In reality, people would always argue that not only the outcome of the game but the game itself was unfair. Fair games are expected to produce fair results. Perhaps unnaturally lucky A was a cheater who skillfully replaced the coin. The rich winner of the tournament had the advantages of being lucky and/or having otherworldly intuition. Perhaps he should be given more money, as he must be good at this game. Such rationalizing logic accurately describes the success of our financial gurus.
But that’s just the beginning. Ever tighter scrutiny will always detect hidden agendas and advantages. The two players are never the same – imagine that... I’ve heard countless times how unfair it is that children of the rich have more opportunity open to them than children of the poor. One would think that the solution of this problem is self-obvious: newborn children should be randomized at birth, so biological children of the poor would have equal opportunity to be raised in the families of the rich. Logically, this should solve the problem once and for all, but good luck selling it to the public. They want equal opportunity AND raising their own children, while it is obvious that the two things are mutually incompatible. For all this talk about the equality of opportunity, you will be told that this (equally) randomized opportunity is still unequal. Well, let me open a secret: it cannot be made equal no matter what you do. No matter how you level the field in one respect there will always be striking inequality of the outcomes. Having higher IQ is as unfair as having been born rich. If people are poor, they can be given money; if they are stupid, that is much harder to fix. The most idiotic thing one can require, in this respect, is material equality. First, it simply cannot last, even if the “game” is absolutely fair; second, it means that unfairness will find a subtler outlet, be it access to status, power, knowledge, privilege, respect, happiness, etc. By far, unequal distribution of colored pieces of paper is the most benign type of unfairness imaginable, but people are still unhappy and bitterly complaining about it.
As people themselves have no clue as to what they mean by fairness, weird rumors about this elusive condition abound. Some say that fairness is giving by desert. Some say that it is giving by need. All of that sounds great until you realize that a human being is a pit of wants. You cannot give according to one’s need, because this need is bottomless and the appetite only grows as more is given. You cannot give according to one’s desert, because everyone is deserving in his own eyes.
Perhaps for this reason people do not like to define fairness; that would obviously stand in the way of extortion in the name of fairness. However, one can define fairness so imaginatively that the latter is always possible. Hart and Rawls defined the principle of fairness
... when a number of persons engage in a just, mutually advantageous, cooperative venture according to rules and thus restrain their liberty in ways necessary to yield advantages for all, those who have submitted to these restrictions have a right to similar acquiescence on the part of those who have benefited from their submission.
Observe that their notion of fairness is conditioned on voluntary admission of mutual advantage and restraint of liberties. Naturally, most of our ventures are neither mutually advantageous nor entirely voluntary, so the principle applies to an abstraction; the sleight of hand is to identify this abstraction with ourselves. Would these imaginary persons try to get “similar acquiescence” they would learn that some people are in greater need and are more deserving than themselves. Besides, this equity may apply to anything from time spent to level of skill used to personal commitment to personal sacrifice and loyalty, and significant differences of opinion will immediately emerge. If they surpass these hurdles, there is still the question of equal division. Even in this most abstract form the problem cannot be solved. The procedure for envy-free division (=each person thinks that he receives at least a tied for largest piece) of goods for just four parties was solved only in 1997, and even this laborious procedure is not equitable (=each person’s subjective valuation of the piece that he or she receives is the same as the other person’s subjective valuation.)
http://www.ams.org/notices/200611/fea-b
Generally, envy-free and efficient (no other allocation that is better for one person and at least as good for the other person) divisions are not equitable and vice versa. If complete fairness cannot be achieved even in this hypothetical cake-cutting division, how can it be achieved in real life? We are content with using various approximated methods (such as sealed bids or designated divider) that provide a degree of “fairness,” which is ALWAYS questionable, as our own intuitions about fairness are inherently contradictory. To get our “equal” piece of divided cake we are always ready to sacrifice fairness, which makes perfect sense as the alternative is to die of starvation.
