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效能度量的影子价格,第二部分:一般模型

Shadow Prices for Measures of Effectiveness, II: General Model

Operations Research · 1993
被引 53
人大 AFT50UTD24ABS 4*

中文导读

建立了一个双方博弈的作战模型,每方在给定效能约束下最大化自身价值函数,求解广义纳什均衡并得到影子价格,揭示各效能指标的成本。

Abstract

This is the second of a pair of papers describing a two-sided game model of combat. In this paper, each side attempts to develop a force structure attaining the maximum of a prescribed merit function, subject to certain constraints expressed by a set of prescribed measures of effectiveness. These measures can be different for the two sides: furthermore, those of each side can depend on the other side's actions. A solution of the model is a generalized Nash equilibrium of this game, and such a solution also yields shadow prices that reveal the cost in merit paid by each side for requiring the specified level of performance on each measure of effectiveness. The first paper examines a special case in which the model has a linear structure, and shows that in a restricted case the shadow prices produced by that model are the classical eigenvalue weights familiar from Lanchester theory.

军事运筹博弈论数学优化效能评估