Showing posts with label Opportunity Cost. Show all posts
Showing posts with label Opportunity Cost. Show all posts

Thursday, September 23, 2010

Everything Has a Cost

Shield #3 by Jonathan Hickman and Dustin Weaver, Marvel Comics (2010)

Galileo knew it. Newton knew it. But poor Nostradamus apparently doesn't get the idea.

Or he just figures the cost is worth it.

Wednesday, February 3, 2010

Is Batman's Lifestyle Too Unrealistic?

Art by Jim Lee

OK, so we all know that certain elements of the Batman mythos are pretty hard to swallow. Imagining that one human being can spend his entire life training for the fulfillment of one, sole purpose is hard enough, but doable. Yet Batman also has to balance spending each and every night patrolling the streets of Gotham City as a caped crusader, while spending his days managing a business, training, research, and maintaining a personal life to keep up the appearance of a dimwitted billionaire playboy. Not to mention that Batman must be the luckiest human in the world considering all the stray bullets that conveniently miss his face. This stuff requires some suspension of disbelief on the part of the reader.

However, yesterday the Escapist Magazine published an article entitled "Batmanalyzed," which pointed out some other oddities and inconsistencies of Batman's lifestyle that people don't seem to talk about too much. The ideas raised in the article are interesting (although I don't agree with all of them) and actually have a fair bit of economics to them. They are also very funny. I do want to highlight my views on some of the author's particular points.

1) Projecting the appearance of the "society airhead" actually may require a bit more work than we imagine:

At these parties, Bruce makes empty-headed gossip until he's convinced everyone he's an idiot. How does he come up with this chatter? Obviously, he has to study it. Though we're never shown this, he must have a clipping service prepare dossiers of pop-culture events, which he skims in the limo as Alfred drives him to the party. The Darknight Detective, as part of his holy war against Gotham's underworld, reads all about society debs and Jay Leno and American Idol. His bat-computer tracks Brad Pitt and Angelina Jolie. Batman, sitting in the Batcave, diligently memorizing this month's Playboy Party Jokes - you don't want to picture that, do you?

This is a great example of opportunity costs. If Batman is going to spend a few hours every night working on his social life, then indeed he does have to be kept abreast of the latest in pop culture news. Not only that, but Bruce does not always hang around fashion models and movie stars. He is a billionaire playboy, sure, but he is also something of a "sophisticate." He sometimes spends his nights with prominent political figures and businessmen. This would suggest that he would also need to read up on the latest political and economic news (at least to a superficial extent--enough to make conversation).

As Varney points out, all of this is more difficult than it seems. Staying on top of this requires at least some time spent each day (maybe as little as half an hour to one hour a day) listening to or reading entertainment news. And this is just the minimum. As we know from our lessons in opportunity cost, this is valuable time that Batman could be spending doing other things, be it actually catching street-level criminals or researching a pending case. This time adds up to many foregone criminals put in jail.

Nevertheless, we know that it's important for Batman to keep up appearances. We just never really think of what it costs.

2) Batman's ability to consistently resist satisfying his sexual urges stretches our ability to suspend our disbelief:

Bruce Wayne's social life is a continual exercise in seduction, arousal and dismissal. He charms a sexy woman into going home with him, hugs and caresses her publicly. She's agog, about to spend the night with a handsome billionaire ... then bam! Out on the sidewalk, see you later. This is Bruce's most common interaction with women. Creepy.

[...]

What's creepy is a healthy, athletic heterosexual man who persuades entire job-lots of Gotham City's most desirable women to fall on their back, then walks away, repeatedly, unconsummated. It explains how he sustains the rage to keep beating up muggers.

This seems to me like a strange argument to make. First, it makes the assumption that Bruce Wayne is an ordinary heterosexual man who has ordinary, heterosexual desires. However, we know that Bruce is very far from ordinary. In fact, there are people who describe themselves as being completely nonsexual or having never in their adult lives been sexually attracted to anyone. One study revealed that this happens in about 1% of adults.

Now, I don't actually think this is the case with Batman. We know that Batman has some sexual attractions. There is plenty of evidence to suggest that he is or has been physically attracted to both Catwoman and Talia al Ghul among others. Hell, he has a son with one of them. What seems to be the case is that Bruce, given what we know about his personality and history, is probably just completely unattracted to the shallow personality types that he hangs with while assuming his invented personality. To me, this is a totally reasonable assumption.