Sometimes one is brutally reminded of this fact. Today I’ve spent an hour explaining to my son, why a Russian roulette duel is unfair to one of the players, as they exchange a single loaded gun when they miss. It is not hard to work out the probability of killing the first shooter (6/11), but the interesting thing is that intuitively the “game” does not feel unfair, perhaps because the bias is only 0.045. So we examined a modification, when A spins the cylinder and shoots at B, and B gets two shots at A and passes it to A, who gets three shots at B, etc. The probability changes to 0.524, but it is not something that one can calculate in one’s head. It is even less clear with the coin, because of dynamic instability (giving it 0.008 advantage) and unequal mass distribution. Yet such biased wagers are routinely taken in full understanding that they are unfair. The question is why.
I believe that deep down we are well aware that the pursuit of fairness is futile. Had people really wanted fairness and fairness were meaningful, we would have it long time ago. Fairness is not something we can afford. When things are unfair one can always blame one’s faults on the others. Would things be fair, who is going to be blamed for the sorry outcome?
Exactly. So it is much better to have fuzzy notions of fairness that leave plenty of room to complain about unfairness of life, and that is what we do.
Why is life unfair?
December 29 2011, 03:15:57 UTC 4 months ago
Is "desert" a proper use of the word meaning "deserving"? It never occured to me that "dessert" may have the same origin.
We are talking about bridging the gap (moderating the dynamics of inequality) not fairness in equality, which is harder to attain or define. When far from being equal, things are a little more obvious than you describe: instead of 1-2-3-4.. sequence, life is more like 1-5-1-5-...
December 29 2011, 06:06:20 UTC 4 months ago
I wonder how is it possible to "bridge the gap" in a way that can be subjectively felt fair. I often hear about "social lifts" and such like. Somehow no one tells that those wonderful places up there have been occupied, so the social lift carrying someone to the top means another person carried down. It can't be ALL upward mobility. So "closing the gap" means people going up AND down. The descendants of today's rich will become tomorrow's poor and the descendants of today's poor will become tomorrow's rich. I think that this is all bridging that one needs, but it is happening anyway, without anyone's engineering efforts. Very few of the rich can stay at the top for more than 2-3 generations. It is much closer to beating random odds than most people are willing to admit. If you are patient, you will see "fairness" in action despite the fact that its every snapshot is the display of unfairness.
December 29 2011, 09:45:42 UTC 4 months ago
Besides, "bridging the gap" does not have to feel fair to everyone. It just has to feel "less unfair, compared to the old system" for the overwhelming majority of participants. All I would argue for is a system where merit of a young person would be a determing factor of his success, not wealth or race or origins of his parents.
December 29 2011, 18:11:39 UTC 4 months ago
The problem with your last argument is that merit is different from wealth, race, or parents only in being even more pure form of inequity. Perhaps you believe that people have full control over it. But this is not so. I think that meritocracy is the most unfair arrangement of all, as there is no compensation and no consolation to those without merit. Furhtermore, I have my doubts that success even depends on merit.
December 29 2011, 11:22:50 UTC 4 months ago
If it was the case, we all still been living in the caves. :)
\\ So "closing the gap" means people going up AND down
There is NO crime in it.
It's just a distant consequence of the fact that humans are mortal.
December 29 2011, 18:30:44 UTC 4 months ago
And this reflects the general problem with the "social lift". The concept is contradictory in its most basic notion: verticality. The elevation is always relative, so one cannot have a "social lift" without stratification. The supposed means of bestowing fairness on the masses is conditional on the existence amd maintainance of inequity. The most amazing thing is that people can talk about such things without any discomfort, in all seriousness and with utter conviction. The engines of social lifts are greased with inequality; such devices can not ameliorate inequality, on principle. All they do is stirring the pot more vigorously.
4 months ago
December 29 2011, 03:24:16 UTC 4 months ago
December 29 2011, 06:19:23 UTC 4 months ago
http://comptop.stanford.edu/u/prepr
there is a bias of 0.8% for the coin to come up as started if you flip it at random. So you can always argue that coin tossing was unfair. But even if the coin is in the dynamic regime when the wedges in the phase space get very thin, there is still a chance that the two sides are unequal in mass. Suppose it is a small bias of 0.1%. Well, after a billion tosses you can be pretty sure that it is there and then using this knowledge you can make money on the subsequent bets. Some physical systems (a roulette) are examples of true dynamic chaos, but coin tossing is not. All "randomness" comes from your inability to control your muscles, and this is not good enough to even the chance.
