STATISTICAL DYNAMICS IN PIECEWISE LINEAR COURNOT GAME WITH HETEROGENEOUS DUOPOLISTS

摘要

We study a Cournot duopoly dynamic model in which reaction functions are piecewise linear. Such a model typically generates ergodic chaos when it involves strong nonlin-earites. To investigate statistical properties, we construct explicit forms of density functions associated with chaotic trajectories. We demonstrate that the long-run average behavior possesses regular properties although each chaotic trajectory exhibits irregular motions. In particular, the ratios of the average outputs and the average profits are the same as those of Cournot outputs and Cournot profits.