Abstract
In this paper, we introduce a nonlinear duopoly game whose players are heterogeneous and their inverse demand functions are derived from a more general isoelastic demand. The game is modeled by a discrete time dynamic system whose Nash equilibrium point is unique. The conditions of local stability of Nash point are calculated. It becomes unstable via two types of bifurcations: flip and Neimark-Sacker. Some local and global numerical investigations are performed to show the dynamic behavior of game's system. We show that the system is noninvertible and belongs to Z(2) - Z(0) type. We also show some multistability aspects of the system including basins of attraction and regions known as lobes.