The Cournot–Theocharis problem reconsidered
The Cournot–Theocharis problem reconsidered
复制标题
重新考虑古诺-塞奥查里斯问题
DOI：
10.1016/j.chaos.2006.09.081
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发表时间：
2008
影响因子：
7.8
通讯作者：
Manuel Ruiz
中科院分区：
文献类型：
--
作者：
J. Cánovas;T. Puu;Manuel Ruiz
在1959年Theocharis [Theocharis RD.关于寡头垄断问题古诺解的稳定性。经济研究回顾1959;27：133-4]表明，在线性需求和边际成本不变的情况下，当竞争对手超过三个时，古诺均衡就不稳定了。有三个竞争者时，古诺平衡点变得中性稳定，因此，即使这样，任何扰动都会使系统陷入无休止的振荡。Theocharis的论点实际上是提出已经在1939年由Palander [Palander T.两个或两个寡聚体的连接和标记。Ekonomisk Tidskrift 1939;41：124-45，222-50].这些作者都没有考虑系统的全局动态，当考虑到价格、供给量和活跃企业的利润不可能为负的事实时，系统必然会变成非线性的。在本文件中，我们处理全球动态。
In 1959 Theocharis [Theocharis RD. On the stability of the Cournot solution on the oligopoly problem. Review of economic Studies 1959;27:133–4] showed that with linear demand and constant marginal costs Cournot equilibrium is destabilized when the competitors become more than three. With three competitors the Cournot equilibrium point becomes neutrally stable, so, even then, any perturbation throws the system into an endless oscillation. Theocharis’s argument was in fact proposed already in 1939 by Palander [Palander T. Konkurrens och marknadsjämvikt vid duopol och oligopol. Ekonomisk Tidskrift 1939;41:124–45, 222–50]. None of these authors considered the global dynamics of the system, which necessarily becomes nonlinear when consideration is taken of the facts that prices, supply quantities, and profits of active firms cannot be negative. In the present paper, we address the global dynamics.