In my experience, I've found that a good flat grind gives by far the best cutting performance. Generally, a flat grind will slice better and do finer jobs such as whittling better. An Opinel is an excellent example of this. I use my Opinel #8 for a lot of things, from slicing onions to whittling walking sticks. On the other hand, a saber grind will baton better because of the wedge-like shape of the grind (as opposed to a flat grind, where more of the blade is in contact with the wood, causing more friction), and usually be stronger. Hollow grinds work well for finer, but shallow work, as, though it is possible to get the blade sharper (IMO) due to the thinner edge geometry, a hollow ground knife will not do nearly as well at slicing when compared to a flat ground blade. I have a little hollow ground Buck Diamondback Guide that I love, it does really well for whittling and fine work work that doesn't require much penetration. My mother uses it as a kitchen knife, though I've tried to get her to get a Japanese utility knife for that.
I don't own a chisel ground or convex ground knife, but from what I know of the convex grind, it should out-perform a flat grind in many areas, in strength due to less steel being removed and in cutting efficiency due to less surface area being in contact with the material being cut, equaling less friction. Out of all the different grinds I have, though, I prefer a flat grind for general use. Though I find my hollow ground Spyderco Native in my pocket every day, nonetheless.
I hope that made sense, and didn't come across as too technical.