The Prisoner’s Dilemma

It’s a classic thought experiment, mathematical problem and a cause of much philosophical debate. Over the years it has found its way into every sphere of existence from serious lecturing to game shows to, on numerous occasions, real life. It has been argued as being the basis for all religion, and its place in our society. And to think that it, in its purest form, is nothing more than a story about two men in a jail- the prisoner’s dilemma.

The classic example of the dilemma goes roughly as follows; two convicts suspected of a crime are kept in single custody, separated from one another and unable to converse. Both are in fact guilty of the crime, but the police only have evidence to convict them for a small charge, worth a few months in jail if neither of them confess (the ‘cooperation’ option). However, if they ‘rat out’ on their partner, they should be able to get themselves charged with only a minor offence for complicity, worth a small fine, whilst their partner will get a couple of years behind bars. But, if both tell on one another, revealing their partnership in the crime, both can expect a sentence of around a year.

The puzzle comes under the title (in mathematics) of game theory, and was first formally quantified in the 1950s, although the vague principle was understood for years before that. The real interest of the puzzle comes in the strange self-conflicting logic of the situation; in all cases, the prisoner gets a reduced punishment if they rat out on their partner (a fine versus a prison sentence if their partner doesn’t tell on them, and one year rather than two if they do), but the consequence for both following the ‘logical’ path is a worse punishment if neither of them did. Basically, if one of them is a dick then they win, but if both of them are dicks then they both lose.

The basic principle of this can be applied to hundreds of situations; the current debate concerning climate change is one example. Climate change is a Bad Thing that looks set to cause untold trillions of dollars in damage over the coming years, and nobody actively wants to screw over the environment; however, solving the problem now is very expensive for any country, and everyone wants it to be somebody else’s problem. Therefore, the ‘cooperate’ situation is for everyone to introduce expensive measures to combat climate change, but the ‘being a dick’ situation is to let everyone else do that whilst you don’t bother and reap the benefits of both the mostly being fixed environment, and the relative economic boom you are experiencing whilst all the business rushes to invest in a country with less taxes being demanded. However, what we are stuck with now is the ‘everyone being a dick’ scenario where nobody wants to make a massive investment in sustainable energy and such for fear of nobody else doing it, and look what it’s doing to the planet.

But I digress; the point is that it is the logical ‘best’ thing to take the ‘cooperate’ option, but that it seems to make logical sense not to do so, and 90% of the moral and religious arguments made over the past couple of millennia can be reduced down to trying to make people pick the ‘cooperate’ option in all situations. That they don’t can be clearly evidenced by the fact that we still need armies for defensive purposes (it would be cheaper for us not to, but we can’t risk the consequences of someone raising an army to royally screw everyone over) and the ‘mutually assured destruction’ situation that developed between the American and Soviet nuclear arsenals during the Cold War.

Part of the problem with the prisoner’s dilemma situation concerns what is also called the ‘iterative prisoner’s dilemma’- aka, when the situation gets repeated over and over again. The reason this becomes a problem is because people can quickly learn what kind of behaviour you are likely to adopt, meaning that if you constantly take the ‘nice’ option people will learn that you can be easily be beaten by repeatedly taking the ‘arsehole’ option, meaning that the ‘cooperate’ option becomes the less attractive, logical one (even if it is the nice option). All this changes, however, if you then find yourself able to retaliate, making the whole business turn back into the giant pissing contest of ‘dick on the other guy’ we were trying to avoid. A huge amount of research and experimentation has been done into the ‘best’ strategy for an iterative prisoner’s dilemma, and they have found that a broadly ‘nice’, non-envious strategy, able to retaliate against an aggressive opponent but quick to forgive, is most usually the best; but since, in the real world, each successive policy change takes a large amount of resources, this is frequently difficult to implement. It is also a lot harder to model ‘successful’ strategies in continuous, rather than discrete, iterative prisoner’s dilemmas (is it dilemmas, or dilemmae?), such as feature most regularly in the real world.

