In this paper, we show that current statistical measures of legislator
's shirking are implicitly based on the electoral concept of a unique
majority rule equilibrium point in the policy space where elections ar
e contested. We note that such equilibria do not exist generically and
present statistical results showing that cross-sectional regressions
where legislators' voting indices are predicted by district average de
mograhic and economic data are mis-specified. We also discuss a weaker
equilibrium construct, the uncovered set, and present statistical evi
dence showing that differences in voting behavior between Senators fro
m the same state are positively related to the heterogeneity of the el
ectorate. We argue that current evidence alleged to show shirking by S
enators is equally consistent with Senators who perfectly represent an
idiosyncratic constituency that cannot be represented by district ave
rage data.