The last two sets of tires that I purchased were the cheapest name-brand tires that I could get....
As it turned out, they were both Bridgestones... One set was the Bridgestone HP50 for my Sebring convertible, and they seem to have great traction, although they are noisy and they look like they will last about 60,000 miles. These were about $86 per tire I think.
The other set were Bridgestone Dueller AP's for my Dodge Dakota 4x4, and they lasts 72,000 hard miles (lots of towing, lots of landscaping work (driving through yards, driving through the crap at the dump, lots of heavy hauling). They were really good tires. (I don't remember the cost.)