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| quote: | Originally posted by DigiNut
Define "better".
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As stated in one of my previous posts, one needs a metric by which to define "better". A suitable choice would be the average integral dt of human happiness or satisfaction over a lifetime. Other suitable choices exist. I'm sure you are familiar with utilitarianism and related concepts, so I won't bore you with details you already know.
| quote: | Originally posted by DigiNut
And what is this nonsense about game theory? Sure, it's an interesting field, I've read a lot of it myself, but it doesn't claim to be a model for social behaviour outside of... well, games.
Real life is not game theory. Information is always constrained, resources usually are not, actors are not rational, and there are few if any clearly-defined rules and boundaries. Game theories are useful models for explaining and predicting a limited subset of social and psychological phenomena, but extrapolating it the way you have is just asinine, and I believe that the majority of practicing mathematicians and researchers in the field would laugh at you for trying to use it in such a way.
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Many authors have written about social implications of game theory and you are naive to dismiss it as irrelevant. For example, Brian Skyrms has been quite influential in this area.
| quote: | Originally posted by DigiNut
Essentially you've given us an analogy in place of evidence and justified it with some excuse about it being too difficult to come up with direct evidence. As someone so deeply interested in mathematics, you really ought to be holding yourself to a higher standard than this. Analogies are the tools of writers and politicians, not mathematicians and scientists, and while they are excellent for explaining difficult concepts to unfamiliar audiences, they have zero value in deductive reasoning.
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In the social sciences, one often seeks a mathematical model by which to model human interaction. For example, the Black-Scholes model can accurately model the market for an equity given certain assumptions. If the assumptions are not accurate, you refine the model. The Black-Scholes model is not an "analogy". It is a mathematical representation of a social phenomenon.
Game theoretic models of social behaviour are the same. Aumann and Schelling won the 2005 Nobel prize in economics because of their work in the area. Their analysis has proven extremely useful in modeling competition, conflict, and cooperation.
Dismissing these types of analysis as "the tools of writers and politicians" is doing a great disservice to the entire field of social science. I don't think you actually believe this, but then either you're failing to understand my argument, or you're attacking a straw man.
The one reasonable counter-claim you made is that actors in real life are not always rational. However, this only helps your cause if you believe that it's easier or better to coerce people into behaving in a globally optimal manner by indoctrinating them, rather than actually teaching them to understand the consequences of their actions and building a society where law and responsibility enforce reasonable behaviour. So maybe it's better to have a society full of sheep...?
I suppose some people might think so. I don't.
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I am nobody. Nobody is perfect. Therefore I am perfect.
Last edited by DJ_Elyot on Feb-02-2009 at 06:05
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