Delayed nonlinear cournot and bertrand dynamics with product differentiation.
Dynamic duopolies will be examined with product differentiation and isoelastic price functions. We will first prove that under realistic conditions the equilibrium is always locally asymptotically stable. The stability can however be lost if the firms use delayed information in forming their best responses. Stability conditions are derived in special cases, and simulation results illustrate the complexity of the dynamism of the systems. Both price and quantity adjusting models are discussed.
Matsumoto
Akio
A
Chuo University, 742-1, Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan.
Szidarovszky
Ferenc
F