I was an economics major (also technical) who started his own company in college. Generally it doesn't help, or at least not that I noticed.
Economics is mostly theory about how the world should operate based on certain laws... supply and demand etc. They go through rigorous derivations using calculus and statistics. You might get a top level overview of the driving forces behind an industry, but in a startup that's hardly useful.
Also in microeconomics, you are taught how a prototypical consumer might behave under canned conditions. Not at all representative of the real world.
There's really a single law book for running startups, and the first commandment is talk to your customers. Literally everything else is bs, at least in the beginning stages.