Two-Person Ratio Efficiency Games
证明一类比率收益函数的两人博弈可通过等价的原始-对偶线性规划求解,其解可用于数据包络分析(DEA)的CCR模型效率评价,从而建立DEA与博弈论之间的严格联系。
This paper demonstrates that a class of two-person games with ratio payoff functions can be solved using equivalent primal-dual linear programming formulations. The game’s solution contains specialized information which may be used to conduct the efficiency evaluation currently done by the CCR ratio model of Data Envelopment Analysis (DEA). Consequently a rigorous connection between DEA’s CCR model and the theory of games is established. Interpretations of these new solutions are discussed in the context of current ongoing applications.