In my SOP I gave an overarching area I'm interested in, two subtopics that I could see myself working on, and within those subtopics, several questions per subtopic that could be interesting. I then vaguely described the research method that I might use to solve some of these questions. Then my background/research work that could help me examine such questions. Last paragraph ends with, oh but I want to keep an open mind and learn tons of cool things in grad school, some skills i'd like to work on (ex. more game theory), amazing profs that I've been idolizing since birth, please take me thanks.