mustang:As we all know Bridgestone is departing from F1 from the end of next year.
I was thinking and could smell rubber buring 
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An F1 tyre has to meet a certain spec and be classed safe basically meet the specs set by whatever body it is who sets these rules. Whats to stop a team sourcing its own tyre supplyer, if the tyres pass the requirements set by the body who deems them said tyres fit to race. Could see cars being designed around tyres etc... It opens up the design brief of the cars to so many more options within the design specification requirement of an F1 car.
Be great to see many more tyre suppliers in F1. More advertisieng and revenue for the team when serving a purpose provideing tyres aswell etc...
what you are talking about is a tyre war. Its up to the FIA, if they decide its a 1 make formula thats the end of it. teams cant source their own product. The FIA is trying to keep the costs down so i cant see F1 going down that route again, the tyre companies are just not interested in the expense of R&D that too much competition creates, the other problem is that when there is a tyre war speeds always escalate as each company vies for the best compound. Again this is something that the FIA have got under control now so I cant se them chnging the rules to allow more than one tyre manufacturer.
Back in the day when 3 or 4 tyre companies where involved it was always an extra element to the weekend, who would be good at what track, and some people bringing out qualifying 'specials' but usually it was goodyear that dominated with the occaisional win from some of the other makers. I think those days have gone though, especially in todays financial climate.