December 29 2011, 15:35:55 UTC 4 months ago
Roulette, BTW, is not a true dynamic chaos. Experienced croupiers can manipulate it quite well.
December 29 2011, 17:52:27 UTC 4 months ago
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December 29 2011, 11:32:40 UTC 4 months ago
Yeah. It's an ideal.
And it is instrumental.
Its interesting question -- why so?
But answer is too obvious.
December 29 2011, 17:55:09 UTC 4 months ago
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December 29 2011, 11:06:13 UTC 4 months ago Edited: December 29 2011, 11:07:03 UTC
Heh!
It was. Its a Soviet Union.
At least in the minds of current youngsters. :))
December 29 2011, 12:35:14 UTC 4 months ago
December 30 2011, 03:10:48 UTC 4 months ago
BTW, I enjoyed reading your recent posts on Russian elections. I even learned something scientific from the ensuing discussion: people frequently suggested sand grains as the typical example of normal distribution (of size). I've checked it up, and it turns out that log p is hyperbolic rather than parabolic. There is a simple explanation for that, http://www.math.ku.dk/~michael/size.p
but no math is really needed: it is intuitively clear that the wings should be exponential because of self-similarity of the problem. It is the same with the roulette: once you think about it, it is obvious it can't be fair.
December 30 2011, 22:17:32 UTC 4 months ago
In any case, best wishes for the new year! BTW, I was recently amused and amazed to find out that two of my favourite blogs are written by a brother and a sister (one of them being you). Happy New Year!
December 30 2011, 22:35:19 UTC 4 months ago
Thank you for your kind words; I'll pass this to Masha - and a happy New Year!
December 30 2011, 20:43:54 UTC 4 months ago
Поскольку один из участников игры начинает первым, второй получает существенное преимущество — он не должен испытывать судьбу в случае неудачи первого. Для выравнивания риска второй участник НЕ должен вращать барабан после успешного хода первого. В этом случае вероятность гибели первого участника равна 1/6, а второго равна (вероятность получения хода) * (вероятность выпадения патрона)= 5/6 *1/5=1/6. То есть, рулетка без дополнительных вращений барабана является честной игрой в математическом смысле. ВИКИ
Т.е. вводим два правила - а) второй участник не должен вращать барабан, а первый - всегда должен вращать, б) второй участник должен в случае смерти первого, вложить новый патрон, вращать барабан и стрелять. Будет ли такой вариант 100% справедлив???
December 30 2011, 22:47:29 UTC 4 months ago
(22 March 1999, Phnom Penh) Decades of armed strife have littered Cambodia with unexploded munitions and ordnance. Three friends recently spent an evening sharing drinks and exchanging insults at a local cafe in the southeastern province of Svay Rieng. Their companionable arguing continued for hours, until one man pulled out a 25-year-old unexploded anti-tank mine found in his backyard.
He tossed it under the table, and the three men began playing Russian roulette, each tossing down a drink and then stamping on the mine. The other villagers fled in terror. Minutes later, the explosive detonated with a tremendous boom, killing the three men in the bar. "Their wives could not even find their flesh because the blast destroyed everything," the Rasmei Kampuchea newspaper reported. http://darwinawards.com/darwin/darwin19
January 6 2012, 22:53:46 UTC 4 months ago
И столь же полезно для общества как целого.
Я не понимаю, почему Вам не нравится справедливость.
Возможно, потому, что всякая социальная уравниловка кажется Вам несправедливой.
Конечно же всякие рассуждения о справедливости полны самообмана и нарушений логики.
Но это же касается и многих других рассуждений.
Нас же не возмущает, что большинство людей не умеют складывать дроби.
January 7 2012, 21:06:28 UTC 4 months ago
January 7 2012, 21:53:23 UTC 4 months ago
Стремление к справедливости и уровень насилия это разные вещи.
Логика хромает у всех, но стремление к убийству есть не у всех.
January 7 2012, 22:20:11 UTC 4 months ago
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