Oligopoly Flashcards
Oligopoly
Markets with more than one entrant, more than one participant, but with a relatively small number of participants who have market power
Inbetween PC and monopolies
Cooperative oligopoly
Firms cooperate
Non-cooperative oligopoly
Firms don’t cooperate
Strategy
what you’re going to do in a game, is based on what you think your opponent is going to do
Game theory - equilibrium concept
The point at which the game ends, the point at which all of the players are satisfied. In particular, when the market is actually in equilibrium
Nash equilibrium
When no firm wants to change its actions, given what the other firms are doing; everything is basically stable
The Nash equilibrium consists of the strategies of each firm, so it is not a strategy by one player. A market with more than one participant is a non-monopolistic market. The Nash equilibrium often does not maximize social welfare.
Dominant strategy
The dominant strategy is the best strategy no matter what the other player does. The strategy does not necessarily maximize social welfare. There will be a dominant cooperative strategy and a dominant non-cooperative strategy.
In the prisoners’ dilemma - If the prisoners cannot communicate, what is the dominant strategy in the prisoner’s dilemma scenario presented in lecture?
The dominant strategy is to talk to the police. If the other prisoner talks, then you receive 2 years in jail if you talk and 5 years in jail if you stay silent. If the other prisoner stays silent, then you spend 0 years in jail if you talk and 1 year in jail if you stay silent. In either case, talking is the best strategy.
Inefficient Nash Equilibria
Non-cooperative equilibria will be worse than the cooperative equilibria, but still be the stable Nash equilibrium
How does a repeated game change the dominant strategy?
Essentially, you could use threats to enforce the cooperative equilibria and solve the problems of an inefficient Nash equilibria
(As long as you don’t advertise, I won’t. But, if you advertise once, then I’ll advertise forever)
What is required in repeated games, to ensure cooperative equilibria?
You have to commit to this decision forever. If you plan on ‘exiting’ the game, your incentives will change the last year…which will change the incentives the year before, etc. ultimately returning to the non-cooperative equilibria
Given that you know the repeated game runs out, you’ve destroyed the repeated game. So, repeated game solution is only good if it goes on forever
Cournot model of non-cooperative oligopoly
Set of quantities for each firm, holding other firms quantities constant, no firm can achieve a higher profit by choosing a different quantity (similar to Nash equilibrium concept)
The Cournot model is a model of non-cooperative oligopoly by definition. The difference between the Cournot model and the prisoner’s dilemma is that firms have a continuum of choices about what quantity to produce in the Cournot model.
Five steps of cournot model
- Solve for residual demand - what is the demand for your good, given what the other person is selling
- Develop MR function of the other guy’s quantity
- Set MR = MC for profit maximization
- Repeat this for all firms
- Solve “n” equations in “n” unknowns
Reaction/best response curve
Dominant strategy given what the other firm will do, for every possible decision the other firm could make (profit maximizing quantity given the residual demand for every single output that the other firm could produce, etc)
Cournot equilibrium
Where the best response curves of the firms intersect
The point at which they are both satisfied; can’t do any better given what the other firm is doing. No reason to undercut the other firm at this point; profit-maximizing point for both firms.
By definition, the Cournot equilibrium is the stable equilibrium where firms do not have an incentive to deviate. This will be when both firms have a dominant strategy, which will be when the best response curves intersect. This may not be when marginal cost equals the price, because in a Cournot model, firms have market power. The Cournot model is a model of non-cooperative oligopoly.