Jump to content

Wikipedia:WikiProject Game theory/Matrix

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Kzollman (talk | contribs) at 00:29, 1 August 2005. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

Standard ordered pair representation

Opera Football
Opera 2, 1 0, 0
Football 0, 0 1, 2

Used in: Battle of the sexes (no parens), Evolutionary stable strategy (no parens), Matching pennies (parens), Mixed strategy (although with ugly spacing), Normal form game (no parens), Payoff dominant equilibrium, Payoff matrix (along with row only), Pure strategy (parens), Solution concept (no parens), Stag hunt (no parens)


Color coded ordered pair

Canonical PD payoff matrix
Cooperate Defect
Cooperate 3, 3 0, 5
Defect 5, 0 1, 1

Used in: Prisoner's dilemma


Row only representation

Player 2 adopts strategy 1 Player 2 adopts strategy 2
Player 1 adopts strategy 1 A B
Player 1 adopts strategy 2 C D

Used in: Coordination game, Nash equilibrium, Payoff matrix (along with ordered pair)


Two row table representation

A B
A
1
1
0
0
B
0
0
1
1



No table representation


Table A

                                Player 2 
                    Action A    Action B    Action C
          Action 1    30         -10          20 
Player 1
          Action 2    10          20         -20

Used in: Game theory