Long‐Run Profit Functions for Multiproduct Firms
从受限利润函数出发，构建了多产品企业的长期利润函数，并推导了长期替代弹性、范围经济、规模经济及产能利用率等公式，以新英格兰拖网渔业为例展示方法。
Abstract A long‐run specification of the multiproduct profit function is developed from the restricted profit function. The multiproduct restricted profit function and the envelope condition are used to estimate the optimal, long‐run levels of the quasi‐fixed factor. Formulas for long‐run Marshallian elasticities of substitution and transformation, economies of scope, product‐specific and overall economies of scale, and economic measures of capacity utilization are developed for the translog functional form. The methodology is illustrated by a case study of the New England otter trawl industry.