what percentage of the industry sales are controlled by these four firms.
If the concentration ratio is high (closer to 100%), then the industry is more concentrated, and there is less competition with a high degree of power in those four firms.
If the concentration ratio is lower (closer to 0%), then the industry is less concentrated with more competition, and market power is more dispersed among many firms rather than a few dominant firms.
The eight-firm concentration ratio does the same analysis using eight firms instead of four.
Lecture notes:
Top of the table:
Very concentrated industries. Top four firms make up almost entire industry.
Search engines and satellite TV providers are true oligopolies!
Bottom of the table:
Still concentrated, but there are more âfringeâ competitors in the household appliance and automobile industries.
From the Text:
Duopoly sits between the two extremes. Competition still exists, but it is not as extensive as you would see in competitive markets, which ruthlessly drive the price down to cost. Nor does the result always mirror that of monopoly, where competitive pressures are completely absent. In an oligopoly, a small number of firms feel competitive pressures and also enjoy some of the advantages of monopoly.
In a duopoly, the two firms can also decide to cooperate (though this is illegal in the United States, as we will discuss shortly). If the duopolists cooperate, we say that they collude. Collusion is an agreement among rival firms that specifies the price each firm charges and the quantity it produces. Given the opportunity to collude, firms can act like a single monopolist to maximize the profit they earn.
Lecture notes:
A monopoly is just one firm.
A duopoly has just two firms. The duopolists say âWeâre so close to a monopoly. . . . What would a monopolist do with price and quantity? Letâs agree and cooperate (instead of compete) to get to the monopoly price and output.â
A cartel is a joint monopoly among multiple firms. The industry profits will be equal to monopoly profits, and then these profits are split among the firms in the cartel.
Lecture notes:
Weâll see this in the table in the next few slides, and also examine it with game theory.
Storyline:
Firms in a duopoly realize that a cartelized monopoly is more profitable than a duopoly.
Firms shake hands, and agree to become a cartel and restrict output.
Each individual firm in the cartel says âWait a minute . . . if they all restrict their output, price goes up. I should produce more!â At least one firm may eventually âcheatâ and break the cartel deal.
The cartel falls apart, no one trusts each other, and the firms go back to duopoly competition.
Lecture notes:
Imagine a small town where there are only two providers who have cellphone towers. Both towers were built to service all of the customers in the town, so each carrier has substantial excess capacity when the customers are divided among the two carriers. Note that the table shows a downward-sloping demand function.
Also, since there is extra capacity on each network, the marginal cost of adding additional customers is zero. Thus, letâs assume that each firm (in this case) is just interested in maximizing revenue since costs are effectively zero.
Result of perfect competition? Competition drives the price down to P = MC.
Result of monopoly? Firm maximizes profits based on the industry demand curve as shown in the table.
Lecture notes:
Duopoly sits between the two extremes of perfect competition and monopoly. Competition still exists, but it is not as extensive as you would see in competitive markets, which drive the price down to cost. Nor does the result always mirror that of monopoly, where competitive pressures are completely absent. In an oligopoly, a small number of firms feel competitive pressures and also enjoy some of the advantages of monopoly.
This slide shows the collusive result. The firms ask: âWhat would a monopoly doâ? Then, they make that result happen. But on the next slide, weâll see that this agreement can easily fall apart.
Lecture notes:
Horizon would certainly not sit on the sidelines and do nothing while AT-Phone increases market share and profits. Horizon would decide that it should also cover 400 customers. For both firms to provide cellphone coverage to 400 customers, the market price would fall to $60. At this price level each firm earns $24,000 in profit, which is $3,000 less than when they served only 600 customers.
Lecture notes:
Another example:
If AT-Phone is serving 400 customers and Horizon decides to service 500 customers, the price of cellphone service will fall to $45. Horizon will make $45 Ă 500 customers, or $22,500. This is $1,500 less than what the company would have earned if it simply matched its rival at 400 customers for $60 each. So, although duopolists are unlikely to participate in an all-out price war, the result of their competition is more efficient than a monopoly. In the end, each firm will supply 400 customers, for a total of 800 customersâor 200 more than the monopolist would supply.
Lecture notes:
Interdependence occurs in oligopoly due to the size of each individual firm. When one firm owns a sizable share of the market, the decisions made by that one firm affect the market in a noticeable way, and therefore affect the decisions of competing firms.
