"Specifically with multiple periods the results can become counter intuitive."

With this closing sentence this article, which was written by Robert Darling and Alastair MacDougall  of the WM Company, sums up their feelings about attribution.  They artfully take us through the why's and how's of performance and how they do attribution.  Their next step is to define accuracy in calculation and reporting and they close with a focus on the costs (not just financial) of using daily attribution.