Playing by the Rules and winning outside convention

I’ve just read an epic piece the like of which I would love to be able to write it involves Lawrence of Arabia, David and Goliath, Indiana Jones, an A.I. called Eurisko and the Redwood City girls Junior Basketball team.

It’s whooping 8 pages long so if you don’t want to paginate through heres the one page printable version.

Summary

The piece is ultimately about the Basketball team, a fair-minded coach that was new to the game questioned the conventional defensive playstyle of other teams and acted as he thought best. This is where David an Goliath comes in his team were not as adept at the game as their opponents, they were the underdogs and they won.

This leads to (T. E.) Lawrence of Arabia and Indiana Jones, Lawrence beat the Ottoman Army occupying Aqaba in Arabia near the end of the First World War by not attacking where they were strongest but were they were weakest; their flank. If I remember correctly from Strategy games (like Age of Empires) its similar to the Fabian strategy, where you win by attrition. You can see this in the Indiana Jones Chronicle: Daredevils of the Desert.

The AI was used to design a navy fleet capable of beating another custom designed navy. Its suggestion was lots of ships with no defence, whilst one shot would sink one ship a 1000 ships would take longer to destroy than ten ships requiring 10 shots each.

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.