You're welcome
I suggest you refine your interests for each department you apply to. For example, Harvard has EconCS group. If you apply there, you can concentrate on your economics-related interests in your SoP.
But for other places with fewer econ faculty, you can say something like this: "I have a broad interest in theoretical computer science. I'm interested in the interplay between economics, game theory, and algorithms. approximation algorithms and stochastic and combinatorial optimization are also among my interests. ..."
For places with only 1-2 professors of interest, write even more broadly, but in the next paragraphs implicitly imply that you're interested in econ and you've prepared yourself for it.
But there is something else. If you want to work in cs theory with Economics applications, You sould be looking for Econ-CS groups (like the one in Harvard), not the Theory groups. Theory groups normally do not have many people working in these areas. You can find a few working in algorithmic game theory, which I guess will sometimes be far from economics with real applications. However, Econ-CS groups are rare, so you should also apply to some theory groups.
Here are a few more Econ-CS groups. (Maybe you know them yourself). Maybe there are others I couldn't find.
CS-ECON@DUKE
Economics groups at northwestern ECE