# School:Economics/Game Theory/Games

In collaboration with The School of Game Design and Board Game Studies

# Introduction

These are the games used in Game Theory

# The Games

Game Players Strategies per player Number of pure strategy Nash equilibria Sequential Perfect information Constant sum (e.g. Zero sum)
Battle of the sexes 2 2 2 No No No
Centipede game 2 variable 1 Yes Yes No
Chicken (aka hawk-dove) 2 2 2 No No No
Coordination game N variable >2 No No No
Cournot game 2 infinite[1] 1 No No Yes
Deadlock 2 2 1 No No No
Dictator game 2 infinite[1] 1 N/A[2] N/A[2] Yes
Diner's dilemma N 2 1 No No No
Dollar auction 2 2 0 Yes Yes No
El Farol bar N 2 variable No No No
Guess 2/3 of the average N infinite 1 No No Yes
Kuhn poker 2 12 & 4 0 Yes No Yes
Matching pennies aka Parity game 2 2 0 No No Yes
Minority Game N 2 variable No No No
Nash bargaining game 2 infinite[1] infinite[1] No No Yes
Pirate game N infinite[1] infinite[1] Yes Yes Yes
Prisoner's dilemma 2 2 1 No No No
Rock, Paper, Scissors 2 3 0 No No Yes
Signaling game N variable variable Yes No No
Stag hunt 2 2 2 No No No
Trust game 2 infinite 1 Yes Yes No
Ultimatum game 2 infinite[1] infinite[1] Yes Yes Yes

## References

1. There may be finite depending on how goods are divisible.
2. Since the dictator game only involves one player actually choosing a strategy (the other does nothing), it cannot really be classified as sequential or perfect information.