以模擬方法探討交叉效率下的均衡解

Abstract

資料包絡分析法(Data Envelopment Analysis, DEA)中的交叉分析效率是一項較精確的效率評估方法，因此使用交叉效率做為評估的關鍵績效指標。並探討各決策單位在追求更高的績效時，根據本文所提出的決策模型及模擬方法，可以觀察到受評估的決策單位，會產生賽局理論中的均衡解，不偏離目前策略下的一個均衡狀態，且此均衡解可以使用較少的投入量達到對產出量的要求，且降低總投入成本。因此以交叉效率作為關鍵績效指標時，各決策單位在追求高報酬下，會產生均衡狀態。

Cross efficiency in Data Envelopment Analysis (DEA) is a peer-evaluating method for measuring relative performance. This work investigates cross efficiency in a game-based framework, in which each firm can reallocate the resources to maximize its cross efficiency. In particular, we study the decision-making via simulation studies. The results show the existence of equilibrium and give some implications. Some insightful discussions are provided for using cross efficiency as a performance indicator.