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Yes, game theory can get inscrutably complex, even through the initial models are pretty simply to set up and understand. The basic components of any coordinat
by Perceval 17y ago
Yes, game theory can get inscrutably complex, even through the initial models are pretty simply to set up and understand.
The basic components of any coordination/cooperation problem are the same: you have actors with preferences, you have a situation with rules that they can't change, and you have outcomes with payoffs/penalties depending on whether the actors choose to cooperate or not.
Most of the problems revolve around how to get people to cooperate, when defection is attractive for some reason. Most of the solutions involve making sure situations are not one-off interactions, that all actors have information about what each other is doing, and that in the case of multiple actors using common resources, you need to have some form of monitoring and enforcement.
If actions are one-off, the temptation to act selfishly is higher than if actors know they are in a long-term situation in which they must choose to cooperate or defect time and time again. In this way information such as reputation can then function as a signaling device to other actors.
Games such as the Prisoner's Dilemma work only when presented as a one-off situation in which both actors have no information about what they other is going to do. So the solution is 1) make sure you're not setting up one-off interactions, and 2) make such actors are in an information rich environment wherein they can make appropriate signals about their intentions and past behavior.
Most of the other games, such as Tragedy of the Commons or Battle of the Sexes, have stable solutions if you repeat them and increase the information available to the actors. The equilibrium solutions are called Nash Equilibriums, after John Nash, the paranoid schizophrenic mathematician featured in the movie A Beautiful Mind.
http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.
A bit more than a one-liner, but hopefully this helps a bit.
- alecco 17y agoBeware of simplistic conclusions of very basic game theory, especially if it's coming from RAND. http://en.wikipedia.org/wiki/Tragedy_of_the_anticommons http://en.wikipedia.org/wiki/Tragedy_of_the_anticommons This documentary enlightens a bit on the subject and is quite accessible. http://en.wikipedia.org/wiki/The_Trap_%28television_documentary_series%29#1._.22Fuck_You_Buddy.22_.2811_March_2007.29 http://en.wikipedia.org/wiki/The_Trap_%28television_document... http://video.google.com/videoplay?docid=404227395387111085# http://video.google.com/videoplay?docid=404227395387111085# (AFAIK not released outside of Britain due to footage rights issues, a real shame.)