Comparing Bertrand and Cournot Equilibria: A Geometric Approach
用几何方法分析双寡头市场，比较伯特兰和古诺均衡，说明在一般条件下古诺均衡价格和产量高于伯特兰均衡，且当商品为替代品时产量策略优于价格策略，互补品时相反。
By presenting a geometric analysis of a duopoly, this article attempts to provide some insights into recent results by Singh and Vives regarding Bertrand and Cournot equilibria and the relative dominance of price and quantity strategies. It shows that under fairly general and reasonable assumptions (a) Cournot equilibrium prices (quantities) are higher than Bertrand equilibrium prices (quantities) and (b) a quantity (price) strategy dominates a price (quantity) strategy if the goods are substitutes (complements).