It seems like Goodyear's higher-end tires are good but not competitive against Michelin/Conti/Pirelli. They lost a good bit of OEM business as both Kumho and Hankook have successfully courted not just Goodyear's traditional customers(Ford, GM, FCA, Toyota) but they also picked up a lot of OEM business from the Europeans too. Goodyear's OEM and cheaper tires are just meh, I'm shocked the Eagle RS-A is being made still as a cop car tire. My parents have them on their car and I'm not happy with them. I rank Goodyear above Bridgestone but below Yokohama, the Koreans and General.
Goodyear also can't compete in China and they don't have ties to Sumitomo Rubber(Dunlop) any more. Cheap Chinese tires are still flooding the market, although the Obama White House did slap a tariff on bus/truck tires from China and Goodyear supposedly owns a stake in Double Coin.
I can smell asset buyout - Goodyear and Cooper merge, private equity firm takes over.