Zero Sum or Non Zero Sum
What is a zero sum game?
is a situation when one person's win equals another person’s loss
Example: Has to be winner and loser(s)
What is a strategy?
A complete plan of action a player will take given the set of circumstances that might arise within the game
What is an objective?
The goal of the game
What are players?
A strategic decision-maker within the context of the game
What are payoffs?
The payout a player receives from arriving at a particular outcome
What is an example of a zero sum game?
ex: chess, basketball, connect four, spades, among us etc
What are two strategies we have studied in game theory?
Dominant Strategy and Nash's Equilibrium
What is the objective(s) of the game below?
Game Description:
Consider two people, Chris and Kim. They both enjoy each other's company, but neither can communicate with the other before deciding whether to stay at home (where they would not see each other) or go to the beach this afternoon (where they could see each other). Each prefers going to the beach to being at home, and prefers being with the other person rather than being apart.
To have the other person's company and going to the beach
Who are the players?
Game Description:
Consider two people, Chris and Kim. They both enjoy each other's company, but neither can communicate with the other before deciding whether to stay at home (where they would not see each other) or go to the beach this afternoon (where they could see each other). Each prefers going to the beach to being at home, and prefers being with the other person rather than being apart.
Chris and Kim
What are the payoffs possible when playing heads or tails?
win or loss
How is the following game zero sum or non zero sum game?
Game Description: Consider two people, Chris and Kim. They both enjoy each other's company, but neither can communicate with the other before deciding whether to stay at home (where they would not see each other) or go to the beach this afternoon (where they could see each other). Each prefers going to the beach to being at home, and prefers being with the other person rather than being apart.
Non zero sum because this game can be win win because both players can reach the objective of being with the other person
What is the dominant strategy in this scenario
Two criminals arrested for a crime. Prosecutors have no hard evidence to convict them. However, to gain a confession, officials remove the prisoners from their solitary cells and question each one in separate chambers. Neither prisoner has the means to communicate with each other. Officials present four deals, often displayed as a 2 x 2 box.
Confess
What is the objective (s)?
Two criminals arrested for a crime. Prosecutors have no hard evidence to convict them. However, to gain a confession, officials remove the prisoners from their solitary cells and question each one in separate chambers. Neither prisoner has the means to communicate with each other. Officials present four deals, often displayed as a 2 x 2 box.
Get as close to no jail time as possible
How many players are required in a game?
at least 2
What are the payoffs?
wo criminals arrested for a crime. Prosecutors have no hard evidence to convict them. However, to gain a confession, officials remove the prisoners from their solitary cells and question each one in separate chambers. Neither prisoner has the means to communicate with each other. Officials present four deals, often displayed as a 2 x 2 box.
1. 5 year prison sentence
2. 3 year prison sentence
3. 9 year prison sentence
4. 10 year prison sentence
5. 2 year prison sentence