DARWIN vs. SURVIVAL
It’s more
than game or a roll of the dice.
DARWIN vs. SURVIVAL
At first, it was nothing more than a game. Board games, like chess and
backgammon, which have been around for centuries, were simply for fun. Even
when card and dice games lured professional gamblers, most people still played
for leisure. Then came professional
sports, and games became big business. Nonetheless, it was all part of the
entertainment industry. But one day the game left the living room and the
baseball field and entered into the research labs of mathematicians and theoretical
economists.
“Game Theory” had been largely unnoticed until one of the
most brilliant minds of the 20th century, John von Neumann, realized that the
mathematical models used in economics did not mirror the way decisions are made
in the real world. Rational choice is not simply a matter of weighing
alternatives. Reactions and decisions by other people must also be taken into
account. Example: the Prisoner's Dilemma.
Imagine two people in jail. While there is insufficient evidence to
convict them on a serious charge; there is enough for a lesser offence. The
police therefore separate the two prisoners and make each the following
proposal: If you testify against the other, you will go free, and he will be
imprisoned for ten years. If he testifies and you stay silent, you will receive
ten years, and he will go free. If you both squeal, it’s five years each. If
you both stay silent, you will each be convicted of the lesser charge and face
a one year sentence.
The paradox is that while the best outcome would be for both to remain
silent, neither will opt for this strategy. Since each is unable to know
if the other is ‘dealing’, they cannot take the risk of staying silent.
The Prisoner's Dilemma is remarkable because it shows that two people, both
acting rationally, will produce a result that is bad for both of them.
Yisroel
Robert. J. Aumann, the Israeli mathematician who attended the Rabbi Jacob
Joseph Yeshiva in New York ,
won the 2005 Nobel Prize in Economics for his work in “conflict and
cooperation through game theory analysis.”
In 1985, Aumann demonstrated that Game Theory has its origins in the
Talmud (Kesubos
93a) that
discusses dividing a late husband’s estate amongst his three wives. (Note:
This particular Mishna has puzzled Talmudic scholars for two millennia.)
In short, Game Theory argues (quite convincingly) that individuals acting
in self-interest do not always produce positive results. In fact, the opposite
is true. When people learn to cooperate, instead of compete, it is advantageous
to all parties. But, as the Prisoner's Dilemma suggested, only after repeated
encounters would all concerned realize this. Thus, in the late 1970s a
competition was announced to find a computer program that generated the most
beneficial outcomes, in which the same opponents indeed met repeatedly.
The winning program was devised by another Jew, Anatole Rapoport, who
conducted and composed music in Vienna .
However, due to the rise of Nazism, he fled to America and mathematical theory.
His winning entry called Tit-for-Tat was simple: it began by
cooperating, and then repeated the last move of its opponent. It worked on the
rule of, “What you did to me, I will do to you,” or “measure for
measure.” According to Peace Magazine, the program “punished the
other player for selfish behavior and rewarded for cooperation…This proved
exceptionally effective, quickly showing the other side the advantages of
cooperating. It also set moral philosophers to proposing this as a workable
principle to use in real life interactions.” (No Joke: His children
reported that he was a bad poker player. Any surprise there?)
Can there be such a thing as an objective/scientific basis for
morality? For some, the idea seems absurd. Morality is relative. Moral
judgments are not truths, but choices. Indeed, this was the accepted wisdom in
philosophy for over a century after Nietzsche had argued for the abandonment of
morality, which (parenthetically) he saw as the product of Judaism.
But as Game Theory makes clear the moral principle of measure for measure
(in Hebrew, middah k’neged middah) actually works. This axiom can
actually be traced back all the way back to the Bible itself. At the covenant G-d made with Noah, He
declared, “Whoever sheds the blood of man; by man shall his blood be shed.”
This is simply retributive justice: Tit-for-Tat. In fact, at this point
the Torah does something very subtle. The six Hebrew words are a mirror image
of one another: [1] Who sheds [2] the blood [3] of man, [3] by man [2] shall
his blood [1] be shed. Here, style reflects substance.
The ‘Game’ has a sequel. In 1989, another program, called Generous,
beat Tit-for-Tat. It overcame one weakness; a particularly nasty
opponent is likely to draw one into a potentially endless and destructive cycle
of retaliation, which is bad for both sides. Generous avoided this by
randomly but periodically forgetting the last move of its opponent, thus
allowing the relationship to begin again. What the programmer named Generous,
the Torah refers to as Forgiveness.
Once again, there is a connection to Noah. After the Flood, G-d vowed, “Although
the imagination of man's heart is evil from his youth; I will not destroy every
living thing as I have done.” This is the principle of Divine
forgiveness.
Morality is no longer just a ‘nice’ idea; science and reason
demand that we make it a part of our life.
In one of the early works of Jewish philosophy, Sefer Emunos v’Deos
(The Book of Beliefs and Opinions), Rav Saadia Gaon (882-942
C.E.) explained that the truths of the Torah could be
established by reason. Why then was revelation necessary? Because it takes
humanity time to arrive at truth, and there are many slips and pitfalls along
the way. Therefore, long before the first game came along, G-d revealed various
moral truths that are the basis of His covenant with man: cooperation is as
necessary as competition, that cooperation depends on trust, that trust begets
justice, and that justice is incomplete without forgiveness.
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