Prisoners dilemma

[tinyjo]

There are 100 prisoners in solitary cells. There’s a central living room with one light bulb; this bulb is initially off. No prisoner can see the light bulb from his or her own cell. Everyday, the warden picks a prisoner equally at random, and that prisoner visits the living room. While there, the prisoner can toggle the bulb if he or she wishes. Also, the prisoner has the option of asserting that all 100 prisoners have been to the living room by now. If this assertion is false, all 100 prisoners are shot. However, if it is indeed true, all prisoners are set free and inducted into MENSA, since the world could always use more smart people. Thus, the assertion should only be made if the prisoner is 100% certain of its validity.

The prisoners are allowed to get together one night in the courtyard, to discuss a plan. What plan should they agree on, so that eventually, someone will make a correct assertion?

You can find some solutions here in a draft paper. Found in brads journal.

Comments

[maelkann.livejournal.com]

Not entirely prisoners dilemma, but intriguing none the less.

[tinyjo.livejournal.com]

Not the classic one, certainly, but the title fits :)

1 warden, 100 prisoners?

[applez.livejournal.com]

They should all claim to be Sparticus and start a revolution - from the prison yard where they have strength of numbers.

60% casualties are acceptable with a 100% shot-to-death sadistic sword of damocles alternative.

:-) And that's why I'm not a mathematician. ;-)

Re: 1 warden, 100 prisoners?

[tinyjo.livejournal.com]

Depends how quickly they need to get out, given there are failsafe plans available :)