Ahmad Naimzada () (Department of Quantitative Methods, University Bicocca, Milan, Italy) Fabio Tramontana () (Università Politecnica delle Marche & Dipartimento di Economia e Metodi Quantitativi, Università di Urbino)
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We propose an duopoly game where quantity-setting firms have incomplete information about the demand function. In each time step, they solve a profit maximization problem assuming a linear local approximation of the demand function. In particular, we construct an example using the well known duopoly Puu's model with isoelastic demand function and constant marginal costs. An explicit form of the dynamical system that describes the time evolution of the duopoly game with boundedly rational players is given. The main result is the global stability of the system.
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Paper provided by University of Urbino Carlo Bo, Department of Economics in its series Working Papers with number
0810.