To many, the prisoner’s dilemma is a somewhat depressing prospect. Present in almost all walks of life, there are countless examples of people picking the options that seem logical but work out negatively in the long run, simply because they haven’t realised the game theory of the situation. It is a puzzle that appears to show the logical benefit of selfishness, whilst simultaneously demonstrating its destructiveness and thus human nature’s natural predisposition to pursuing the ‘destructive’ option. But to me, it’s quite a comforting idea; not only does it show that ‘logic’ is not always as straightforward as it seems, justifying the fact that one viewpoint that seems blatantly, logically obvious to one person may not be the definitive correct one, but it also reveals to us the mathematics of kindness, and that the best way to play a game is the nice way.

Oh, and for a possibly unique, eminently successful and undoubtedly hilarious solution to the prisoner’s dilemma, I refer you here. It’s not a general solution, but it’s still a pretty cool one 🙂

Advertisement

The Myth of Popularity

WARNING: Everything I say forthwith is purely speculative based on a rough approximation of a presented view of how a part of our world works, plus some vaguely related stuff I happen to know. It is very likely to differ from your own personal view of things, so please don’t get angry with me if it does.

Bad TV and cinema is a great source of inspiration; not because there’s much in it that’s interesting, but because there’s just so much of it that even without watching any it is possible to pick up enough information to diagnose trends, which are generally interesting to analyse. In this case, I refer to the picture of American schools that is so often portrayed by iteration after iteration of generic teenage romance/romcom/’drama’, and more specifically the people in it.

One of the classic plot lines of these types of things involves the ‘hopelessly lonely/unpopular nerd who has crush on Miss Popular de Cheerleader and must prove himself by [insert totally retarded idea]’. Needless to say these plot lines are more unintentionally hilarious and excruciating than anything else, but they work because they play on the one trope that so many of us are familiar with; that of the overbearing, idiotic, horrible people from the ‘popular’ social circle. Even if we were not raised within a sitcom, it’s a situation repeated in thousands of schools across the world- the popular kids are the arseholes at the top with inexplicable access to all the gadgets and girls, and the more normal, nice people lower down the social circle.

The image exists in our conciousness long after leaving school for a whole host of reasons; partly because major personal events during our formative years tend to have a greater impact on our psyche than those occurring later on in life, but also because it is often our first major interaction with the harsh unfairness life is capable of throwing at us. The whole situation seems totally unfair and unjust; why should all these horrible people be the popular ones, and get all the social benefits associated with that? Why not me, a basically nice, humble person without a Ralph Lauren jacket or an iPad 3, but with a genuine personality? Why should they have all the luck?

However, upon analysing the issue then this object of hate begins to break down; not because the ‘popular kids’ are any less hateful, but because they are not genuinely popular. If we define popular as a scale representative of how many and how much people like you (because what the hell else is it?), then it becomes a lot easier to approach it from a numerical, mathematical perspective. Those at the perceived top end of the social spectrum generally form themselves into a clique of superiority, where they all like one another (presumably- I’ve never been privy to being in that kind of group in order to find out) but their arrogance means that they receive a certain amount of dislike, and even some downright resentment, from the rest of the immediate social world. By contrast, members of other social groups (nerds, academics [often not the same people], those sportsmen not in the ‘popular’ sphere, and the myriad of groups of undefineable ‘normies’ who just splinter off into their own little cliques) tend to be liked by members of their selected group and treated with either neutrality or minor positive or negative feeling from everyone else, leaving them with an overall ‘popularity score’, from an approximated mathematical point of view, roughly equal to or even greater than the ‘popular’ kids. Thus, the image of popularity is really something of a myth, as these people are not technically speaking any more popular than anyone else.

So, then, how has this image come to present itself as one of popularity, of being the top of the social spectrum? Why are these guys on top, seemingly above group after group of normal, friendly people with a roughly level playing field when it comes to social standing?

