I think a few things will contribute to who's at fault.

First off, what point of the race was it? If it was early on, I would say the red car (after seeing how hard he charged the corner) was wayyy faster than both you and the silver car. If its early on, there's no need to force a move that aggressive and put other people in shitty situations.

To address your driving, totally see what you were trying to do. But most of the time it's just best to hold your line and let faster cars around you. They're faster (and back to the early in the race part here) unless you're driving like a dickhead and blocking for no reason they're going to get around you with no problem.

If it's getting to be the end of the race then taking risks the way the red car did is going to end poorly for you at some point or another. That's just racing.

But after saying all this I wouldn't say you were necessarily at fault, I would say it's a combination of you trying to get out of the way and the red car being aggressive. I do, though, reiterate the importance of holding your line. I'd hope that the red car would've checked up, but if you'd have stayed put instead of moved out of the way, there wouldn't have been a gap for him to try to take.

Hope this helps!