According to "regular" stock market philosophy, the "correct" price for a company is the sum of all of its future cash flows. However it is not really feasible to predict what the future profits of a company in a free-ish market are going to be, since at any point a new competitor might pop up and take some market share. In addition, you can't predict if a growing company will not start stabilizing at some point in the future, which would affect its future earnings and thus its price.

So the answer to your question must be no, there are no stock markets where shares are traded on a purely quantitative base. This is because the only way for price discovery on such a market is by perfectly predicting the future, which is not (as far as we know) possible.