Adynamic rent seeking game with two boundedly rrational players is analyzed. The game is modeled as a discrete dynamical system of the plane, represented by the iteration of a noninvertible map with a denominator which vanishes in a one-dimensional subset of the plane and this gives rise to basins of attraction with particular structures, called lobes and crescents in [1]. These structures are related to the presence of a focal point, i.e. a point where the map assumes the for 0/0. We show that the focal point of this map has some peculiar properties which lead to situations not included in the cases described in [1].
Bischi, G., Kopel, M., Naimzada, A. (2001). On a Rent-Seeking Game Described by a Non-Invertible Iterated Map with Denominator. NONLINEAR ANALYSIS, 47(8), 5309-5324 [10.1016/S0362-546X(01)00637-X].
On a Rent-Seeking Game Described by a Non-Invertible Iterated Map with Denominator
Naimzada AK
2001
Abstract
Adynamic rent seeking game with two boundedly rrational players is analyzed. The game is modeled as a discrete dynamical system of the plane, represented by the iteration of a noninvertible map with a denominator which vanishes in a one-dimensional subset of the plane and this gives rise to basins of attraction with particular structures, called lobes and crescents in [1]. These structures are related to the presence of a focal point, i.e. a point where the map assumes the for 0/0. We show that the focal point of this map has some peculiar properties which lead to situations not included in the cases described in [1].
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
