In Game $2$ there are two players $($ A and B $)$ and two strategies, Cooperate $($C$)$ and Defect $($D$).$ The payoffs for each strategy are shown in the payoff matrix above. For these payoffs, larger numbers are better than smaller ones.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline & & $\backslash$multicolumn$\{2\}\{|$c$|\}\{$ Player B $\}\backslash \backslash$

& & Defect $($D$)$ & Cooperate $($C$)\backslash \backslash$

$\backslash$hline & D & $\backslash (\backslash$$ $400,\backslash$$ $500\backslash )$ & $\backslash (\backslash$$ $100,\backslash$$ $750\backslash )\backslash \backslash$

$\backslash$cline $\{3-4\}\backslash$begin$\{$tabular$\}\{$c$\}$

Playe $\backslash \backslash$

r A

$\backslash$end$\{$tabular$\}$ & C & $\backslash (\backslash$$ $0,\backslash$$ $200\backslash )$ & $\backslash (\backslash$$ $200,\backslash$$ $300\backslash )\backslash \backslash$

$\backslash$cline $\{3-4\}$ & & &

$\backslash$end$\{$tabular$\}$

In game $2,$ what kind of equilibrium is this $($select one$)?$

Dominant Strategy Equilibrium

Nash equilibrium

Both a Nash and a Dominant Strategy Equilibrium

No equilibrium