Electing a Parliament

We present a model where a society elects a parliament by voting for candidates belonging to two parties. The electoral rule determines the seats distribution between the two parties. We analyze two electoral rules, multidistrict majority and single-district proportional. In this framework, the policy outcome is simply a function of the number of seats parties take in the election. We prove that in both systems there is a unique pure strategy perfect equilibrium outcome. Finally, we compare the outcomes in the two system