Independence occurs in perfect competition. If each firm is just a âdrop in the bucketâ compared to the size of the industry, one competitorâs actions will have no noticeable effect on the market, and thus firms will choose actions independently of other firms.
Lecture notes:
On a downward-sloping industry demand curve, you can see that duopoly (or oligopoly in general) will have prices and quantities that are between competition and monopoly.
A collusive duopoly will try to charge the monopoly price and sell (jointly) the monopoly quantity. However, collusive agreements and cartels are often short lived.
âBeyond the Bookâ Slide
Lecture tip:
Ask the students what OPEC stands for.
Organization of Petroleum Exporting Countries
âBeyond the Bookâ Slide
Lecture tip:
Ask the students what is on fire in the picture.
Itâs a picture of an oil well in Kuwait burning.
Lecture notes:
The example we just explored above, featuring AT-Phone and Horizon, was an example of a Nash Equilibrium. The best strategy for AT-Phone and Horizon is to increase their output to 400 customers each. When both firms reach that level of output, neither has an incentive to change. Bear in mind that the rivals can do better if they collude. Under collusion, each rival serves 300 customers and their combined profits rise. However, as we saw, if one rival is willing to break the cartel, it will make more profit if it services 400 customers ($30,000) while the other firm continues to serve only 300 ($22,500). The firms continue to challenge each other until they reach a combined output level of 800 customers. At this point the market reaches Nash Equilibrium and neither firm has a reason to change its short-term profit-maximizing strategy.
Lecture notes:
You can think that with market power, you DO have the ability to affect the price when you increase your output.
By itself, the output effect is a gain. You sell more units. However, by selling more units, the price for all units is lowered. The price effect by itself is a loss (selling units at lower prices).
It the gain is bigger than the loss, the firm will increase profits by selling more units.
Lecture notes:
Weâll see with game theory that in a cartel, each firm has the option to hold back output or increase output. Increasing output will be the dominant strategy for an individual firm to pursue, but it goes against the cartelâs best interest.
When this happens, the cartel falls apart.
Lecture notes:
For game theory, note that we can often represent simultaneous games (where players make a decision at the same time) as a matrix.
The matrix can show clearly the three elements of game theory we can examine in this chapter.
Players
Strategies
Payoffs
Lecture tip:
You can briefly explain the game here, but it may be best to go over the players, strategies, and payoffs while showing the game in matrix form on the next slide.
The story here is important because students need to know the following:
The prisoners are separated (they donât know what choice the other prisoner will make)
The prisoners are aware of their choices, the other prisonerâs choices, and all the possible payoffs.
Lecture tip:
This slide is just about presenting the game, and defining elements of the game. No intuition about dominant strategies is given until the next slide.
Discuss the three parts of the game shown in the matrix:
Players (Louise and Thelma)
Strategies (Confess and Keep Quiet)
In this game, each player has the same two strategies. However, note that there are games where players may have different strategies or even a different number of strategies. I may have two strategies, and you may have three strategies. The strategies are not always the same for all players.
Payoffs (Years in jail, or going free)
The players, strategies, and payoffs are color-coordinated to help understanding of the matrix.
Information: the players each know their own strategies, the other playerâs strategies, and the possible payoffs.
Examining payoffs:
Note that there are four possible outcomes of this game.
For example:
If Louise confesses and Thelma confesses, Louise gets 10 years in jail, and Thelma gets 10 years in jail.
If Louise keeps quiet and Thelma confesses, Louise gets 25 years in jail, and Thelma goes free.
IMPORTANT Lecture tip:
Click through this slide one âanimationâ at a time, and explain each step thoroughly. This may be a long slideâŚ
Every time you see (*) in the teaching notes, you should click to the next animation.
Ask the students: Which outcome do you think we will arrive at? What is the âbestâ strategy for each player (Louise and Thelma) to choose?
(*)Start with Louise:
Louise needs to ask herself: What my best response to Thelmaâs possible strategies? In other words, what is the best thing for Louise to do if Thelma confesses? What is the best thing for Louise to do if Thelma keeps quiet?
(*)Suppose Thelma confesses: (looking at the LEFT COLUMN)
(*)If Louise had confessed, Louise would get 10 years in jail.
(*)If Louise had kept quiet, Louise would get 25 years in jail.
