The problem is not incentives,
but culture. From a view purely based on incentives, there is no reason to support your grandmother, for example, rather than kicking her out in the cold. Only our culture stops us to treat our closest family members this way.
If we expanded what we thought of as “us” from just the individual unit, however small that might be (the familial unit for some, just the individual self for others) to to include the entire country and government running it, there is no telling what we could achieve.