Revisiting Tit-For-Tat
Tit-For-Tat as a strategy was hailed in the Iterated Prisoner's Dilemma (IPD) tournament of Axelrod (see Wikipedia background) as showing that altruism can be a product of evolution (Games People Play and How Nice Guys Finish First):
"Axelrod discovered that when these encounters were repeated over a long period of time with many players, each with different strategies, greedy strategies tended to do very poorly in the long run while more altruistic strategies did better, as judged purely by self-interest. He used this to show a possible mechanism for the evolution of altruistic behavior from mechanisms that are initially purely selfish, by natural selection."
I return to this topic for two reasons.
The first is when I found the software SciLab, the closest thing to MatLab and free as in free beer. SciLab is not a clone of MatLab, but translation from MatLab is relatively easy (there is function mfile2sci in SciLab to do it). I used MatLab before, and I was glad to use open source SciLab.
So the first thing I did was translate the MatLab codes which I got from Iterated prisoner’s dilemma in MATLAB into SciLab and run the tournament.
SciLab is now, together with paper & pen and Microsoft Excel, my favourite tools for doing Mathematics. Sage and Mathematica, although very powerful, are not as handy.
The second reason is the problem of reconciling Tit-For-Tat with Buddhist views.
Tit-For-Tat is said to be nice, forgiving, non-envious, but it also retaliates. It is the last attribute retaliation which is questionable from the Buddhist standpoint.
Tit-For-Tat will never defect first, but it will punish opponent's defection.
The idea of punishment is not acceptable in Buddhism.
Closer examination makes it clear that in the IPD setup, no communication between the players is possible. Hence we can say that IPD is not a realistic model of human interaction.
If communication were possible, it would be used first to reason with the opponent, but then it would not be IPD.
Nevertheless, although IPD is not a realistic model, it does at least show the possibility of the evolution of altruism.
A similar conclusion is reached when reading the New Scientist article Religion is a product of evolution, software suggests.
While the conclusion that religion is an emergent mental artifact of our evolution is quite plausible, the model is simply too crude and unrealistic. Incidentally the software is written in SciLab: SciLab program to simulate the evolution of religion
Link: Blog entries on game theory
