Jan-Erik Lane and Sven Berg, and Manfred Holler and Mika Widgren, agree tha
t power index analysis of the EU cannot take into account its institutional
structure. For us, this is a sufficient condition for its failure as a res
earch program. Nonetheless, they go on to argue that power indices are bett
er suited than our analysis to address questions of institutional design un
der conditions of uncertainty. We demonstrate, however, that the way they m
odel uncertainty (outcomes are uniformly distributed across the possible 's
tates of the world') means that their conclusions depend heavily on the par
tition of these states of the world. As a result, power-index-based analyse
s of institutional design are not informed by;the factors that should be in
cluded (institutions and strategies) and instead rely on a priori mathemati
cal formulas and analysts' questionable assumptions about the partition of
future states of the world.