(*)Thus, confessing is the best response for Louise if Thelma confesses.
(10 years in jail is better than 25 years in jail)
(*)Suppose Thelma kept quiet: (looking at the RIGHT COLUMN)
(*)If Louise had confessed, Louise would get go free and get 0 years in jail!
(*)If Louise had kept quiet, Louise would get 1 year in jail.
(*)Thus, confessing is best response for Louise if Thelma kept quiet.
(0 years in jail is better than 1 year in jail)
(*)We see that it is best for Louise to confess, NO MATTER WHAT THELMA DOES!!! This is what we call a dominant strategy.
(*)Now, we examine Thelma.
Thelma needs to ask herself: What my best response to Louiseâs possible strategies? In other words, what is the best thing for Thelma to do if Louise confesses? What is the best thing for Thelma to do if Louise keeps quiet?
(*)Suppose Louise confesses: (looking at the TOP ROW)
(*)If Thelma had confessed, Thelma would get 10 years in jail.
(*)If Thelma had kept quiet, Thelma would get 25 years in jail.
(*)Thus, confessing is the best response for Thelma if Louise confesses.
(10 years in jail is better than 25 years in jail)
(*)Suppose Louise kept quiet: (looking at the BOTTOM ROW)
(*)If Thelma had confessed, Thelma would get go free and get 0 years in jail!
(*)If Thelma had kept quiet, Thelma would get 1 year in jail.
(*)Thus, confessing is best response for Thelma if Louise kept quiet.
(0 years in jail is better than 1 year in jail)
(*)We see that it is best for Thelma to confess, NO MATTER WHAT LOUISE DOES!!! Thelma also has a dominant strategy of confess.
Each player will play their dominant strategy, because each player is a rational individual that wants to maximize HER OWN payoffs.
Lecture tip:
Examine the table again.
Each player decides to confess, but this means they each spend 10 years in jail.
If you examine the table closely, youâll see that there is another outcome (both keeping quiet) in which BOTH players will be better off by spending only one year in jail.
Thus, the Nash equilibrium of the game is NOT Pareto optimal, because there is another outcome in which both players could be better off. That is why itâs called the âdilemma.â Both prisoners could spend just a small time in jail, but weâll end up at an equilibrium where they both spend a lot of time in jail.
The reason for this outcome is that confessing is a dominant strategy for both players. Itâs better for each player to confess, no matter what the other player does.
Lecture notes:
A rational player will always choose their dominant strategy. An individual will always want to maximize his payoffs (utility).
Unilaterally deviate means that I would want to change my strategy if you donât. If I do NOT want to unilaterally deviate, it means that I do NOT want to change (deviate) from my current strategy, given that you donât change your strategy.
Economics in the media
Lecture tip:
The clip mentioned on the slide can be found in the Interactive Instructorâs Guide. Access the direct link by clicking the icon in the PowerPoint above.
Economics in the media
Lecture tip:
The clip mentioned on the slide can be found in the Interactive Instructorâs Guide. Access the direct link by clicking the icon in the PowerPoint above.
Lecture notes:
This is a duopoly firm game, similar to the prisonerâs dilemma.
Each firm can choose LOW or HIGH production.
LOW = 300 consumers
HIGH = 400 consumers
The payoffs are given in profits for the firm. Higher profits are better!
Examine the table.
Ask the students the following questions:
What is the dominant strategy for each firm?
What is the Nash equilibrium of this game?
How is this similar to the prisonerâs dilemma?
Then, analyze the table:
The dominant strategy is to produce HIGH. Look at Horizon. $30,000 >$27,000 (if AT-Phone produces low), and $24,000 > $22,500 (if AT-Phone produces HIGH). The same numbers are compared for AT-Phone. The dominant strategy for each firm is HIGH production.
The Nash equilibrium is (HIGH, HIGH), with payoffs of ($24,000; $24,000). This is shown by the purple box. Click to animate.
This is similar to the prisonerâs dilemma because both firms would be better if they chose (LOW, LOW). There is a strong incentive to produce HIGH, since HIGH is the dominant strategy, even though this Nash equilibrium of (HIGH, HIGH) is not Pareto optimal. (There exists another outcome in which both players are better off). This is shown by the yellow box. Click to animate.
(LOW, LOW) would be a cartel outcome if the firms colluded to become a joint monopoly. However, each firm would have a strong incentive to âbreakâ that deal and overproduce.
