Buying up coal would raise the price of electricity. That's essentially a flat tax. You punish the poor of the world who use minimal amounts.
Ironically it seems that rich people have the most interest in preventing that from happening.
The rich pay for the shift through their higher taxes (government R&D, subsidies, etc), funding research at top tier universities, owning large corporations that do R&D or implementation (eg Musk / SolarCity, or Walton / FirstSolar and so on), buying big batteries for their homes, being first to adopt large scale home solar, building massive solar plants or wind farms (or being customers ala Buffett / Berkshire / Mid-American). This is similar to the way the rich subsidize most new technology until it becomes economical.