$8.$ Exercise $13\mathrm{.}15$A math graduate student explains to her friend, using the following payoff matrix, how to approach a group of smart attractive guys who have brought along the famous actor Russell Crowe.Student $2$Ignore R$.$C$.$Fixate on R$.$C$.$Student $1$Ignore R$.$C$.$No date tonight $($Worse$),$ No date tonight $($Worse$)$Date with other guys $($Better$),$ Date with R$.$C$.($Best$)$Fixate on R$.$C$.$Date with R$.$C$.($Best$),$ Date with other guys $($Better$)$No date ever $($Worst$),$ No date ever $($Worst$)$Note: Best payoffdate with R$.$C$.,$ Betterdate with other guys, Worseno date tonight, Worstno date ever with any of these guys.True or False: $\{$Ignore R$.$C$.,$ Fixate on R$.$C$.\}$ is a Nash equilibrium.TrueFalse