But let's say that Bruce is physically attracted to these socialites he sees every night. Is it really so odd to assume that he would be able to resist them? In fact, Bruce spent the majority of his life training to resist these very urges and to focus his mind on his mission. This is something that priests do all the time. One might of course argue priests are not presented with as much temptation as Bruce is, but then you could also argue that Bruce's training far exceeds that of an ordinary priest.

To doubt that Bruce would be able to resist these urges is then to doubt either the legitimacy of his training or his will and determination, which means his entire mythology falls apart. I think if you're going to suspend your disbelief about some aspects of Bruce's life, then you should easily be able to with this one.

3) Batman's criminal focus may be a bit misguided.

The unthinkable thought, though - the damning observation - is his choice of targets. When he's not foiling some super-villain's plot to turn everyone in Gotham bright blue, Batman fights muggers, hit men, drug gangs - minor-league hoods all - and the occasional crimelord. This is small-scale retail crimefighting, penny-ante stuff. Why no Wall Street derivatives traders? Directors of tobacco companies? Corrupt Treasury officials? Fraudulent researchers for Big Pharma or the chemicals industry? These individuals create misery on a scale the Joker has never imagined.

Two things here. One is that I'm not entirely sure this claim is true. Batman has fought corrupt business types before. Although it may not always be as Batman. For example, the Tim Burton film, Batman Returns, shows Bruce Wayne desperately trying to prevent the tycoon, Max Shreck, from building an additional power plant that Bruce, correctly, suspects would actually drain the city's power and make a huge profit for the Shreck business. In Batman Beyond, an elderly Bruce Wayne fights tooth and nail to stop corrupt businessman Derek Powers from using his company to manufacture and sell weapons.
In Batman: Year One by Frank Miller, Batman goes after the organized crime families for sure, but he also makes attempts to deter the corrupt businessmen, police and law officials that take kickbacks and (directly or indirectly) support these families.

Of course, we know that Batman doesn't go after these guys all the time. The Escapist is correct in making the observation that when not fighting violent supervillains, Batman spends a majority of his time taking out street thugs and ordinary criminals. Why does he do this instead of spending more time going after all the aforementioned business-type crooks?

The most obvious reason is that catching crooks on the street requires much smaller operating costs and has a considerably higher probability of success. We all know how easy it is for Batman to catch these guys. He swoops in, neutralizes them, bags them, and drops them for Commissioner Gordon to process and try. Crime stopped, lives saved, case closed. To go after major organizations and complicated operations would require much more preparation, more work, and may not even succeed. Batman first has to discover that there's even been a crime committed, which is much harder to do with a Big Pharma company than it is by simply observing a mugger on the street.

The other reason is that Batman is not exactly a utilitarian. The author argues that these business-type crimes cause much more damage to Gotham City than a low-class hood. True. But I don't think that Batman cares about the magnitude of damage as much as the immediacy of it. He sees crime, he knows it's wrong, and he vows to stop it. This goes back to opportunity costs. If Batman spends time researching these corporate crimes, that means that a bunch of people get mugged or killed on the street while he is conducting that research. Batman's moral code just cannot allow for that to happen. Yes, if Batman got wind of the fact that the Joker was about to blow up the entire city, he would attempt to stop it over stopping a mugger. Yes, if Two-Face just got released from Arkham, he would spend a little time eyeballing him. Similarly, if Batman had reason to suspect that some illicit Wall Street act was about to cause the death of many people, you can bet he'd be on it like annoying on Mxyzptlk. But if Batman were a true utilitarian seeking only the maximal rewards for his city, he would have killed the Joker a long time ago thereby saving the city the cost of thousands of lives.


Batman is a complicated man. And no one understands him but his woman writers.

Tuesday, December 8, 2009

Ecocomics Explains: Opportunity Cost

reprinted from gettyimages.com

Ecocomics Explains is a new recurring feature of this blog. Each week, we will discuss a different economics concept--ranging from more basic ones to more advanced and mathematically involved ones--and highlight some examples from comic books that reflect the idea
s. We will also include a rating system in each post to show the difficulty level of the concepts. 1 Greenspan refers to a very basic concept, 2 Greenspans refers to a more intermediate concept and 3 Greenspans refers to an advanced concept.

