Expecting ideas to appear, no matter what you do, is not a good idea. One difficulty is that is very difficult to estimate the probability of rare events. Perhaps having more free time can increase the probability of having new deep ideas, but that is not easy to measure. Furthermore, another key ingredient is communication with people full of energy, like P. Erdos, perhap some people can generate a hub of ideas.
Edit: Added A little more of money in the table not in the hands of political but directed to those that can do real research is a real innovation.