Who bears the burden of downturns?

The answer from Jonathan Parker and Annette Vissing-Jorgensen:

The consumption of high-consumption households is more exposed to fluctuations in aggregate consumption and income than that of low-consumption households in the Consumer Expenditure (CEX) Survey. The exposure to aggregate consumption growth of households in the top 10 percent of the consumption distribution in the CEX is about five times that of households in the bottom 80 percent. Given real aggregate per capita consumption growth about 3 percentage points less than its historical mean during the past year, these figures predict that the ratio of consumption of the top 10 percent to the bottom 80 percent has fallen by about 15 percentage points (relative to trend). Using income data from Piketty and Saez (2003), we show that the income(especially the wage income) of rich households is more exposed to aggregate fluctuations, so their higher income exposure is a likely contributor to their higher consumption exposure.

From their paper, here are growth rates of non-capital gain income by group, 1982-2006: