You blow them up of course. That is the logical outcome of the Prisoner's dilemma.
Which is kinda the odd thing about the Prisoner's dilemma. It just feels like a "Everyone loses" scenario.
No. Not at all. The conclusion to be reached, both logically and morally, is to not be a selfish dick.
One of the additional aspects of it is that if you screw someone over once, neither they nor anyone else will trust you to cooperate ever again. If you cooperate, you may lose out once or twice, but in the long run you will build successful relationships with others who cooperate, generating far more "good" for you than a single betrayal could ever provide. This is the basis for all of human society: it is more beneficial for everyone involved to work together, obey laws, etc. because living in a successful community is far more beneficial over the long term.
Take, for example, a pair of stone-age hunters. If they work together to bring down an animal larger than either could alone, they've each got two options: Trust the other to stay cooperative and only take their share; or take as much as they can. If they both betray the other, they leave with mutual distrust and only whatever they could grab. If one betrays the other, the betrayer gets more from that kill, but loses out on the possibility of future cooperation. If they share equally, they each get not only a greater share than they would through mutual betrayal, but also reap the increased benefits from further cooperative efforts in the future, making each of their lives easier and more rewarding.
Choosing to betray in the Prisoner's Dilemma is incredibly shortsighted. Cooperation spawns further cooperation and the benefits thereof, for however long such interactions continue. Betrayal at best provides a single short-term increase in benefit but destroys all chance of future cooperation.
Entirely different Dillema there Dice. The Hare theorom. Do you abandon and chase the rabbitt, or do you help them out and get a deer? The problem being, if enough chicken out, it fails, and they chiken outers prove theselves right. It's how markets collapse.
You have no reason to co-operate, plus THEY have no reason to cooperate
That isn't the prisoner's dillema. The Prisoner's dilemma is ultimately that the option where you both co-operate is the best possible outcome for the both of you.
It is the fact that one of you betraying the other without the other betraying you back being the best possible outcome for ONE of you... That is the issue here.
It is about intentionally taking a loss to prevent the worst case scenario.
It isn't math because you cannot quantify it because it isn't a quantifyable scenario and the numbers ultimately don't matter. Numbers are just applied to it.
Logically, and comparing the outcomes, you both screw yourselves over
No logically the best case scenario for two people as a whole is for both of you to work together. That is the point of it being a "Dilemma".
NO NO NO NO NO. You just don't get it. You can't communicate! You aren't taking a loss, because you cannot EFFECT their actions. If you cooperate, he can easily fuck you over. And if you defect too, it doesn't change what he did. Even if he cooperates, you always do better in terms sof numbers then if you defected. Would we like to cooperate? Sure! But we can't know the other guy won't fuck us other, plus HE might feel the same way and fuck us other just to protect himself. It's self-perpetuating.
It is as true as The Pythagorean theroem.
You mean subject to the axiom that we are working on a euclidean plane?
How would a non-euclidean prisoner's dilemma even work?
Don't, know.
Anyway,onto a more entertaining Game teory, the DOLLAR AUCTION! Hello folks, Top of the morning to you top of the day, it's time, to play. For bid we have ONE, Dollar. This seems stupid you say. "What's to keep me from betting 1 penny and convincing eveyone else to split it?" Nothing, except that guy other there, who looks like he'd want it all to himself for 2 pennies. And so on. "But wait, it will eventually be .99, and then you just owe a penny" It would be if you listened to thre rules dear boy. Because, while the top bidder gives me his bid in exchange for a dollar, the second-highest bidder gives it to me and gets NOTHING. That's right folks. So mister .98 over there might want to not pay that, and go to a dollar. And what about you? It's a choice between paying 1 cent and payign 99. easy right?
*five minutes later*
Thanks for your money folks. All $10 of it.