(1 Greenspan)




Opportunity cost
is a fairly basic economics concept. Anyone who has taken any introductory microeconomics course certainly knows about it. It is usually one of the first topics introduced in class. You're probably familiar with a number of classic examples, such as having a choice between hamburgers and pizza or guns and butter. Those of you who have never taken economics before are still likely familiar with the intuition behind it, but maybe not know the terminology.

Opportunity cost stems from the fact that resources are scarce. In fact, the entire field of economics is basically the study of how individuals and societies allocate scarce resources. When a society chooses to place greater emphasis on the production of one good, then production of another good necessarily has to decrease. Similarly, consumers who have a fixed income have to make choices between which goods to buy. Purchasing more of one means purchasing less of another. The opportunity cost of a good, then, is what an individual, firm or society gives up in order to have one particular good. It is the value of the highest valued foregone alternative (this is the definition used in the third edition of Microeconomics Michael L. Katz).

This doesn't just apply to production and consumption of goods, however. It embodies the idea of tradeoffs, which is something that we all experience on a daily basis. And it happens in comic books all the time too!

To see how this works, let's consider the case of Spider-Man. Spidey is a fascinating study because basically the entire point of his ongoing series is to highlight his struggle to maintain a balance between his personal life and his obligations as a superhero. Every day for Spider-Man is an exercise in opportunity costs.

The Amazing Spider Man #600 by Dan Slott and John Romita Jr. (2009)

See here how Peter Parker is making a choice between earning some more money to support his crime-fighting double life and attending Aunt May's rehearsal dinner (she was recently married to J. Jonah Jameson senior). Let's look at this example in a bit more detail, but spice it up a bit. Suppose that Peter has 60 minutes (1 hour) of free time. In that free time, he can either go out and fight some thugs on the street or he can choose to attend Aunt May's rehearsal dinner and spend time with his family. Also, let's say that it takes Spider-Man 12 minutes to take down an ordinary street thug and that it takes 6 minutes with his family to earn him a "brownie point." This means that Spider-Man has a production equation of the form:

12x + 6y = 60

where x is the number of criminals Spider-Man takes down and y is the number of brownie points he earns at the May residence. Given this equation, if Spidey decides to take down 3 thugs (x=3), then we have:

12(3) + 6y = 60
36 + 6y = 60
6y = 24
y = 4

Thus, if Spider-Man spent his hour taking down 3 thugs, he could have also had the time to earn 4 brownie points.

This can be represented graphically as follows:

Note: Not Drawn to Scale. Not drawn particularly well either. By now you've noticed, I prefer drawing my graphs in MS Paint. Lost art, really.

In the graph above, line "l" represents Spider-Man's "budget constraint." This is just a visual representation of the bundles of goods that our webcrawler can "afford" with his given "income." In this case, income refers to Spider-Man's allotted time schedule, the goods are brownie points and criminals put in jail, and costs refers to time in minutes. Any point on the graph beneath line "l" is in Spider-Man's "feasible set." This is the set of all combinations of criminals and brownie points that Spider-Man can possibly afford in his hour of free time. Any point that is in the pink shaded area of the graph is feasible.

Take our example above. If Spider-Man chooses to fight 3 thugs, which would take 36 minutes, he could then only earn 4 brownie points. This is reflected as point A on the graph. Notice that point A is exactly on the budget line. Hence, Spider-Man is using all of his time towards one of the two goods. This is an efficient use of his time. Suppose instead that Spider-Man decided to fight 2 criminals and earn 3 brownie points (point B of the graph). In minutes, the bundle would cost:

12(2) + 6(3) = 24 + 18 = 42 minutes.

Point B, although being in the feasible set, is not efficient. The reason is that Spider-Man is only using 42 minutes of his time, which means he has 18 minutes left over that are not being devoted to one of the two goods that exists in this universe. With that 18 minutes, he could be fighting more criminals or earning more brownie points. But he isn't.

Now consider point C of the graph. At this point, Spider-Man fights 4 thugs and earns 5 brownie points. In minutes, this bundle would cost:

12(4) + 6(5) = 48 + 30 = 78 minutes.

Obviously, Spider-Man only has 60 minutes and therefore cannot purchase this bundle of goods. Point C is therefore not feasible.

