Chapter 10 Flashcards
Marra’s Definition of Nash
each player is doing the best they can do given what the other player is doing
Value To Cooperation Formula
i
Value To Cheating
Profit(Cheating)- Profit(Cooperation)
In what condition does cheating make sense
profit(cheating)-profit(cooperation)> profit(cooperation)-profit(nash)/i
Interest Formula
profit(cheat)-profit(cooperation
Explain the relationship between profit and interest
…….notes
Nash equilibrium
A condition describing a set of strategies in which no player can improve her payoff by unilaterally changing her own strategy, given the other players’ strategies.
Principle: Put Yourself in Your Rival’s Shoes
If you do not have a dominant strategy, look at the game from your rival’s perspective. If
your rival has a dominant strategy, anticipate that he or she will play
Principle: Play Your Dominant Strategy
Check to see if you have a dominant strategy. If you have one, play it.
dominant
strategy
A strategy that results in the highest payoff to a player regardless of the opponent’s action.
simultaneous move
game
Game in which each player makes decisions without knowledge of the other players’ decisions.
Example of Sequential Move Games
- tic tac toe
- chess
- checkers
Examples of Simultaneous Move Games
- rock, paper, and scissors
- dueling
Value Formula: Cooperation
i
Value Formula: Cheating
Profit Cheat - Profit Cooperation
Rational For Cheating Equation
Profit Cheat - Profit Cooperation ————> Profit Cooperation - Profit Nash /i
Interest Formula
Profit Cheat- Profit Cooperation
when the interest
rate is low, firms may find it in their interest to
collude and charge high prices,
unlike in the case of a one-shot game.
How is finitely repeated unknown similar to infinitely repeated?
the analysis of each is the same
Finite Games Unknown Formula
Profit cheat= (profit cooperation )/θ
Finite Known: If Finite is know how will game be played
from Nash equilibrium
Collusive Points
- number of firms(preferably small)
- detection of cheating
- cost of retaliation
- credible threat
- predictable demand conditions
Elaborate on the Factors That Affect Collusion
- number of firms(preferably small)
- detection of cheating
- cost of retaliation
- credible threat
- predictable demand conditions
Factors That Affect Collusion
- number of firms(preferably small)
- detection of cheating
- cost of retaliation
- credible threat
- predictable demand conditions