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A2 Micro
Oligopoly – Collusion and
Game Theory
Tutor2u, Summer 2013
Tacit collusion
Overt collusion
Aims of price fixing by firms
Businesses recognise their interdependence –
act together to maximise joint profits
Cut some of the costs of competition e.g.
wasteful advertising / marketing wars
Reduces uncertainty – higher profits increases
producer surplus / shareholder value
Aims of price fixing by firms
Businesses recognise their interdependence –
act together to maximise joint profits
Cut some of the costs of competition e.g.
marketing wars
Reduces uncertainty – higher profits increases
producer surplus / shareholder value
Aims of price fixing by firms
Businesses recognise their interdependence –
act together to maximise joint profits
Cut some of the costs of competition e.g.
marketing wars
Reduces uncertainty – higher profits increases
producer surplus / shareholder value
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
Q1
P1
P1 becomes cartel price
When there are only a few dominant firms in a market, they can engage in
RESTRICTIVE PRACTICES (such as cooperate to restrict output or fix higher prices)
P1
Q1
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
MC Firm A
AC Firm A
P1 becomes cartel price
P1
P1
Q1
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
MC Firm A
AC Firm A
P1 becomes cartel price
P1
Output
quota for
firm
P1
Q1
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
MC Firm A
AC Firm A
P1 becomes cartel price
P1
Output
quota for
firm
C1
Super-normal
profit for this
firm in the cartel
Profit at
cartel price
and staying
within the
quota
P1
Q1
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
MC Firm A
AC Firm A
P1 becomes cartel price
P1
Output
quota for
firm
C2
Cheating –
exceeding
the quota
Higher profit
from producing
in excess of the
output quota
Increasing
output to
achieve
higher
profits
P1
Q1
Cost & Price
Output (Q)
Price-Fixing Cartel in an Oligopoly
Cost & Price
Output (Q)
Industry Demand and Costs Cartel Price and the Individual Member
MC
MR AR
MC Firm A
AC Firm A
P1 becomes cartel price
P1
Output
quota for
firm
C2
Cheating –
exceeding
the quota
RISK!
Over-supply
threatens
stability of
cartel
Why are many cartel agreements unstable and
tend to collapse or break down?
Falling market demand Over-production
Exposure by authorities Entry of non-cartel firms
Why are many cartel agreements unstable and
tend to collapse or break down?
Falling market demand Over-production
Exposure by authorities Entry of non-cartel firms
Why are many cartel agreements unstable and
tend to collapse or break down?
Falling market demand Over-production
Exposure by authorities Entry of non-cartel firms
Why are many cartel agreements unstable and
tend to collapse or break down?
Falling market demand Over-production
Exposure by authorities Entry of non-cartel firms
Oligopolistic Energy Market in the UK
Three million EDF Energy customers
will see their gas and electricity bills
rise by nearly 11 per cent on average
from December 7. The company, which
is blaming high wholesale energy costs
for the price rise, is the fifth major
energy firm to announce an increase in
recent months, following Scottish
Power, nPower, British Gas and SSE.
Tacit
collusion?
Price leader?
Renewables
obligations
Oligopolistic Energy Market in the UK
Three million EDF Energy customers
will see their gas and electricity bills
rise by nearly 11 per cent on average
from December 7. The company, which
is blaming high wholesale energy costs
for the price rise, is the fifth major
energy firm to announce an increase in
recent months, following Scottish
Power, nPower, British Gas and SSE.
Tacit
collusion?
Price leader?
Renewables
obligations
Oligopolistic Energy Market in the UK
Three million EDF Energy customers
will see their gas and electricity bills
rise by nearly 11 per cent on average
from December 7. The company, which
is blaming high wholesale energy costs
for the price rise, is the fifth major
energy firm to announce an increase in
recent months, following Scottish
Power, nPower, British Gas and SSE.
Tacit
collusion?
Price leader?
Renewables
obligations
Oligopolistic Energy Market in the UK
Three million EDF Energy customers
will see their gas and electricity bills
rise by nearly 11 per cent on average
from December 7. The company, which
is blaming high wholesale energy costs
for the price rise, is the fifth major
energy firm to announce an increase in
recent months, following Scottish
Power, nPower, British Gas and SSE.
Tacit
collusion?
Price leader?
Renewables
obligations
Game Theory and Collusion
Game theory is the study of how
people behave in strategic
situations (i.e. when they must
consider the effect of other
people’s responses to their own
actions).
