The Game Between The Strategy With The Best Payoff And The Unconditional Strategy

By using replicator equations with the fitness which is 3 nonlinear function,the dynamical behavior for two second-order strategies L3 and L6 in the leading eight with unconditional strategies ALLC and ALLD is obtained by Sigmund. First, Sigmund's result for L3 and L6 is extended based on the effect of a threshold value w0. Then, the complete dynamical results for the game between the remaining six third-order strategies and two unconditional strategies are also obtained.