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title: Game Theory
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# Game Theory

## Domains

### Auction Theory

[[auction-theory|Auction theory]] is a subset of game theory

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#### Reverse Auction

In a reverse auction,
bidders compete for the right to _sell_ a product or service.

#### Sealed-Bid Auction

Opposite of a conventional "open" auction,
in a sealed-bid auction,
bid prices are hidden from the bidders.

[[uncertainty#Information]]

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## Terminology

### "Solved" Games

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### Symmetry

## Typical Games

### Chicken

| Player A \ Player B |   Player B: Back Down   |   Player B: Hold Firm   |
|:------------------- |:-----------------------:|:-----------------------:|
| Player A: Back Down |        Tie \ Tie        | Lose face \ Gain status |
| Player A: Hold Firm | Gain status \ Lose face |        Die \ Die        |

### Prisoner's Dilemma

| Prisoner A \ Prisoner B |    Prisoner B: Cooperate    |      Prisoner B: Defect       |
|:----------------------- |:---------------------------:|:-----------------------------:|
| Prisoner A: Cooperate   | Serve 1 year \ Serve 1 year |    Serve 3 years \ Go free    |
| Prisoner A: Defect      |   Go free \ Serve 3 years   | Serve 2 years \ Serve 2 years |

### Stag Hunt

| Hunter A \ Hunter B | Hunter B: Hunt Stag  | Hunter B: Hunt Hare  |
|:------------------- |:--------------------:|:--------------------:|
| Hunter A: Hunt Stag | Eat stag \ Eat stag  | Go hungry \ Eat hare |
| Hunter A: Hunt Hare | Eat hare \ Go hungry | Eat hare \ Eat hare  |

### Ultimatum Game

### Dictator Game