Am I unusual in wanting the outcome in which my opponent and I both win? In preferring the outcome in which I lose to the one in which I have to betray my opponent to win?
My understanding is that (as fullerine says) the overwhelming flaw in game theory is that people are motivated by much more complex (and attractive) things than self-interest.
So I am a misogynist :)
Since the assumptions aren't satisfied, the mathematical theory isn't relevant.
Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers."
Of course it would never work twice, because the next guy would steal.
In terms of game theory, why should Nick choose to split?
The interesting phenomenon in that clip is all about psychology, not game theory.
In the other Split or Steal clip I link to above, both sides say to the other that part of the reason why they won't steal and why the other side should believe that they won't steal, is that the people watching will hate them i.e. there is public recognition by the players of lots of social pressure (and consequences thereof) from the millions watching that they should play fair with each other. One jokes that the audience will probably lynch him if he chose steal, the other says that everyone she knows would be disgusted at her if she chose steal.
I'm not sure why you think there's a difference. Game theory is essentially a framework that's been adopted to model behavior.
Ah, but how about anyone who tells you they always lie?
benbenson: "In 2009, the foreign born represented 12.5 percent of the United States' total population. The percentage of EU residents born outside of the EU is 6.3."
This endgame would be even more interesting if you had three choices: Split, Steal and Catch.
If both players split, they get 50% each. Steal beats split (the stealer gets 100%), catch beats steal (the "caught" player goes away with nothing), but split beats catch. If both choose to steal or catch, they both get nothing.
You couldn't do the same trick in this game, as there is always a strategy to beat the other player completely, independent of what he chooses.
Posted by: wasyl at April 24, 2012 7:51 AM
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