Quote: "Looks good. I can do that with a scrolling texture, but how can I use that for my greyhound racing game, on plains, for 6 dogs? Plus, shadows overlapping usually don't go darker."
Depends on a number of factors (see below). Have you seen the original room demo by Lee with the Scorpion? You could make your shadows using that technique which employs flat versions of your animated object placed just above the floor (or race track, whatever it is you need the shadow on). Using that method, you can also stretch and distort the shadow object as needed.
Quote: "This picture shows what happens, especially in a dog racing game."
Those are funny looking dogs then

Actually, that's what I'd expect when you only have one light source and 4 objects all standing at the same distance from the surface the shows are cast on. Like I said, a lot depends on the distance of the object(s) casting the shadow, direction of light(s), and the ambient light level. You'll also notice that due to those conditions, the edges of the shadows are highly diffused.