In an oligopoly, each company
knows that its profits depend on
actions of other firms.
This gives rise to the "prisoners’
dilemma".
Oligopoly theory makes
heavy use of game theory
to model the behaviour of
oligopolies
The Prisoners’ Dilemma
Comment on the best strategies for each
player and the likely outcome in this game
Prisoner B
Silent Betray
Prisoner
A
Silent (6M,6M) (10Y,0)
Betray (0,10Y) (5Y,5Y)
The Prisoners’ Dilemma
Prisoner B
Silent Betray
Prisoner
A
Silent (6M,6M) (10Y,0)
Betray (0,10Y) (5Y,5Y)
Comment on the best strategies for each player and the likely
outcome in this game
The prisoners' dilemma is
a particular game that
illustrated why it is
difficult to cooperate,
even when it is in the best
interest of both parties.
Both players select their
own dominant strategies
for short-sighted personal
gain. Eventually, they
reach an equilibrium in
which they are both worse
off than they would have
been, if they could both
agree to select an
alternative (non-
dominant) strategy.
The Prisoners’ Dilemma – Decision Trees
Prisoner B
Silent Betray
Prisoner
A
Silent (6M,6M) (10Y,0)
Betray (0,10Y) (5Y,5Y)
Pricing Game
B
Profit High Prices Low Prices
A
High
Prices
$3 bn; $3 bn $0 bn,$5 bn
Low
Prices
$5 bn; $ 0bn $1 bn, $1 bn
In this two firm game, they have to decide whether to set high or low prices
The table shows the profits (pay-offs) that results from each set of choices
Pricing Game
B
Profit High Prices Low Prices
A
High
Prices
$3 bn; $3 bn $0 bn,$5 bn
Low
Prices
$5 bn; $ 0bn $1 bn, $1 bn
Whilst both firms want to charge high prices, there is always the incentive to
undercut the other to steal market share, but this leads to a mutually
destructive price war (low price, low price gives a sub-optimal outcome)
Game Theory Applications for Business
• Interdependent pricing
• Decisions on how much to spend on
– Research and development
– Marketing
– New product launches
• Co-operative and collaboration between
businesses (Trust)
Get help from fellow
students, teachers and
tutor2u on Twitter:
@tutor2u_econ

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Oligopoly Collusion Game Theory

  • 1. A2 Micro Oligopoly – Collusion and Game Theory Tutor2u, Summer 2013
  • 4. Aims of price fixing by firms Businesses recognise their interdependence – act together to maximise joint profits Cut some of the costs of competition e.g. wasteful advertising / marketing wars Reduces uncertainty – higher profits increases producer surplus / shareholder value
  • 5. Aims of price fixing by firms Businesses recognise their interdependence – act together to maximise joint profits Cut some of the costs of competition e.g. marketing wars Reduces uncertainty – higher profits increases producer surplus / shareholder value
  • 6. Aims of price fixing by firms Businesses recognise their interdependence – act together to maximise joint profits Cut some of the costs of competition e.g. marketing wars Reduces uncertainty – higher profits increases producer surplus / shareholder value
  • 7. Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR Q1 P1 P1 becomes cartel price When there are only a few dominant firms in a market, they can engage in RESTRICTIVE PRACTICES (such as cooperate to restrict output or fix higher prices)
  • 8. P1 Q1 Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR MC Firm A AC Firm A P1 becomes cartel price P1
  • 9. P1 Q1 Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR MC Firm A AC Firm A P1 becomes cartel price P1 Output quota for firm
  • 10. P1 Q1 Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR MC Firm A AC Firm A P1 becomes cartel price P1 Output quota for firm C1 Super-normal profit for this firm in the cartel Profit at cartel price and staying within the quota
  • 11. P1 Q1 Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR MC Firm A AC Firm A P1 becomes cartel price P1 Output quota for firm C2 Cheating – exceeding the quota Higher profit from producing in excess of the output quota Increasing output to achieve higher profits
  • 12. P1 Q1 Cost & Price Output (Q) Price-Fixing Cartel in an Oligopoly Cost & Price Output (Q) Industry Demand and Costs Cartel Price and the Individual Member MC MR AR MC Firm A AC Firm A P1 becomes cartel price P1 Output quota for firm C2 Cheating – exceeding the quota RISK! Over-supply threatens stability of cartel
  • 13. Why are many cartel agreements unstable and tend to collapse or break down? Falling market demand Over-production Exposure by authorities Entry of non-cartel firms
