We propose a general model of repeated voting in committees and study equilibrium behavior under alternative majority rules. We find that repetition may significantly increase the efficiency of majority voting through a mechanism of intertemporal logrolling, agents sometimes voting against their immediate preference to benefit the group’s long-term interest. In turn, this affects the comparison of majority rules, which may differ significantly relative to the static setting. The model provides a rationale for the use of super-majority rules, while accounting for the prevalence of consensus in committee voting.