You like? Ok, here goes:
1. Are you yotzei with stolen oil?
Assuming you are not;
1b Reuven lights with oil that he thinks he stole from Shimon, but it is really Reuven’s oil, is Reuven yotzei?
1c Suppose he knows that you are not yotzei with stolen oil, but he has daas to be yotzei anyway.
1d Suppose he is a shaliach of Shimon to light, and he thinks it is Shimon’s oil but it is his own, is he stealing his own oil? Is shimon yotzei? Must reuven pay himself?