  • 14. Why are many cartel agreements unstable and tend to collapse or break down? Falling market demand Over-production Exposure by authorities Entry of non-cartel firms
  • 15. Why are many cartel agreements unstable and tend to collapse or break down? Falling market demand Over-production Exposure by authorities Entry of non-cartel firms
  • 16. Why are many cartel agreements unstable and tend to collapse or break down? Falling market demand Over-production Exposure by authorities Entry of non-cartel firms
  • 17. Oligopolistic Energy Market in the UK Three million EDF Energy customers will see their gas and electricity bills rise by nearly 11 per cent on average from December 7. The company, which is blaming high wholesale energy costs for the price rise, is the fifth major energy firm to announce an increase in recent months, following Scottish Power, nPower, British Gas and SSE. Tacit collusion? Price leader? Renewables obligations
  • 18. Oligopolistic Energy Market in the UK Three million EDF Energy customers will see their gas and electricity bills rise by nearly 11 per cent on average from December 7. The company, which is blaming high wholesale energy costs for the price rise, is the fifth major energy firm to announce an increase in recent months, following Scottish Power, nPower, British Gas and SSE. Tacit collusion? Price leader? Renewables obligations
  • 19. Oligopolistic Energy Market in the UK Three million EDF Energy customers will see their gas and electricity bills rise by nearly 11 per cent on average from December 7. The company, which is blaming high wholesale energy costs for the price rise, is the fifth major energy firm to announce an increase in recent months, following Scottish Power, nPower, British Gas and SSE. Tacit collusion? Price leader? Renewables obligations
  • 20. Oligopolistic Energy Market in the UK Three million EDF Energy customers will see their gas and electricity bills rise by nearly 11 per cent on average from December 7. The company, which is blaming high wholesale energy costs for the price rise, is the fifth major energy firm to announce an increase in recent months, following Scottish Power, nPower, British Gas and SSE. Tacit collusion? Price leader? Renewables obligations
  • 21. Game Theory and Collusion Game theory is the study of how people behave in strategic situations (i.e. when they must consider the effect of other people’s responses to their own actions). In an oligopoly, each company knows that its profits depend on actions of other firms. This gives rise to the "prisoners’ dilemma". Oligopoly theory makes heavy use of game theory to model the behaviour of oligopolies
  • 22.
  • 23. The Prisoners’ Dilemma Comment on the best strategies for each player and the likely outcome in this game Prisoner B Silent Betray Prisoner A Silent (6M,6M) (10Y,0) Betray (0,10Y) (5Y,5Y)
  • 24. The Prisoners’ Dilemma Prisoner B Silent Betray Prisoner A Silent (6M,6M) (10Y,0) Betray (0,10Y) (5Y,5Y) Comment on the best strategies for each player and the likely outcome in this game The prisoners' dilemma is a particular game that illustrated why it is difficult to cooperate, even when it is in the best interest of both parties. Both players select their own dominant strategies for short-sighted personal gain. Eventually, they reach an equilibrium in which they are both worse off than they would have been, if they could both agree to select an alternative (non- dominant) strategy.
  • 25. The Prisoners’ Dilemma – Decision Trees Prisoner B Silent Betray Prisoner A Silent (6M,6M) (10Y,0) Betray (0,10Y) (5Y,5Y)
  • 26. Pricing Game B Profit High Prices Low Prices A High Prices $3 bn; $3 bn $0 bn,$5 bn Low Prices $5 bn; $ 0bn $1 bn, $1 bn In this two firm game, they have to decide whether to set high or low prices The table shows the profits (pay-offs) that results from each set of choices
  • 27. Pricing Game B Profit High Prices Low Prices A High Prices $3 bn; $3 bn $0 bn,$5 bn Low Prices $5 bn; $ 0bn $1 bn, $1 bn Whilst both firms want to charge high prices, there is always the incentive to undercut the other to steal market share, but this leads to a mutually destructive price war (low price, low price gives a sub-optimal outcome)
  • 28. Game Theory Applications for Business • Interdependent pricing • Decisions on how much to spend on – Research and development – Marketing – New product launches • Co-operative and collaboration between businesses (Trust)
  • 29. Get help from fellow students, teachers and tutor2u on Twitter: @tutor2u_econ