This is just for the reputation within Japan though...
Besides the quality, YAMAHA have been very good on the promotion.
YAMAHA, they are really good on promotion and their sales persons in Japan have been like stock brokers. KAWAI, compared with YAMAHA, hasn't been so good as YAMAHA in the perspective of promotion.
Both of them produce good quality pianos, however, YAMAHA's piano have been top share in Japan, so KAWAI is considered a bit behind and there is difference of the prices. (YAMAHA is always slightly expensive than KAWAI in the same type of models)
Looks like Steinway. They had a factory in the States during and after the World War II, so they could expand the sahre in the world rapidly. It is true that their quality is really good but there are other piano makers that produces as good pianos as Steinway. Just different kind of sound but the prices of Steinway are always more expensive than others.
I am waiting for the time when this kind of Steinway/YAMAHA legend to be disapperaing....
The funny story is, Steinway dealer both in Japan and Australia have said to me, "Hambrug Steinway has always had better quality or, at least, the re-sale value is better than US made." They are competing in the same company too...