Lecture notes:
This is a duopoly firm game, similar to the prisonerâs dilemma.
Each firm can choose Advertise or Do Not Advertise production.
Examine the table.
Ask the students the following questions:
What is the dominant strategy for each firm?
What is the Nash equilibrium of this game?
How is this similar to the prisonerâs dilemma?
Short analysis:
The dominant strategy for Pepsico is advertise. 100 > 75, and 150 > 25.
The dominant strategy for Coca-Cola is advertise. 100 > 75, and 150 > 25.
The intersection of the dominant strategies is the Nash equilibrium.
Long analysis:
The dominant strategy is to Advertise. Look at Pepsico. $100M >$75M (if Coca-Cola Advertises), and $150M > $125M (if Coca-Cola does NOT advertise). The same numbers are compared for Coca-Cola. The dominant strategy for each firm is Advertise.
The Nash equilibrium is (Advertise, Advertise), with payoffs of ($100M; $100M).
This is similar to the prisonerâs dilemma because both firms would be better if they each chose NOT to advertise. There is a strong incentive to Advertise, since Advertise is the dominant strategy, even though this Nash equilibrium of (Advertise, Advertise) is not Pareto optimal. (There exists another outcome in which both players are better off, and that outcome is for no one to advertise).
Lecture notes:
End result:
If both firms advertise, there is no real demand increase for either product. However, both firms still have to pay for the ad campaign, so costs are higher, and profits are lower.
Picture: Two firms are advertising right next to each other! In the picture, this type of advertising is pretty cheap, but most advertising (TV, radio, Internet), can get very expensive.
âBeyond the Bookâ Slide
Before the law was passed manufacturers spent $300 million on advertisingâ$60 million more than they spent the year after the law was enacted. Much of this saving in advertising expense was reflected in higher profits at the end of the year.
But if eliminating advertising made them more profitable, why didnât they do it on their own? Once again, because advertising was a dominant strategy.
Economics in the media
Lecture tip:
The clip mentioned on the slide can be found in the Interactive Instructorâs Guide. Access the direct link by clicking the icon in the PowerPoint above.
Lecture notes:
An individual must consider short run and long run payoffs. What if we play the game more than once? If I hurt the opponent today, will he hurt me back tomorrow?
Lecture notes:
Key idea:
A game is played multiple times. At the end of each âround,â the strategies chosen are revealed and payoffs are given.
If you hurt me in round 1, I hurt you in round 2. We eventually see that hurting each other is bad in the long run, so we start to cooperate.
Lecture tip:
Here just emphasize that not all games have a dominant strategy. Not all games have a clear âbestâ strategy to always play. If that was the case, the outcome of all games would be extremely predictable, assuming rational players participate.
In addition, realize that some games involve certain levels of random events each with various probabilities as well (coin flipping, dice rolling).
Lecture notes:
Basically, Joeyâs and Rachelâs best responses are different depending on what the opponent does. There is no dominant strategy. In addition, at all outcomes, one player will always want to change strategy. There is no pure strategy Nash Equilibrium in this game as well.
Note that this particular game is zero-sum. One personâs win is equal to the other personâs loss.
From the Text:
In this competition neither Rachel nor Joey has a dominant strategy that guarantees success. Sometimes Joey wins when hitting right, other times he loses the point. Sometimes Rachel wins when she guesses left, other times she loses. When guessing where the ball will be hit each player will only guess correctly half the time. Since we cannot say what each player will do from one point to another there is no Nash equilibrium. Any of the four outcomes are equally likely on successive points and there is no way to predict how the next point will be played. This example was included here so that you would not grow to expect every game to include a prisonerâs dilemma and produce a Nash equilibrium. Game theory, like real life, has many different possible outcomes.
From the Text:
Efforts to curtail the adverse consequences of oligopolistic cooperation began with the Sherman Antitrust Act of 1890. This was the first federal law to place limits on cartels and monopolies. The Sherman Act was created in response to the increase in the concentration ratios in many leading U.S. industries, including steel, railroads, mining, textiles, and oil. Prior to the passage of the Sherman Act, firms were free to pursue contracts that created mutually beneficial outcomes. Once the act took effect, certain cooperative actions became criminal.
