This summary of his contributions is worth reading. Here’s one of the more interesting parts:
Shiller’s solution to the problems in the housing market has been to make the market better—he created with Case and Weiss–the Case-Shiller Index. For the first time, it’s possible to see in real time housing prices and compare with averages over time and it possible to buy options and futures on the index which will help for forecasting. Moreover, it’s possible that in the future insurance products can be built based on local versions of the index–thus you could insure yourself against big declines in the price of housing in your neighborhood.
Shiller’s housing index is also a window into how macro markets could also be used to create livelihood insurance, a type of private unemployment insurance. Moral hazard and adverse selection make it difficult to protect any single individual from unemployment but indexes in the unemployment rate of dentists or construction workers could be used to provide some insurance for workers in these fields when conditions in their entire industry are poor.