古诺竞争
趋同(经济学)
寡头垄断
数理经济学
数学
数学优化
纳什均衡
经济
完整信息
应用数学
计算机科学
经济增长
作者
Gennady I. Algazin,Daria Algazina
标识
DOI:10.1134/s000511792305003x
摘要
This paper considers a Cournot oligopoly model with an arbitrary number of rational agents under incomplete information in the classical case (linear cost and demand functions). Within the dynamic reflexive collective behavior model, at each time instant each agent adjusts his output, taking a step towards the maximum profit under the expected choice of the competitors. Convergence conditions to a Cournot–Nash equilibrium are analyzed using the errors transition matrices of the dynamics. Restrictions on the ranges of agents’ steps are imposed and their effect on the convergence properties of the dynamics is demonstrated. Finally, a method is proposed to determine the maximum step ranges ensuring the convergent dynamics of collective behavior for an arbitrary number of agents.
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