Micro Flashcards
Posner
(2003)
Cartels can cause price increase of between 30% (sugar) and 100% (rubber), causing social costs (as a percentage of industry sales) of 35% (sugar) to 75% (rubber).
Likelihood of collusion factors (8)
8, 5 with models. discount rate # Firms Sales frequency Ease of detecting cheating Cost asymmetry Multimarket contact Leniency Programmes Coordination difficulties
Connor
(2003)
Median number of cartel participants is 5. 77% have less than 6.
Supports the Bertrand # firms argument.
Cabral
(2000)
Danish authorities gathered and published concrete prices. Average prices rose by 15-20% in less than a year, with lower variance.
Supports the ease of detection argument.
Rees
(1993)
Two firms, British Salt and ICI Weston Point.
British Salt had greater market share and lower costs.
Homogenous good, no prospects of entry.
17 price changes in ten years (1974-1984). Weston Point (the smaller firm) led with price increases from 81-84.
Rees finds that collusive outcomes sustianed: punishment significant enough and threat of punishment credible. Interestingly, smaller firm is price leadrer.
Measuring market power
Lerner Index
L = (Price - MC)/Price
What is L for monopoly? For Cournot? Perfect competition?
Measuring market concentration
Herfindahl Index
H is the sum of squared market shares. WHAT IS THE EQUATION?
What is H for monopoly? For oligopoly? Perfect competition?
CRRA formulae
= CRRA * Y
with two other equivalent forms.
CARA formula
A(y) = - U’’ (y) / U’ (y)
REMEMBER THE NEGATIVE
For small gambles, r(y) is approx. by 1/2A(y)variance
Baye and Morgan
(1999)
In the absence of a finite choke price, i.e. firms can raise prices indefinitely, there is a Bertrand-Nash equilibrium with P>C and positive profits.
I.e. Can have Bertrand with positive profits. Other possibility for this is Bertrand with diffrentiation.
Nash Equilibrium
Set of strategies such taht each player’s strategy is a best response to the other player’s.
Certainty Equivalent
U bar = U ( Ycertainty)
4 Conditions for GCE
- Households max utility subject to their budjet constraints
- Firms max profit subject to production function
- Profit is distributed to households according to shareholdings
- Supply = demand for each good
First Theorem
GCE is Pareto efficient.
Proof: At equilirium, MRS = price ratio for both consumers and firms.
Second Theorem
Assume preferences and production sets are convex (!). Then an Pareto efficient allocation can be achieved as a GCE with appropriate initial endowments.
5 Duopoly assumptions
- Two firms
- One shot
- HOMOGENOUS GOODS
- Linear inverse market demand. Q = Q1 + Q2
- Cost functions with CONSTANT MC and no fixed costs