SYARAT PERLU DAN SYARAT CUKUP KEBERADAAN DAN KETUNGGALAN KESEIMBANGAN NASH CAMPURAN SEMPURNA PADA BIMATRIX GAMES

Anggi Mutia Sani

Abstract


In this paper, the necessary and sucient condition for the existence and
uniqueness 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 are
expressed with some properties of saddle point matrices, denoted by (A; e), where e is
the column vector with all entries 1. Properties of the saddle point matrices assessed
using the algebraic approach.

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DOI: https://doi.org/10.25077/jmu.2.2.54-62.2013

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