Open AccessSYARAT PERLU DAN SYARAT CUKUP KEBERADAAN DAN KETUNGGALAN KESEIMBANGAN NASH CAMPURAN SEMPURNA PADA BIMATRIX GAMES
Author(s) -
Anggi Mutia Sani
Publication year - 2013
Publication title -
jurnal matematika unand/jurnal matematika unand
Language(s) - English
Resource type - Journals
eISSN - 2721-9410
pISSN - 2303-291X
DOI - 10.25077/jmu.2.2.54-62.2013
Subject(s) - mathematics , saddle point , combinatorics , geometry
In this paper, the necessary and sucient condition for the existence anduniqueness of a completely mixed Nash equilibrium in bimatrix games [A;AT ] are pre-sented. Matrix A 2 Rnn is a payo matrix. The necessary and sucient condition areexpressed with some properties of saddle point matrices, denoted by (A; e), where e isthe column vector with all entries 1. Properties of the saddle point matrices assessedusing the algebraic approach.