Imperfect Information

The graph lit up the projector in the front of the classroom.

A left triangle was the star attraction. A dizzying array of shading, dotted lines and math formulas balkanized its interior.

This diagram was supposed to illustrate pricing power. But to me, it resembled an eye chart.

My economics professor worked his way through the triangle. The top left corner represented the most that a company could feasibly charge for its services. But it was a price that they’d never actually set.

They couldn’t.

The professor explained that companies are saddled with imperfect information. They don’t know every move their competitors will make. They don’t understand which price is at the top of each consumer’s budget. And they have no concrete idea how financial markets will react.

Given that gumbo of uncertainty, companies needed to figure out the next best thing. They need to determine which price would maximize upside and minimize risk.

That’s what the various formulas and lines on this graph were for. And that’s what I’d need to master on the upcoming exam.

I did ultimately master the concept. Then I promptly forgot it.

But the term imperfect information? That was unforgettable.

I’ve found it odd that ambiguity is an indelible part of economic models.

But perhaps I shouldn’t.


What do you do with your free time?

It’s a question I hear bandied about now and then.

Friends and acquaintances tend to have the common responses. Binging TV shows. Gardening. Baking bread.

My answer is a little less traditional. I’ll go down a Wikipedia rabbit hole.

You see, I have a thirst for information. There is always more to be gleaned. And when I get started, it’s hard to stop.

I don’t embark on this quest to win game shows or stand out at parties. I do it out of genuine interest.

I lament all that I don’t know. And I wish to bridge that gap.

Others also seek to scratch this itch. It’s why so many people take continuing education courses online. And it’s why companies have robust research departments.

Still, this appetite for learning is not infinite. Many of us readily accept that a knowledge gap will persist.

But what if we didn’t?

What if more of us went down Wikipedia rabbit holes? What if we left no stone unturned in our quest for knowledge?

At first pass, this sounds idyllic. With a full tank of information, we’d never make an error of ignorance again. We’d be able to put our best foot forward every time.

If only it were that simple.


In finance, there is a concept called arbitrage.

This represents the gap between an asset’s true value and its sticker price. The bigger the gap, the more the seller can make on the margin — and the more the buyer is a sucker.

I’ve long despised arbitrage for this exact reason. Any practice that involves exploiting others seems immoral to me.

But arbitrage does have its advantages.

In a capitalist market, it offers incentives for both sellers and buyers. The sellers are motivated to offer up goods when there’s an opportunity for profit. And the buyers are motivated to uncover options with the least hefty gap.

This motivation drives action, keeping the economic engine turning. It spurs innovation, dangling a hefty reward for displacing quo. And it inspires branding, redefining the notion of value.

These developments have made us better as a society. Even if the individuals who make up our society have gotten fleeced along the way.

Perhaps that Gordon Gekko line from Wall Street wasn’t an indictment on our collective nature. Perhaps greed actually is good.

Arbitrage is, by nature, an invention of imperfect information. If both parties in a deal had the same intel, there would be no invisible tension. The buyer and seller would exchange money and goods, and that would be that.

But such exchanges would happen far less often.

With so little incentive to leverage an advantage, buyers and sellers would only make a deal at the time of highest need. And with such little marketplace activity, there would be little room for our culture to evolve and grow.

We would effectively become Amish. All while hoarding a war chest of facts in our heads.

Information without a practical purpose.

No, arbitrage isn’t perfect. But it’s hardly the opposite of the ideal.


In ancient times, much of the world’s information could be found in one location.

That location was a massive library on the shores of the Mediterranean Sea.

The library of Alexandria was a marvel. The first great repository of the written word, it offered its visitors a unique opportunity. The chance to accumulate more knowledge than their ancestors ever could.

Then, all that information went up in flames.

So much of this event remains an enigma. There’s no way to know for sure why the library burned, or what its demise meant to those who lived in its shadow.

But the modern-day response to the burning of Alexandria’s library is nearly unilateral. We treat the conflagration as a wrong that must be righted. And a great many of us — from scholars to wealthy connoisseurs to the founders of Google — have sought to recreate what once towered over the sea.

Selfishly, I admire this ethos. After all, it provides me endless fodder for my Wikipedia rabbit holes.

But I often wonder if we got the story of Alexandria all wrong.

Maybe the fire wasn’t an unvarnished tragedy. Maybe it was a warning of the dangers of our hubris.

One not unlike the tale of Icarus.

Our quest to collect perfect information is as misguided as our quest to fly close to the sun. Just as gravity keeps us grounded, imperfect information keeps us yearning for more.

