Game Theory

Game theory! This really is an ideal way to introduce some mathematical, logical thinking in a way which IMO would be a definite asset to us. How do 'non-zero sum games' like the prisoners' dilemma relate to the online give and take?


But we have to distinguish constructive, initiative-taking participation in a list (perhaps some risk-taking), from a more boorish, self-interested, combative kind of domination at the expense of the group's purpose and attention, or resources. Are there objective criteria for this or is it only "in the eye of the beholder" which side a list's activity falls on?
The neat thing about the prisoner's dilemma as a model of cooperative behavior, simple as it is, is that it's utterly amoral -- solely based on the question "how do I get the maximum personal benefit out of this ambivalent situation -- whether to cooperate with the other player, in which case both get a moderate reward (taking turns on a list?) or whether to 'defect' which in the model means gambling on grabbing the maximum reward (attention/bandwidth?) which only works if the other player has gambled on cooperation and the moderate reward(let him/her get away with it?)….

So at least in this model a moderate, cooperative approach doesn't depend on satisfying an arbitrary standard of etiquette or anyone's personal taste -- the outcome is based only on the participants struggling to find out what works out best for them individually. No imposed rules or regulations other than "what's ultimately going to work out best for you?"


I believe that Hobbes gave us a presocietal anthropological fantasy in which all sorts of mayhem occurred because each individual was trying to advance his or her own narrow interests. It was a dog eat dog (not dogfood) world, and you could be killed on the streets for your Nikes. Dissatisfied with this state of affairs the people agreed that they would exchange what advantages they got from pursuing their narrow interests for the stability of the cooperative alternative in the prisoners dillemma. Government, a monarch in Hobbes case, a listowner or moderator in ours, was given the task of enforcing the cooperative alternative.…

Note that government also enforces the noncooperative choices in the prisoner's dillemma. Businesses long ago noticed the advantages of the cooperative choice. Rather than pursue individual interests, they joined together to set prices and divide markets so that each got a reasonable piece of the pie. Everyone was happy except the consumer who had to live with high prices, bad service, and lack of choice. Government stepped in with antitrust laws.


A Medline search on 'game theory', citations since 1994, yielded over 400 hits, the first 25 of which I downloaded. It's about 30k in length so I won't inundate the list with it but will send it to James and anyone else who's interested in it.
In the prisoners dilemma, public safety is factored out, and when these two naive prisoners both take the altruistic (or silly) alternative, they both escape doing the time for the crime and will be out on the streets burglarizing people again shortly. The prisoners benefit greatly from the cooperative option, but society,if it has any stake in truth and justice, suffers.…

When one declares the interests of victims and neighbors to be irrelevant to the problem in the prisoner's dilemma, one comes close to making deception a virtue. When a list, through its listowner or by other methods, declares a point of view uninteresting or "not our thing," it is withdrawing rather than confronting and risks a result in which everyone suffers. Although the cooperative alternative often exudes moral attractiveness it can be used to achieve some very unintelligent and unattractive results. In the prisoner's dilemma it is illogical, untruthful, and ultimately immoral. When veiwed in the full context of society, the prisoner's dilemma may be no dilemma at all, but simply the demonstration of a small minded strategy for avoiding social responsibility.


Although the listserv system permits people to meet and interact with others from vastly different cultures and viewpoints, it also permits people to seclude themselves into extremely insulated and isolated groups where the cooperative alternative is enforced with a vengence.…

In the social and political arena many of these narrowly focused and very cooperative groups, groups which maintain the level of cooperation by factoring any disturbing member out of the game, are made up of well educated socially liberal people. They are tolerant and respectful of opposing views, but simply choose to spend time with others who share their outlook. They are relativists at their worst, claiming that all points of view are more or less equally valid, and thereby avoiding the stress of looking carefully at those who act or believe differently. This insidious and divisive twist on the virtue of "tolerance" becomes a form of elitism that inhabits the dark side of American liberalism. (BTW I am a liberal) The cooperative choice comes to resemble the price fixer more than the altruist.


Game theory with only 2 participants doesn't make sense to me in trying to relate it to group dynamics
Which is to say that after the fact, rationality may be projected upon the facts of the choice-making using tools such as the prisoner's dilemma, when in fact it was the choice-maker's anxiety, denial and avoidance (say, of moving into the 'truer' :-) dilemma of a depressive position,) that clouded over any sense of rational judgement predicated on anticipated benefit
The dilemma is ours. How can this illogical state of affairs exist? Although, as I suggested earlier, there may be no dilemma at all when the totality of cirmcustances is seen. Compare it to the chicken and eqq question. The answer is easy--Darwin--but you must step outside the question to see it.
A program for playing an indefinite sequence of Prisoner's Dilemma games was develped by Anatol Rapoport. Given on page 37 of Five Golden Rules: Great Theories of 20th-Century Mathematics -- and Why they Matter, copyright 1996 by John L. Casti, "It consists of two rules: (1) cooperate on the first encounter, and (2) in subsequent rounds, do whatever your opponent did on the previous round." Up against other strategies Tit for Tat will win, even against itself.
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