A Continuous Approach to Oligopolistic Market Equilibrium
作者提出一种算法，用于计算有限个生产者参与的寡头垄断市场中的古诺-纳什均衡。该算法通过跟踪一个动态系统直至其稳态来实现，而稳态恰好是非合作均衡。动态过程自然产生：每个生产者根据当前总供给持续调整计划产量，调整完全基于短视利润考虑。作者证明，在广泛假设下，这一调整过程全局渐近收敛于纳什均衡。
We provide an algorithm for computing Cournot-Nash equilibria in a market that involves finitely many producers. The algorithm amounts to following a certain dynamical system all the way to its steady state, which happens to be a noncooperative equilibrium. The dynamics arise quite naturally as follows. Let each producer continuously adjust the planned production, if desired, as a response to the current aggregate supply. In doing so, the producer is completely guided by myopic profit considerations. We show, under broad hypothesis, that this adjustment process is globally, asymptotically convergent to a Nash equilibrium.