{"DOI":"10.1186/s13662-020-03144-4","abstract":"AbstractIn 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\u2013Sacker. 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 $Z_{2}-Z_{0}$\n\nZ\n2\n\n\u2212\n\nZ\n0\n\n type. We also show some multistability aspects of the system including basins of attraction and regions known as lobes.","author":[{"family":"Askar","given":"Sameh"}],"id":"unknown","issued":{"date-parts":[[2020]]},"language":"en","publisher":"Springer Science and Business Media LLC","title":"Local and global analysis of a nonlinear duopoly game with heterogeneous firms","type":"article-journal","volume":"2020"}