On a rent-seeking game described by a non-invertible iterated map with denominator

A dynamic rent seeking game with two boundedly rational players is analyzed . The game is modeled as a discrete dynamical system of the plane, represen ted by the iteration of a noninvertible map with a denominator which vanish es in a one-dimensional subset of the plane and this gives rise to basins o f attraction with particular structures, called lobes and crescents in [1]. These structures are related to the presence of a focal point, i.e. a poin t where the map assumes the form 0/0. We show that the focal point of this map has some peculiar properties which lead to situations not included in t he cases described in [1].