Approximate Bertrand Equilibria in a Replicated Industry
研究复制行业中近似伯特兰均衡的存在性与性质，发现当行业足够大时存在ε均衡，且若ε足够小则任何ε均衡近似于竞争均衡。
This paper considers the existence and properties of approximate Bertrand equilibria in a replicated industry. Price setting firms produce a homogeneous product with weakly convex costs. The main results are that: (a) Given ɛ > 0, an ɛ-equilibrium exists if the industry is large enough; (b) If the ɛ is small enough, and the industry large enough, any ɛ-equilibrium is approximately competitive. These results depend on how contingent demand is specified.