If you were to ask George Orwell this question, he would present you with a very compelling argument concerning the nature of a social structure to form a ‘high’ class of people (shortly after asking you how you managed to communicate with him beyond the grave). He and other social commentators have frequently pointed out that the existence of a social system where all are genuinely treated equally is unstable without some ‘higher class’ of people to look up to- even if it is only in hatred. It is humanity’s natural tendency to try and better itself, try to fight its way to the top of the pile, so if the ‘high’ group disappear temporarily they will be quickly replaced; hence why there is such a disparity between rich and poor even in a country such as the USA founded on the principle that ‘all men are created free and equal’. This principle applies to social situations too; if the ‘popular’ kids were to fall from grace, then some other group would likely rise to fill the power vacuum at the top of the social spectrum. And, as we all know, power and influence are powerful corrupting forces, so this position would be likely to transform this new ‘popular’ group into arrogant b*stards too, removing the niceness they had when they were just normal guys. This effect is also in evidence that many of the previously hateful people at the top of the spectrum become very normal and friendly when spoken to one-on-one, outside of their social group (from my experience anyway; this does not apply to all people in such groups)

However, another explanation is perhaps more believable; that arrogance is a cause rather than a symptom. By acting like they are better than the rest of the world, the rest of the world subconsciously get it into their heads that, much though they are hated, they are the top of the social ladder purely because they said so. And perhaps this idea is more comforting, because it takes us back to the idea we started with; that nobody is more actually popular than anyone else, and that it doesn’t really matter in the grand scheme of things. Regardless of where your group ranks on the social scale, if it’s yours and you get along with the people in it, then it doesn’t really matter about everyone else or what they think, so long as you can get on, be happy, and enjoy yourself.

Footnote: I get most of these ideas from what is painted by the media as being the norm in American schools and from what friends have told me, since I’ve been lucky enough that the social hierarchies I encountered from my school experience basically left one another along. Judging by the horror stories other people tell me, I presume it was just my school. Plus, even if it’s total horseshit, it’s enough of a trope that I can write a post about it.

One Year On

A year is a long time.

On the 16th of December last year, I was on Facebook. Nothing unusual about this (I spent and indeed, to a slightly lesser extent, still spend rather too much time with that little blue f in the top corner of my screen), especially given that it was the run up to Christmas and I was bored, and neither was the precise content of the bit of Facebook I was looking at- an argument. Such things are common in the weird world of social networking, although they surely shouldn’t be, and this was just another such time. Three or four people were posting long, eloquent, semi-researched and furiously defended messages over some point of ethics, politics or internet piracy, I know not which (it was probably one of those anyway, since that’s what most of them seem to be about among my friends list). Unfortunately, one of those people was me, and I was losing. Well, I say losing; I don’t think anybody could be said to be winning, but I was getting angry and upset all the same, made worse by the realisation that what I was doing was a COMPLETE WASTE OF TIME. I am not in any position whereby my Views are going to have a massive impact on the lives of everyone else, nobody wants to hear what they are, and there was no way in hell that I was going to convince anyone that my opinion was more ‘right’ than their strongly-held conviction- all I and my fellow arguees were achieving was getting very, very angry at one another, actively making us all more miserable. We could pretend that we were debating an important issue, but in reality were just another group of people screaming at one another via the interwebs.

A little under a week later, the night after the winter solstice (22nd of December, which you should notice was exactly 366 days ago), I was again to be found watching an argument unfold on Facebook. Thankfully this time I was not participating, merely looking on with horror as another group of four or five people made their evening miserable by pretending they could convince others that they were ‘wrong’. The provocativeness of the original post, spouting one set of Views as gospel truth over the web, the self-righteousness of the responses and the steadily increasing vitriol of the resulting argument, all struck me as a terrible waste of some wonderful brains. Those participating I knew to be good people, smart people, capable of using their brains for, if not betterment of the world around them, then perhaps a degree of self-betterment or at the very least something that was not making the world a more unhappy place. The moment was not a happy one.

