Iterated Elimination of Dominated Strategies in a Bertrand-Edgeworth Model
研究伯特兰-埃奇沃思价格竞争模型,分析迭代剔除占优策略后剩余的价格集合,发现当少数企业产能足够大或企业数量极多且规模极小时,该集合趋近于市场出清价格。
We consider a Bertrand-Edgeworth model of price competition. Firms have identical and constant marginal costs and finite exogeneous capacities. Firms choose prices. Our interest is in the set of those prices which are left over after the iterated elimination of dominated strategies. We show that in two circumstances this set will be close to the set containing only the marketclearing (Walrasian) price: (i) if any n − 1 out of n firms assumed to be in the market have sufficient capacity to cover demand at marginal costs; (ii) if any given total capacity is owned by a very large number of very small firms.