A Nash Equilibrium Algorithm For Second-and Third-order Payoff Matrix Games

According to the equivalence of the Nash equilibrium of the non-cooperative game and the saturated stationary point of the replication equation,the Nash equilibrium of the symbol matrix game is calculated.For the second-order matrix game,the parameter rep-resentation with one or three Nash equilibriums in the symbol case is obtained.A mistake in the literature is corrected.All the isolated Nash equilibriums of third-order matrix games with symbols are calculated,and the Nash equilibrium of the third-order numerical matrix game with a given value is given.