If Spidey chose not to attend Aunt May's dinner at all, but instead to spend the entire hour fighting crime, he would be able to bring down a maximum of 5 street thugs in the 60 minutes. If he chose to sacrifice his hero duties for an hour and spend its entirety with the family, he would be able to earn a maximum of 10 brownie points. These points are the x and y intercepts of the graph and are the endpoints of the budget constraint.

So, where is Spider-Man's opportunity cost in this graph? It's actually the slope of the budget line! Notice that the slope is -2. This represents the opportunity cost of one good in terms of the other. So, the opportunity cost of one criminal is 2 brownie points. To put one more criminal to justice, Spider-Man would have to sacrifice 2 brownie points that he would have otherwise gained by being with his family. Conversely, to gain two more brownie points, Spider-Man would have to sacrifice fighting 1 criminal.

Those are the basics of opportunity cost in a nutshell. I even threw in a little bit of linear budget constraints. Once we discuss utility maximization, we can bring in other factors. For example, we all know that Spider-Man suffers from immense guilt over the death of Uncle Ben and would likely derive more utility from fighting a criminal than maintaining his personal life. We can factor all (or most) of this in to an optimization problem. But this is a post for another time.

Tuesday, November 24, 2009

The Costs of Secret Identities

Amazing Spider-Man #610 by Marc Guggenheim, Marco Checchetto, Luke Ross and Rick Magyar (2009)

I think Spidey might be underestimating here. I'm no expert in the cost of drywall, but my feeling is that Aunt May's house isn't really that small and this explosion looks like it took out more than just the living room. Not to mention the damage to other household items, glass (Screwball crashed in through the window), ceiling, etc. I would guess that drywall itself would cost anywhere from $6,000 - $8,000. But this is admittedly an unscientific prediction.

It looks like Spider-Man would make a good spokesperson for a Mastercard commercial (that is, in addition to being a good spokesperson for health care reform). Though, I highly doubt that his secret identity is priceless. However, we do learn something valuable from this panel. Since Spidey is giving up the $3,000 for the drywall and the $8,000 for the costs of labor in order to maintain his secret identity, we know that his secret identity is worth at least $11,000 to him. But is there an upper bound to this cost or would Spider-Man really be willing to give up any amount in order to keep his secret?

Opportunity cost, Spider-Man. Opportunity cost.

The really interesting question to ask here is that if there is a cost, then what would it be? That is, what would Spider-Man be willing to pay to retain his secret identity (or what would he be willing to be paid to divulge it)? This does not necessarily have to be a monetary exchange. Suppose the Green Goblin threatened to kill Mary Jane and Aunt May unless Spider-Man revealed his secret identity. Would he do it to ensure the safety of his two most beloved people in the world? If so, then his secret identity would be worth no more than the combined value of their lives.

It's also fun to note the distinction between Batman and Spider-Man. Now, obviously interpretations of the characters vary by creative team so there is no definitive course of action that either would take given a particular situation. Nevertheless, there are two recent examples where Batman and Spider-Man have been presented the option of revealing their secret identities in order to save a bunch of lives.

For Spidey, it was in Invincible Iron Man #7 by Matt Fraction and Salvador Larroca. This issue took place just before "World's Most Wanted," which saw Tony Stark on the run from Norman Osborn's "Dark Reign." In the issue, Stark incessantly tries to convince Spider-Man to register with the government under the 2006 Superhuman Registration Act. He claims by doing so, Spider-Man would ultimately be able to save hundreds of more lives as he would have the full support of the government behind him. Spider-Man persistently refuses, however, noting that he would put his closest friends and family in danger--a risk he would not take even for the sake of the lives of many (he didn't say this explicitly, but heavily implied it).

Batman experienced a similar dilemma in Christopher Nolan's The Dark Knight.
In the movie, the Joker threatens to continue terrorizing citizens of Gotham City unless Batman reveal his secret identity to the public. What's interesting here is that, unlike Spider-Man, Batman makes the choice of saving the lives until Harvey Dent interrupts his decision.

In Spider-Man's example, his secret identity is worth more than the cost of the many lives Iron Man claims he would have been able to save. In Batman's example, it was not worth the cost.

There is also the question of utilitarianism vs. deontologism (saving more lives vs. the rightness of the act). But this will be a post for another day. For more on this in the context of Batman, read Mark White's Batman and Philosophy book.

Any guesses on what would be the most that Spider-Man would be willing to pay to remain hidden from the public?