Both within each decade and across time, White respondents were more likely to see decreases in bias against Blacks as related to increases in bias against Whites—consistent with a zero-sum view of racism among Whites—whereas Blacks were less likely to see the two as linked.
Norton, M. & Sommers, S. (2011). Whites see racism as a zero-sum game that they are now losing. Perspectives on Psychological Science, 6(3), 215-218.