Introduction[edit | edit source]

These are the games used in Game Theory

The Games[edit | edit source]

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

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 ^1.7 There may be finite depending on how goods are divisible.
↑ ^2.0 ^2.1 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.