Really? Hahahah, you really believe this. Wow, just wow. How does this theory work then? Please do tell, as i must be as thick as pig shit. As unless your causing someone else to crash into you (by braking hard in front of someone, putting yourself in unnecessary danger or just driving like a knob) then how does your choice of tyre affect if some else crashes into you? (Being serious, if you can explain why, instead of just going "HURR DURR, 'CAUSE DEM BUDGETZ, NOT PREMIUM BRANDZ", then i might change my point of view)

But back on topic, Try mytyre.com or http://www.oponeo.co.uk/ if OP is still after tyres.