Appearing Offline on MSN/Windows Live Messenger: Game Theory Analysis

Peek-a-boo!
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A few years ago, Microsoft introduced the ability to “hide” on Appear Offline on MSN Messenger and to keep talking to people. This is quite a useful feature for the anti-social types who really don’t want anybody to talk to them!

I’ve noticed some interesting trends since this feature has been introduced. The people who used to have their status stuck on “away” now use appear offline. This is perhaps frustrating when you then end up calling or texting at extortionate rates your friend instead whilst you’re actually both sitting at your computer!

The reason why people use “appear offline” is so they can be selective about who they talk to. Fair enough. But when other people also use “appear offline”, it doesn’t work. This could be illustrated using a bit of game theory.

Appear Offline

Initially, lets say that both persons A and B gain 2 units of utility from being online in MSN Messenger. This utility could be in many forms: pleasure gained from sharing gossip, money saved in not having to text or time saved. The exact form of the utility isn’t important.

Let’s go into hiding… 

grandmaster FLAX ~ II
Creative Commons License photo: striatic

Now lets say Person A decides to “Appear Offline” but Person B is still “Online”. Person A will only talk to Person B when it is beneficial to him. Person A will still gossip with Person B but only in times convenient to himself and when he’s stuck on his particle physics essay, he can still see when Person B is online and get help from him. For this reason, Person A’s utility increases from 2 to 3.

But Person B won’t derive any utility. When he needs somebody to talk to, or has run into a brick wall upgrading to Service Pack 3, he won’t be able to get through to Person A on MSN Messenger. Instead, he might end up calling or find a more sociable person to talk to! Hence Person B derives no utility from this arrangement.

Notice that the payoffs are symmetrical. If Person B decides to “Appear Offline” but Person A doesn’t, Person B will gain 3 units of utility whilst Person A will gain nil.

The fourth possible situation is when both Persons A and B decide to “Appear Offline”. Neither persons derives any utility from this arrangement as they’ll never talk to each another. They might as well actually be offline.

The best arrangement 

Holy Rollers
Creative Commons License photo: J. Random

As we can see, in this analysis the best possible outcome is that both persons A and B are online. They both derive 2 units of utility from this arrangement and 4 units of utility are gained in total.

Person A or person B could seek to increase the utility they gain by appearing offline. This increases their own utility to 3 units. Would they do this in reality? Rationally, probably yes.

If person A decided to stay “online”, person B would gain 2 units of utility from staying online and 3 units from appearing offline. So in this situation, person B should appear offline to maximise their own payoff.

If person A decided to “appear offline”, person B gains no utility either way. So it really doesn’t matter whether person B stays online or appears offline. But they don’t lose any utility by appearing offline.

By considering all the possible outcomes, person B will rationally choose to appear offline to maximise their payoff. As the situation is symmetrical, person A should also rationally choose to appear offline. The outcome? Both persons A and B “appear offline” and nobody gains any utility.

Back to the real world…

In this discussion and game theory model, I’ve abstracted from reality. Of course, it isn’t true that everybody on MSN Messenger appears offline these days. But I will say that amongst my contact list, I know quite a few people do and it has lead to some annoying situations. I’m even guilty of “appearing offline” on many occasions without realising the person I want to talk to is also appearing offline and waiting for me to come online.

Patterns of Growth in Cities

Go
Creative Commons License photo: dlemieux

New Scientist (subscription required) had a really interesting article this week about how crime in cities can be modelled and predicted through some parameters such as how “connected” a road is and it’s proximity to bars and fast food restaurants.

There was also an aside about some economies of scale and increasing returns to scale found in cities.

Quantities related to physical infrastructure, such as the total length of pipes carrying water, seem to grow in proportion to the city population N raised to the power , with equal to 0.8. This implies that these quantities grow less quickly than the population, as cities benefit from certain economies of scale. Meanwhile, quantities related to social or economic development, such as the number of investors, total economic output or overall crime, all grow slightly faster than population, with equal to 1.15, suggesting that cities also realise certain increasing returns associated with social interaction.

You can read the full paper at the PNAS website. It’s interesting to look at the full table of exponents. Things such as R&D and patents increasing faster than population are economies of scale and reasons why it’s great to live in a city. They also save on some resources as we see that the number of roads and gas stations increase slower than population. But it’s worth highlighting that crime and AIDS cases increase faster than population – obviously negative side-effects of living in cities. I don’t know why I find this stuff interesting. Perhaps it really is interesting, or it’s just the economist in me.

Exponents of Cities

Improving Energy Efficiency: Can it really save the world?

It’s Earth Day today. This is a day to raise awareness about the environment and issues such as climate change and resource depletion. But I’d like to raise something which is often overlooked though, to do with the economics of climate change. But can we really cut our energy usage by switching to more efficient appliances?