However, one of the benefits of not competing in such an argument is that I didn’t have to be reminded of it or spend much time watching it unfold, so I turned back to my news feed and began scrolling down. As I did so, I came to another friend, putting a link up to his blog. This was a recent experiment for him, only a few posts old at the time, and he self-publicised it religiously every time a post went up. He has since discontinued his blogging adventures, to my disappointment, but they made fun reading whilst they lasted; short (mostly less than 300 words) and covering a wide range of random topics. He wasn’t afraid to just be himself online, and wasn’t concerned about being definitively right; if he offered an opinion, it was just something he thought, no more & no less, and there was no sense that it was ever combative. Certainly it was never the point of any post he made; each was just something he’d encountered in the real world or online that he felt would be relatively cool and interesting to comment on. His description described his posts as ‘musings’, and that was the right word for them; harmless, fun and nice. They made the internet and world in general, in some tiny little way, a nicer place to explore.

So, I read through his post. I smirked a little, smiled and closed the tab, returning once more to Facebook and the other distractions & delights the net had to offer. After about an hour or so, my thoughts once again turned to the argument, and I rashly flicked over to look at how it was progressing. It had got to over 100 comments and, as these things do, was gradually wandering off-topic to a more fundamental, but no less depressing, point of disagreement. I was once again filled with a sense that these people were wasting their lives, but this time my thoughts were both more decisive and introspective. I thought about myself; listless, counting down the last few empty days before Christmas, looking at the occasional video or blog, not doing much with myself. My schedule was relatively free, I had a lot of spare time, but I was wasting it. I thought of all the weird and wonderful thoughts that flew across my brain, all the ideas that would spring and fountain of their own accord, all of the things that I thought were interesting, amazing or just downright wonderful about our little mental, spinning ball of rock and water and its strange, pink, fleshy inhabitants that I never got to share. Worse, I never got to put them down anywhere, so after time all these thoughts would die in some forgotten corner of my brain, and the potential they had to remind me of themselves was lost. Once again, I was struck by a sense of waste, but also of resolve; I could try to remedy this situation. So, I opened up WordPress, I filled out a few boxes, and I had my own little blog. My fingers hovered over the keyboard, before falling to the keys. I began to write a little introduction to myself.

Today, the role of my little corner of the interwebs has changed somewhat. Once, I would post poetry, lists, depressed trains of thought and last year’s ’round robin letter of Planet Earth’, which I still regard as one of the best concepts I ever put onto the net (although I don’t think I’ll do one this year- not as much major stuff has hit the news). Somewhere along the line, I realised that essays were more my kind of thing, so I’ve (mainly) stuck to them since; I enjoy the occasional foray into something else, but I find that I can’t produce as much regular stuff this was as otherwise. In any case, the essays have been good for me; I can type, research and get work done so much faster now, and it has paid dividends to my work rate and analytical ability in other fields. I have also found that in my efforts to add evidence to my comments, I end up doing a surprising amount of research that turns an exercise in writing down what I know into one of increasing the kind of stuff I know, learning all sorts of new and random stuff to pack into my brain. I have also violated my own rules about giving my Views on a couple of occasions (although I would hope that I haven’t been too obnoxious about it when I have), but broadly speaking the role of my blog has stayed true to those goals stated in my very first post; to be a place free from rants, to be somewhere to have a bit of a laugh and to be somewhere to rescue unwary travellers dredging the backwaters of the internet who might like what they’ve stumbled upon. But, really, this little blog is like a diary for me; a place that I don’t publicise on my Facebook feed, that I link to only rarely, and that I keep going because I find it comforting. It’s a place where there’s nobody to judge me, a place to house my mind and extend my memory. It’s stressful organising my posting time and coming up with ideas, but whilst blogging, the rest of the world can wait for a bit. It’s a calming place, a nice place, and over the last year it has changed me.

A year is a long time.

Today

Today, as very few of you will I’m sure be aware (hey, I wasn’t until a few minutes ago) is World Mental Health Day. I have touched on my own personal experiences of mental health problems before, having spent the last few years suffering from depression, but I feel today is a suitably appropriate time to bring it up again, because this is an issue that, in the modern world, cannot be talked about enough.

