Abstract
This paper gives some considerations on the sensitivity of N-player, nonzero-sum distributed parameter differential games.
First, necessary conditions are derived for the three types of strategies (the Nash equilibrium, the minimax and the noninferior). The nominally equivalent property and/or the performance index value are investigated.
Secondly the optimal feedback strategies are defined, which consist of the output feedbacks and the prefilters and are nominally equivalent to the open-loop strategy. A general formula is derived to examine the sensitivity of the performance index, and the performance index sensitivity is indicated to be affected by how the optimal feedback strategies are chosen.
Finally other N-player, nonzero-sum games for sensitivity reduction are considered in order to synthesize the optimal feedback strategies. Several examples are given to illustrate this procedure.