This is a blessing, not a curse. And we should start acting like it.

That is what I’m beginning to do.

I no longer yearn to know everything. I’m content with learning a little bit more, each day.

I hope others follow my lead.

Imperfect information might not seem ideal. But it provides us what we need to thrive.

The Value in Sharing Knowledge

What value does knowledge hold?

Some would say it holds infinite value. That the more knowledge one accrues, the better off they are.

They may be right. But only to a point.

You see, the true value in knowledge lies not in how much of it one can gain. No, it lies in how much of it one can share.

Sharing represents full utilization of knowledge. It represents taking what one has gained and using it to help others. To bridge gaps, build communities and make the world a better place.

This is where value is created. This is where legends are made.

If you don’t believe me, consider how few rewards are given simply for accruing knowledge.

It might get us into Harvard, give us the grand prize in Jeopardy or help us ace the exam.

But then what?

We won’t be remembered for how much we can remember. And we likely won’t be able to make a career out of what we retain in our heads.

We need to do more to leave our mark. We need to be actionable with what we’ve learned. To use our knowledge to solve real world problems.

This is what the world expects of us. And it’s what we must expect of ourselves.

Yes, collaboration a fundamental attribute of humanity. Our society is built upon the value of sharing knowledge. Of taking ideas, building upon them and maximizing their impact.

It’s how we’ve evolved from caves to computers. It’s how we’ve gone from walking through jungles amongst saber-toothed tigers to flying above the clouds in jumbo jets.

If the minds behind these innovations hadn’t shared them, we’d still be in the Stone Age. Or maybe even extinct.

In fact, if we hadn’t shared our accrued knowledge, our entire existence would be anonymous. History, after all, is solely the result of shared knowledge.

Fortunately, those before us have taken on the burden of sharing their ideas. And, in doing so, they’ve provided us with previously unimaginable luxuries.

We can now live longer than our ancestors did. And we can now live in greater comfort than previous generations could ever have imagined.

But we cannot drop the ball.

In an era where endless information is available in our pockets, we cannot afford to act as if our brains are intake valves.

We must remember the importance of taking it in to share it out.

We must share what we know.

We must advance the conversation.

We must leave the world a better place than we found it.

This is our purpose. And our responsibility.

So, let’s commit to it. Together.

Be Informed

There’s a message I see each time I put on my dress shoes.

It’s written right on the shoe trees I keep inside them when they’re not on my feet. And it reads, An educated consumer is our best customer.

Now, at first glance, this might seem more than a bit pretentious. Especially when it’s written on an accessory to formalwear — one of the ultimate indicators of elitism.

Yet, I think the message resonates for all of us — regardless of our attire choices or discretionary income.

There is always more we can do to stay informed. In our society, knowledge is power. And regardless of our economic standing, we have access to it.

The ability to stay informed is a gift we shouldn’t pass up. Because it wasn’t always available to everyone.

In years past, it was much more difficult for many people to access information. There were illiteracy barriers, access barriers and financial barriers — all of which prevented a large segment of society from staying informed.

These barriers drove a wedge within society. Not only did the elite have more power, influence and money, but they also had the ability to continually stay up to date. And they could use the information they gleaned to maintain their privileged position.

As the generations passed, this wedge only widened. And it led to the sizable income and opportunity inequalities present in virtually every country.

Yet today, things are different. Technology has provided billions of people access to real time information. Smartphones and high-speed Internet — futuristic fantasies when I was a child — are now globally mainstream.

And the way we gather information has changed as well. Literacy is recommended, yet not required. Videos and images are ever more popular, and the Internet allows people to access them on-demand, without paying for a TV.

But with the power of access comes added responsibility. The responsibility of staying informed.

We must be educated consumers of the information at our fingertips in order to be the best customers of our society.

No, our society is not a department store. And aside from taxes, we don’t pay for its services.

But it is a marketplace of ideas, connection and opportunity.

We have an opportunity to leverage this marketplace for our betterment. To close the gap the longstanding informational divide between Haves and Have Nots.

Taking advantage of that opportunity starts with being informed.

It starts with being actively curious. With taking the time to seek out a diverse range of perspectives. To avoid relying solely on the biased bubbles of our sphere of influence.

It starts with being deliberate. With taking in all the relevant information we can in order to make the best decisions.

And it starts with being intentional. With making self-education part of our daily routine, and our identity.

Yes, information is one of the best tools in the shed. But it only works for us if we pick it up and use it.

Make the commitment.

Be informed.