Y’see, conservative estimates claim at least 1 in 4 of us will suffer from a mental health problem at some point in our lives, be it a relatively temporary one such as post-natal depression or a lifelong battle with the likes of manic depressive disorder or schizophrenia. Mental health is also in the top five biggest killers in the developed world, through a mixture of suicide, drug usage, self-harming or self-negligence, and as such there is next to zero chance that you will go through your life without somebody you know very closely suffering or even dying as a result of what’s going on in their upstairs. If mental health disorders were a disease in the traditional sense, this would be labelled a red alert, emergency level pandemic.

However, despite the prevalence and danger associated with mental health, the majority of sufferers do so in silence. Some have argued that the two correlate due to the mindset of sufferers, but this claim does not change the fact 9 out of 10 people suffering from a mental health problem say that they feel a degree of social stigma and discrimination against their disability (and yes that description is appropriate; a damaged mind is surely just as debilitating, if not more so, than a damaged body), and this prevents them from coming out to their friends about their suffering.

The reason for this is an all too human one; we humans rely heavily, perhaps more so than any other species, on our sense of sight to formulate our mental picture of the world around us, from the obviously there to the unsaid subtext. We are, therefore, easily able to identify with and relate to physical injuries and obvious behaviours that suggest something is ‘broken’ with another’s body and general being, and that they are injured or disabled is clear to us. However, a mental problem is confined to the unseen recesses of our brain, hiding away from the physical world and making it hard for us to identify with as a problem. We may see people acting down a lot, hanging their head and giving other hints through their body language that something’s up, but everybody looks that way from time to time and it is generally considered a regrettable but normal part of being human. If we see someone acting like that every day, our sympathy for what we perceive as a short-term issue may often turn into annoyance that people aren’t resolving it, creating a sense that they are in the wrong for being so unhappy the whole time and not taking a positive outlook on life.

Then we must also consider the fact that mental health problems tend to place a lot of emphasis on the self, rather than one’s surroundings. With a physical disability, such as a broken leg, the source of our problems, and our worry, is centred on the physical world around us; how can I get up that flight of stairs, will I be able to keep up with everyone, what if I slip or get knocked over, and so on. However, when one suffers from depression, anxiety or whatever, the source of our worry is generally to do with our own personal failings or problems, and less on the world around us. We might continually beat ourselves up over the most microscopic of failings and tell ourselves that we’re not good enough, or be filled by an overbearing, unidentifiable sense of dread that we can only identify as emanating from within ourselves. Thus, when suffering from mental issues we tend to focus our attention inwards, creating a barrier between our suffering and the outside world and making it hard to break through the wall and let others know of our suffering.

All this creates an environment surrounding mental health that it is a subject not to be broached in general conversation, that it just doesn’t get talked about; not so much because it is a taboo of any kind but more due to a sense that it will not fit into the real world that well. This is even a problem in the environment of counselling  specifically designed to try and address such issues, as people are naturally reluctant to let it out or even to ‘give in’ and admit there is something wrong. Many people who take a break from counselling, me included, confident that we’ve come a long way towards solving our various issues, are for this reason resistive to the idea of going back if things take a turn for the worse again.

And it’s not as simple as making people go to counselling either, because quite frequently that’s not the answer. For some people, they go to the wrong place and find their counsellor is not good at relating to and helping them; others may need medication or some such rather than words to get them through the worst times, and for others counselling just plain doesn’t work. But this does not detract from the fact that no mental health condition in no person, however serious, is so bad as to be untreatable, and the best treatment I’ve ever found for my depression has been those moments when people are just nice to me, and make me feel like I belong.

This then, is the two-part message of today, of World Mental Health Day, and of every day and every person across the world; if you have a mental health problem, talk. Get it out there, let people know. Tell your friends, tell your family, find a therapist and tell them, but break the walls of your own mental imprisonment and let the message out. This is not something that should be forever bottled up inside us.

And for the rest of you, those of us who do not suffer or are not at the moment, your task is perhaps even more important; be there. Be prepared to hear that someone has a mental health problem, be ready to offer them support, a shoulder to lean on, but most importantly, just be a nice human being. Share a little love wherever and to whoever you can, and help to make the world a better place for every silent sufferer out there.