Two players are endowed with resources for setting up N locations on K identical circles, with N greater than K which is greater or equal 1. The players alternately choose these locations (possibly in batches of more than one in each round) in order to secure the area closer to their locations...

Two players are endowed with resources for setting up N locations on K identical circles, with N K ≥ 1. The players alternately choose these locations (possibly in batches of more than one in each round) in order to secure the area closer to their locations than that of their rival's. They...

We consider the Hotelling-Downs model with n ≥ 2 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...