Optimal pareto in two-person game

For what values $$x$$, $$y$$ the profile $$(D,L)$$ is Pareto optimal?

$$\begin{array}{c|ccc} & L & R \\ \hline U & x,5 & x+2,y \\ D& 1,-1 & x,0 \\ \end{array}$$

Is correct $$x<1$$ ?

I suppose this because $$D$$ should not be weakly dominated.

And $$y<5$$ for the same argument.

Is these values enough to answer that $$(D,L)$$ is Pareto optimal?

Thanks!

• $(x,y) \in \{(a,b) \mid a<-5, ~ a + b \leq - 2\}$ – clueless May 20 '19 at 14:09
• clueless. Could you explain me a little? Thank you. – Franciscolli May 20 '19 at 20:43