Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers

• 成果类型: Article
• 署名作者: Todd, Michael J.
• 署名单位: Cornell University
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2015.0771
• 发表日期: 2016
• 页码: 1125-1134
• 关键词: Potential games

摘要

We give an efficient algorithm for computing a Cournot equilibrium when the producers are confined to integers, the inverse demand function is linear, and costs are quadratic. The method also establishes existence constructively. We use our characterization to discuss the multiplicity of integer Cournot equilibria and their relationship to the real Cournot equilibrium.