Death Trap (Game Theory)

Thinking about any scenario that places your loves one(s) in danger is rather morbid but for the sake of exploration we’ll overlook that, still, being in any bad situation one you immediately see the worst result and not the best solution. There are a variety of ways to look at this problem, some really in-depth analyses require some sturdy maths skill others merely ethical or moral stances. The collective name for the understanding this and similar problems is called Game Theory, and it is not, as the name implies, a soft subject.

The problem illustrated above is one I learnt at around 12 y/o, but there is a similar depiction made quite recently. In the recent Batman film, The Dark Knight, The Joker places bombs on 2 ships and gives the detonators to the opposing ship saying either one of you dies or you all die. There are other moments in that film that have an economy behind them and we’ll go into them later.

Mathematical Overview

(No sums or equations here, honest)

All end results can be shown in a table, or matrix, clearly showing a Live/Die for each party/boat in each situation.

Party A
Acts Passive
Party B Acts Die, Die Die, Live
Passive Live, Die Die , Die

This Normal form works for both my problem and the Jokers Ultimatum, there doesn’t seem to be a best action. In a perfect relationship you would both want each other to live and want to save each other but attempting to do so would kill them. If the civilians kill the guilty they become the guilty, the Joker wins but a ferry survives. Which takes us onto an…

Ethical Overview

As with Newtons Third law, “To every action there is an equal and opposite reaction”, by pushing the button you are willingly setting yourself up to kill someone, by not acting the responsibility of the outcome is the perpetrator of the situation. So if both parties do nothing they may loose their lives but they can happily know that they didn’t kill each other. This however does not work with a boat load of people, as they don’t have a button each so there a social ramifications such as being on a surviving boat but not wanting to have pushed the button. And of course they know there is a Batman out there so they can wait for him to save them, whereas in the prison cell they do not have that hope.

Philosophical Overview

Either scenario is preposterous, nobody would actually go to these lengths to commit this crime, if you were to actually find yourself in this situation it is most likely fictitious and as such humming a sticking your fingers in your ears is a viable solution until you wake up. As Homer (J. Simpson) would say, if I don’t see it its not happening!

This is just a talk out of the Joker’s Ferry game, there are 2 other obvious ones (at least to me) the 3 second clip were the bank robber asks the Joker if the shotgun is empty, saying yes/no and being wrong/right has some interesting results. And the robbery itself seems like a variant of the Pirate Booty Game

I’ve just explored 3 ways of looking at that situation I’m sure there are a variety of others, feel free to drop a comment below. Lastly I don’t expect that if you were in as dire situation as this you would consider the problem as rationally but I suppose that is the advantage of practising and theoretical discussions.

Film Review: The Dark Knight

Film quality is getting better and better. The bar, the standard, has been pushed so high that its very expensive to beat the expectation the last film leaves you for the next. The Dark Knight, the second in the new Batman franchise left me in awe. Having recently seen Iron Man I expected practically seamless transactions between actors, digital dummies, and effects what I didn’t expect was the entire package; sound, mood, storyline, growth, depth. Everything came together beautifully, each frame felt like it had been hand crafted rather than one in a among hundreds or thousands, in a particular scene.

There are 3 aspects that warrant attention, and all for positive reasons; The Joker, was magnificently portrayed by Heath Ledger, at the Première there was at least one mention of it being an Oscars worthy performance, this I whole heartedly agree with, whether it will actually happen is another story altogether (Best Picture 1977?).

Highlight number two, the score, a beautiful classically based musical accompaniment. It didn’t feel like pulp culture music, I felt it was an everlasting classic, something that won’t feel dated over time.

And finally the story, gripping, I never knew what was going to happen next and I couldn’t wait to find out.

No criticism from me here, I really would like to try but I can’t, it was a film I thoroughly enjoyed and will sing praises loudly about. Not something I often do so enjoy it while it lasts, hopefully I’m not the only one to feel this way and no-one will throw any right hooks and my view.

Rating: 97.8%

-0.2% because cinema ticket prices are so damn expensive when wanting to see it again.