We consider the Hotelling-Downs model with n = 2 oce seeking candidates and runo voting. We show that Nash equilibria in pure strategies always exist and that there are typically multiple equilibria, both convergent (all candidates are located at the median) and divergent (candidates locate at...

We consider the Hotelling–Downs model with n⩾3 office-seeking candidates and runoff voting. We show that Nash equilibria in pure strategies always exist and that there are typically multiple equilibria, both convergent (all candidates are located at the median) and divergent (candidates...

This paper constructs a game-theoretic model of elections in alternative electoral systems with three or four candidates. Each electoral system specifies how the platforms of the candidates and their scores give rise to an outcome. When geometrical analysis shows that two outcomes can compete...