Let’s take energy-saving light bulbs as an example. An standard 100W incandescent light bulb is exceptionally inefficient – it produces about 95% heat, only 5% of that energy is turned into visible and useful light. However, new energy-saving fluorescent light sources can produce the same amount of light for just 20W.

OK, so there are considerations such as the amount of energy which used in manufacturing new fluorescent light bulbs for us to use or the costs of installing additional insulation to reduce heat loss because less heat is now produced by light bulbs. Although they are very valid points, they’re not the issues I wish to explore.

On the face of it, if we all switched from 100W incandescents to 20W fluorescents, there would be a 80% drop in the energy consumption! Hey, presto! But that isn’t the whole story. Because economics tells us that when the price of something falls, consumption increases. In other words, because our lighting systems now consume less energy and cost less to run, people will demand more lighting systems.

Take a look at this graph from the presentation “Energy Services and Energy History: Lighting and Transport in the UK” (slide 11).

Price of Lighting

The cost of lighting (and efficiency) has been falling steadily since 1300, yet it is obvious that we are using much more lighting now as costs have been falling. Since 1900, the efficiency of lighting improved 50 times. Meanwhile, the amount of lighting used has increased by 155 times. So despite all the huge efficiency improvements over the last 100 years, we’re still using 3x as much as energy as we were before.

What I hope this has demonstrated is that improving energy efficiency won’t necessarily decrease energy usage. But would switching to more energy-efficient bulbs cut energy usage in our developed world today? Perhaps. For me, the cost of leaving the light bulb on is so small that I barely even think about it. So a light bulb which costs less to leave on probably won’t cause me to leave the light on for any longer then I currently do. But in some countries, if the price of leaving the light bulb on is now a fifth, I could envisage households which might decide that rather than just having one light bulb in the lounge on, they could now install a light bulb in every room in the house. This increased usage of lighting would negate any of the benefits of improved energy efficiency.

It might all seem a bit pointless talking about light bulbs, but I chose it as an example because it’s easy to explain and there’s a lot of good data. But this same theory can apply to all kinds of other things.

Let’s say that a new generation of cars has twice the fuel efficiency. This means the cost of running the car is half what it was before. More people will therefore decide to use cars, and perhaps to use cars on those short journeys they wouldn’t have before. Also in the less economically developed countries, this could make running a car a viable proposition for many people.

My conclusion is that we can’t rely on improvements in efficiency to reduce our energy usage. It simply won’t work. In fact, it could even lead to increased energy usage and make things worse. That’s not to say we shouldn’t create efficient light bulbs and cars but they’re not going to save the environment. We need more proactive ways of dealing with our use of fossil fuels.

Unexpected Consequences

There’s an article in this week’s New Scientist (12th April 2008, p17) by William Laurance from the Smithsonian Tropical Research Institute entitled “Expect the unexpected” which I thought was really interesting. He talks about some of the unexpected ways in which we’re damaging the planet.

Take biofuels. Many countries, including the USA, have promoted biofuels as alternatives to using fossil fuels. Why? Because when you grow corn, the plant will “breathe in” carbon dioxide. When you put it into your car and burn it, it’ll release an equal amount of CO2. So biofuels are supposed to be carbon neutral and won’t contribute to climate change.

In order to encourage people to use biofuels, governments have subsidised them. In essence, they tell farmers that they’ll give them an additional amount of money for every gallon of biofuel they produce, on top of the amount of money they sell it for. This encourages farmers to produce biofuel because they can earn more money from it: basic economics.

So what’s been the effect of this? Well, US farmers have switched from growing soya to growing corn. This made soya more scarce and drove up the price of soya across the world. The higher soya prices then acts as an incentive to others to produce soya; you can now make more money by selling soya.

That’s lead to deforestation in the Amazon in order to clear the way for soya production. And the deforestation has lead to forest fires.

In the Amazon, the trees help to generate their own rainfall. Why? Rain falls and the dense vegetation quickly recycles the moisture, returning it to the atmosphere so it’ll rain again. As deforestation continues, less water vapour is recycled. That means less rain in the future: a feedback loop.

Anyway, I won’t repeat the entire contents of the article as Laurance gives many other examples of unexpected consequences of rising demand for wooden furniture, logging and fishing.

It does really make you think about how everything in the world can be linked together in so many ways and all impact upon each another. In some of my own physics research, I found that an increase in global temperature would lead to a greater occurrence of lightning. Effects of lightning? Forest fires may be created and nitric oxides are produced. A significant number of forest fires could reduce CO2 absorption. Nitric oxides are fertilisers: could this lead to better forest growth? Nitric oxides also lead to the production of ozone in the atmosphere which is a greenhouse gas. More greenhouse gases = further global warming. Did anybody expect that?

