How to respond to silent treatment?

I'm pretty sure my boyfriend is giving me a silent treatment. It wouldn't be the first time. He has a tendency of getting mad over small, unrealistic things and not talking about it, just turning his head away leaving me wondering what the fuck I did or say wrong. I think I know why he's doing it now; well few weeks ago we had an argument about sex (he literally wants to have all the damn time, 24/7) and I told him that I want us to do some other activities as well, that pussy is not a supermarket, that I need a breather. He didn't say it but it was written on his face how offended he got. He just said "okay" and he really didn't initiate it for few days and we did some other activities those days. Few days ago I wanted to have sex and he rejected me. I tried couple of more times but he just brushed me away. I asked him if everything is okay and he said everything is great. Then the next day he rejected me again and I snapped. I asked him why and he just said "well, now you know how I felt. sucks, right?". I lost every interest of having sex with him right there and then and told him that I'm not going to put up with his childish behavior, that I won't bug him anymore and that the next time he's butthurt about something he should communicate it. It's been 4 days since then and now he is totally giving me the silent treatment. He acts uninterested, often doesn't pick up the phone, texts back late with one word responses, etc. Would text me a cute emoji from time to time, then go radio silent. He used to text me good morning every day, and today he didn't. Didn't heard from him all day. I think he wants me to chase after him, but no way in hell I'm doing that. I have no time nor energy for his stupid mind games. How should react to this?
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You guys misunderstood. I did not went all bitchy on him when I said my pussy is not a supermarket, it didn't happened just like that. Within first week we started having sex I noticed that that's the only thing he likes doing. I invite him for activities all the time (like going out, doing some sport, having dates, watching movies, etc.) and he says "okay" but always cancels last minute. And then I told him I can't do only sex all the time and that I doubt how serious he is about this relation
How to respond to silent treatment?
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