From the Text:
Additional legislation, and court interpretations of existing antitrust law, have made it difficult to determine whether or not a company has violated the law. The U.S. Justice Department is charged with oversight but it often lacks the resources to be able to fully investigate every case. Antitrust law is complex and cases are hard to prosecute, but these laws are essential to maintain a competitive business environment. Without effective restraints on excessive market power, firms would organize into cartels more often or find ways to restrict competition.
Lecture tip:
Questions to ask students:
Can an incumbent firm survive a temporary loss? Probably.
Can a new firm survive losses? Not as likely.
What does the incumbent firm do to prices after the newcomer leaves? Raises prices again.
The person in the photo is Bill Gates, CEO of Microsoft.
âBeyond the Bookâ Slide
Spirit Airlines accused Northwest Airlines of doing this sort of pricing scheme in the NWA hubs of Minneapolis and Detroit.
Story:
An incumbent firm is operating its business profitably.
A rival enters, hoping to make profits.
The incumbent lowers prices so low that they are below AVC. The incumbent firm is even experiencing losses.
Eventually, the new competitor leaves. He canât compete with the super-low price. (Remember that prices send a signal about the profitability of a market.)
The incumbent firm raises its prices after the potential competitor exits.
Lecture notes:
Picture: an old-school cell phone. Network externalities allow cell phones to be useful for many people.
For example, the sheer size of Facebook makes it a better place to do social networking than MySpace. As a result, Facebook will be able to grow its business even if MySpace, Google, or another rival builds a social networking site with better features. Without enough users the best social networking site is simply an empty shell with no value to the consumer. As a result, the first firm to enter the market is often the one that ends up dominating the industry.
Lecture notes:
Positive network externalities
The bandwagon effect is a positive feedback loopâpopularity makes the good more popular, and it seems like demand can grow rapidly once a tipping point is reached.
MMORPRG = Massively multiplayer online role playing game. Think World of Warcraft. The game is popular partly because there are so many people playing it online. Itâs even become an advertising point for the game.
Facebook is a great example as well. The value of it increases when there are more people you can connect with.
These types of externalities can help a product âdominateâ the industry when it becomes so large that all other competitors seem small and undesirable by comparison. This domination may lead to the elimination of a competitor with incompatible products. Think about HD-DVD being eliminated by Blu-ray, and Betamax being eliminated by the VCR.
Lecture notes:
Negative network externalities.
Beyond high-end pricey stuff like luxury cars, sometimes goods, services, or activities just donât seem as appealing if there are already a bunch of people consuming the good. Many people donât like going to clubs, bars, restaurants, or beaches if it will be very loud or crowded.
Thus, you could often see that certain goods (perhaps a night club) may have both positive AND negative network externalities at some point as a function of the number of people in the club. Increasing the number of people in the club may make it more desirable (positive), but if it gets TOO crowded, you may not want to go (negative).
From the Text:
For instance, the transition from listening to music on CDs to using digital music files involved a substantial switching cost for many users. Today, among the many digital music options there are switching costs as well. Once a consumer has established a library of MP3s or uses iTunes, the switching costs of transferring the music from one format to another creates a significant barrier to change.
Oligopolists leverage not only the number of customers they maintain in their network, but they also try to make switching to another network more difficult.
Lecture notes:
This slide is a concise but informative review of the characteristics of all four market structures.
âBeyond the Bookâ Slide
Link: http://www.gametheory.net/popular/film.html
Recommendations: the Princess Bride clip and the Murder by Numbers clip.
Clicker Question
Correct answer: C
Noticeable network effects mean that there is only room for a small number of large networks. Oligopoly will develop after networks that are âtoo smallâ either go out of business or merge with other networks.
Clicker Question
Correct answer: C
When the industry is very concentrated with the size and power of the market owned by a few firms, we have an oligopoly.
Clicker Question
Correct answer: A
Looking at a payoff matrix, each firm has a dominant strategy to either overproduce quantity or undercut the price of competitors.
Clicker Question
Correct answer: A
Online gaming may have a higher demand if you can play with more people (a larger network).
Clicker Question
Correct answer: B
Just by definition, the Nash equilibrium is where no player wants to change strategies, given that the other player isnât changing his strategy. In other words, nobody wants to unilaterally deviate.
Not all games have a pure strategy Nash equilibrium. Paper, Rock, Scissors is an example of a game without an equilibrium.