Redistrubution of wealth

The people I know who are wealthy, are also very generous people. They give in abundance to others. There are also those like myself, who are labeled as middle class. Obviously, individuals in this class can't give in the same measure, but the heart and desire to give to those less fortunate still exists.

It seems to me, both the upper and middle classes both look to bring the standard of living up for the lower class, but I wonder if there is a better way. Would change happen faster, if the upper class would focus on helping the middle class and the middle class focus on the lower class? Would the trickle down effect work?

I can only speak from the experience of middle class, but it would seem to me that my goals and dreams inspire me to pursue the things that will catapult me into the upper class, so that I can in return, bless the lower class. Even though I attempt to help the lower classes now, my focus is divided in terms of money. As for my time, I can give to the lower class. Is that the same story for the upper class?

Imagine for a moment, that the upper class began paying off mortgages and debts of the middle class. Would that open the door for the middle class to bless the lower class more abundantly and provide a more hands on approach to their giving? Would the lower class be inspired more from receiving from middle class, because to them middle class is a more realistic dream at the moment. For the lower class to receive from the upper class, I wonder if there is a great divide, that prevents inspiration from crossing over.

It's a theory I'd like to see more research on.