The fact is there are just so many different interlinked processes going on in the world around us. It reminds me slightly of James Lovelock’s Gaia Hypothesis:

The Gaia hypothesis is an ecological hypothesis that proposes that living and nonliving parts of the earth are a complex interacting system that can be thought of as a single organism. Named after the Greek earth goddess, this hypothesis postulates that all living things have a regulatory effect on the Earth’s environment that promotes life overall.

It’s a controversial theory. Says Lovelock on climate change:

He says the global climate treaty, the Kyoto Protocol, is simply an attempt to appease a self-regulating Earth system.

Professor Lovelock thinks the Earth’s attempts to restore its equilibrium may eliminate civilisation and most humans.

He wants a rapid end to the destruction of natural habitats, which he says are key to planetary climate and chemistry.

Familiarity with currency and it's percieved value

It seems like people’s perceived value of currency is not just dependent on the number on the coin or it’s actual value but also their familiarity with that currency.

For the first part of their study Dr Alter and Dr Oppenheimer picked 37 “volunteers” at random from the university’s canteen. They asked them to estimate how many simple objects—gumballs, paperclips and pencils—they could purchase with either a standard dollar bill or a Susan B. Anthony dollar coin that was presented to them. Susan B. Anthony dollars are legal tender but, having been produced only from 1979-81 and then again in 1999, they are rarely seen in circulation.

People offered the banknote believed, on average, that they could use it to buy 83 paperclips, 72 napkins or 46 sweets. Those offered the coin thought 39 paperclips, 51 napkins or 27 sweets. In other words, the note was believed to be almost twice as valuable as the coin.

This is a really interesting psychological observation. We often associate “sentimental” value with items: for example I value my iPod much more than an identical iPod that you had with the same specifications and songs. I wonder if it’s the same reason why we believe the currency we’re familiar with is also worth more to us.

When the Euro was introduced in 2002, there were also big increases in prices as companies converted their prices to Euros and then rounded up. People didn’t really notice; they weren’t familiar with the new currency.

The UK is introducing a new set of coins later this year, for the first time in 40 years. The study implies that people will happily pay more using the new coins than the old coins for the same product. Maybe Mr Darling and Mr Brown should be keeping their eye on the Retail Price Index this year.

New UK Coin Designs

The BBC has images of the new coins which will be released in the UK in this summer.

My thoughts: the coins somehow manage to feature the royal coat of arms yet still looks modern. Simply stunning. How each coin contains only a small part of the arms: they need to be put together in a certain way to build up the full coat of arms. It’s really clever, I think coin collectors across the world will love this. The coins do look a little strange on their own being so asymmetrical.

The chief executive of the Royal Mint said: “It is the only work of art that every member of the general public touches every day, that is important to the nation’s way of life. I think there will be quite a bit of controversy over these coins but I personally can’t wait to get my hands on one!

Using more than 10 2p coins not legal tender?

I was researching international trade on Wikipedia for a essay assignment when I went slightly off topic and landed on the article for Pounds Sterling. If you want to find out all about the history of sterling that’s where to look.

Anyway, this section on legal tender really surprised me. “When settling a restaurant bill after consuming the meal, or other debt the laws of legal tender do apply”

The article then goes on to give a maximum usable legal tender for each of the coins:

Coin Maximum usable as legal tender
£5 (post-1990 crown) unlimited
£2 unlimited
£1 unlimited
50p £10
25p (pre-1990 crown) £10
20p £10
10p £5
5p £5
2p 20p
1p 20p

Now I’m not a lawyer but as I understand it, that means using eleven 2p coins at once (a total of 22p) is not legal tender (For US visitors the exchange rate is 1 british pence = 2 american cents).

Of course, we tend not to even bother using 1ps and 2ps these days: it is barely even worth collecting the obligatory pennys change from every transaction. But it is interesting that coins have a maximum legal tender.

It confuses me why the US keeps using dollar bills: the smallest value note used in the UK is worth £5 (10 US dollars). And even the £5 note isn’t dispensed by cash machines any more and is rarely used. Perhaps it’s time we switched to using a £5 coin and scraped the 1p and the 2p. Or the Monster Raving Loony Party suggested the 99p coin as a way to get around the problem of penny changes.

Iraq War: $25,000 per US household

The Economist reports on a study by two economists on the costs of the Iraq War for American households. The study wasn’t simply a look through the government balance books to look for direct financial costs: it also looked at the knock-on impact on oil prices, number of deaths or injuries caused (and perhaps controversially putting a financial value on these lives), bonuses paid to recruits who were put off by the war and also the opportunity cost (see my previous post on cost-benefit analysis).

The opportunity cost is the benefits to the USA which would have been gained if it didn’t go to war in Iraq: for example the money which went to the war might have funded better education or healthcare insurance.

