Hi, I'd like to help you with your question.
Yes, you are culpable for everything you agree to do and say, but only to a point. That is a great argument if you are trying to prosecute someone who committed a crime. But it does not work with a crime survivor.
The very idea of a crime is to do something against another person against their will. Psychologically we are geared to protect ourselves, particularly if we feel the threat is against our life. We will change our behaviors and our actions to deal with whatever situation we are confronted with because the main goal is to stay alive. Everything else becomes unimportant. When you were attacked, your whole body and mind became totally focused on coming out of the situation alive. Once you realized you could not escape, you prepared yourself to cooperate any way possible. You essentially allowed yourself to go against your own instinct to fight so you could live. That is not being responsible for the attack, that is smart thinking that kept you alive.
This is why when someone is faced with a life or death situation they often develop PTSD. The mind has to cope with something that makes it face it's own death. So to cope, the mind goes against how it usually works and pushes for survival at any cost. This causes the person great distress once it is over. They develop symptoms including self blaming, depression and guilt. They look at what they did to survive and wonder how they could do that. Once they are safe from the attack, the idea that they could act in that manner shocks them. But at the time of the attack, it was necessary to survive.
You can help yourself by seeing yourself as someone else. If you were talking with someone who just was attacked, would you look for ways to blame them? What if they gave up their wallet to the person, would that be something they are responsible for since they gave it up instead of it being wrestled from them?
Or if this happened to a friend, what would you do for her? Would you talk to her? What would you feel for her?
If you would not blame others for how they chose to stay alive in a bad situation, then you do not deserve blame either. Focusing on moving your feelings to someone else helps you see that blaming yourself for something you had no control over is not doing you any good. Even if you cooperated fully with these guys, no one would ever blame you. They did this to you, not the other way around. You are the survivor and that is the way to view yourself. You deserve to feel better.
I hope this helps you,