Price competition with the attraction demand model: Existence of unique equilibrium and its stability

• 成果类型: Article
• 署名作者: Gallego, Guillermo; Huh, Woonghee Tim; Kang, Wanmo; Phillips, Robert
• 署名单位: Columbia University; Korea Advanced Institute of Science & Technology (KAIST)
• 刊物名称: M&SOM-MANUFACTURING & SERVICE OPERATIONS MANAGEMENT
• ISSN/ISSBN: 1523-4614
• DOI: 10.1287/msom.1060.0115
• 发表日期: 2006
• 页码: 359-375
• 关键词: Price competition; oligopoly; attraction demand model; Nash equilibrium; Convex costs

摘要

We show the existence of Nash equilibria in a Bertrand oligopoly price competition game using a possibly asymmetric attraction demand model with convex costs under mild assumptions. We show that the equilibrium is unique and globally stable. To our knowledge, this is the first paper to show the existence of a unique equilibrium with both nonlinear demand and nonlinear costs. In addition, we guarantee the linear convergence rate of tatonnement. We illustrate the applicability of this approach with several examples arising from operational considerations that are often ignored in the economics literature.