normal form game

A normal form game is a game of complete information in which there is a list of n players, numbered 1,,n. Each player has a strategy set, Si and a utility functionPlanetmathPlanetmath ui:inSi.

In such a game each player simultaneously selects a move siSi and receives ui((s1,,sn)).

Normal form games with two players and finite strategy sets can be represented in normal formMathworldPlanetmath, a matrix where the rows each stand for an element of S1 and the columns for an element of S2. Each cell of the matrix contains an ordered pair which states the payoffs for each player. That is, the cell i,j contains (u1(si,sj),u2(si,sj)) where si is the i-th element of S1 and sj is the j-th element of S2.

Title normal form game
Canonical name NormalFormGame
Date of creation 2013-03-22 12:51:24
Last modified on 2013-03-22 12:51:24
Owner Henry (455)
Last modified by Henry (455)
Numerical id 6
Author Henry (455)
Entry type Definition
Classification msc 91A10
Classification msc 91A06
Classification msc 91A05
Synonym strategic form game
Related topic Game
Defines normal form game
Defines normal form