The study was carried out by Joseph Stiglitz, a Nobel prize-winner in economics and Linda Bilmes, budget and public finance expert from Harvard. They found the total costs were $3 trillion. The Economist asks:

SUPPOSE that, five years ago, George Bush had asked every American household to stump up $25,000 to pay for an imminent war on Iraq. How would they have responded?

Of course, this study doesn’t conclude that the Iraq War was a bad idea. To weigh that up, you need to look at the benefits which were gained. We now know Saddam doesn’t have weapons of mass destruction. Is that knowledge worth $3 trillion?

What I really want to get across is this: economics and cost-benefit analysis offers a much better way of analysing whether government policies have been successful. It’s great to have an opinion based on what is published in the media but things are not always as they seem. Cost-benefit analysis offers a logical method to evaluate the consequences of a policy.

Interest Rates

The US Federal Reserve reduced base interest rates from 3% to 2.25%. Inflation last year in the USA was 4.1%. If you placed money in a savings account at 2.25%, you would actually lose 1.85% of it’s value in 1 year. Not really “savings”. According to The Economist, if you use GDP per head (a more accurate indicator of standard of living), the USA has actually been in recession since Q4 2007 with quality of life falling by 0.4%/year. Just something to think about.

Globalisation of Football

The British tabloid, Daily Mail, earlier this week published an opinion piece talking about the commercialisation and globalisation of football. The article highlights the performance of British clubs in the UEFA Champions League:

You may not have noticed, or even care, that out of the eight clubs that have just made it into the last round of the European Champions League, four are English.

That may not sound like a big deal.

But if one considers that clubs from dozens of European countries are eligible, and that these countries collectively speak for hundreds of millions of people, it is interesting that half of the finalists should come from a single country – England – with a population of only 50 million.

Germany has one team out of the eight, Spain another. Italy and Turkey account for the other two. (France, note, has none.)

It then goes on to talk about how football in Britain has been transformed in the last 25 years with higher attendances; racism has been stamped out; stadia are now state-of-the-art.

If that’s not enough evidence of the commercial nature of football, England’s failure to qualify for Euro 2008 is believed to cost the British economy £1billion.

My interest in football is only really a passing one but what I found really interesting was how this article looked at football from an economics viewpoint and then argues for protectionist policies.

To take some of the Daily Mail’s articles in turn:

Protectionism – Protecting British footballers 

In the same year that four “English” teams have made it into the last eight of the Champions League, England’s national team has failed to qualify for this summer’s European Cup.

The article argues that because so many foreign players are playing in British sides, British players never get the opportunity to reach the top flight. This is a parallel argument to trade barriers in international trade. Some countries argue that if they import lots of food from abroad cheaply, domestic farmers will never be able to develop and would have to shut up shop.

According to economics, protectionism is a very bad thing. Let’s take tea: in Britain we import our tea from countries such as India. Why? Because they’re better at producing tea. They can produce more tea, and sell it for less. We could impose some trade barriers and encourage British tea growers. But our climate and weather just don’t suit growing tea. So we use greenhouses and contribute to climate change and our tea costs more to produce. Or alternatively, we could stick to producing something that we’re good at (e.g. financial services). If we trade our financial services for tea from India, then both countries benefit.

Bringing this all back to football, does foreign players playing in British clubs really damage the chances of British footballers? I don’t think so. Football brings a lot of money into Britain; money which then goes towards academies and training for youngsters. A substantial number of young people in Britain do play football in their school breaks.

A loss of national identity

And yet this loss of local or even national identity in the Premier League is an extreme version of what has happened in our country. Mass immigration is justified on the grounds of greater economic efficiency. One consequence, though, is the weakening of a sense of belonging.

An interesting way of arguing against immigration, a favourite topic of the Daily Mail. But of course immigration has brought huge benefits for Britain. Migration-friendly policies mean that companies situating in the UK have access to the best workers from all across the world. These companies and workers contribute to the economy through taxation as well as greater efficiency.

Of course, there has been a homogenisation of city centres across the world. You’ll find a McDonalds in almost every large city across the world. But what is happening is that we’re all gaining from being able to experience more cultures. Visiting a typical city centre, you might have a choice of Japanese sushi, Italian pizza or American hamburgers. Are we really losing our identity or are we just benefiting from access to more?

The free movement of labour has also done wonders to for tackling world hunger and poverty. We might have nurses come to Britain from poor African countries; they earn money here and send it back home. They may, at a later date, take those skills home. Indeed, it is believed that globalisation and trade has done more for the third world than handouts ever have.

Similarly in football: who’d have expected some of the poorer third-world countries to participate in the World Cup? Skilled footballers playing for British clubs gain experience; this benefits their national side in the World Cup.

Globalisation is a win-win situation. It makes no sense to argue for protectionism: everybody loses out. That applies both to international trade and to football.