Things That Like Dispersion
Some payoffs depend more on favourable extremes than on the average. Taleb uses enthusiastic readers and wealthy luxury buyers to illustrate how greater dispersion can help when gains are retained and losses are limited.
THE IDEA
Things That Like Dispersion
One property of the option: it does not care about the average outcome, only the favorable ones (since the downside doesn’t count beyond a certain point). Authors, artists, and even philosophers are much better off having a very small number of fanatics behind them than a large number of people who appreciate their work. The number of persons who dislike the work don’t count—there is no such thing as the opposite of buying your book, or the equivalent of losing points in a soccer game, and this absence of negative domain for book sales provides the author with a measure of optionality.
Further, it helps when supporters are both enthusiastic and influential. Wittgenstein, for instance, was largely considered a lunatic, a strange bird, or just a b***t operator by those whose opinion didn’t count (he had almost no publications to his name). But he had a small number of cultlike followers, and some, such as Bertrand Russell and J. M. Keynes, were massively influential.
Beyond books, consider this simple heuristic: your work and ideas, whether in politics, the arts, or other domains, are antifragile if, instead of having one hundred percent of the people finding your mission acceptable or mildly commendable, you are better off having a high percentage of people disliking you and your message (even intensely), combined with a low percentage of extremely loyal and enthusiastic supporters. Options like dispersion of outcomes and don’t care about the average too much.
Another business that does not care about the average but rather the dispersion around the average is the luxury goods industry—jewelry, watches, art, expensive apartments in fancy locations, expensive collector wines, gourmet farm-raised probiotic dog food, etc. Such businesses only care about the pool of funds available to the very rich. If the population in the Western world had an average income of fifty thousand dollars, with no inequality at all, luxury goods sellers would not survive. But if the average stays the same but with a high degree of inequality, with some incomes higher than two million dollars, and potentially some incomes higher than ten million, then the business has plenty of customers—even if such high incomes are offset by masses of people with lower incomes. The “tails” of the distribution on the higher end of the income brackets, the extreme, are much more determined by changes in inequality than changes in the average. It gains from dispersion, hence is antifragile. This explains the bubble in real estate prices in Central London, determined by inequality in Russia and the Arabian Gulf and totally independent of the real estate dynamics in Britain. Some apartments, those for the very rich, sell for twenty times the average per square foot of a building a few blocks away.
Harvard’s former president Larry Summers got in trouble (clumsily) explaining a version of the point and lost his job in the aftermath of the uproar. He was trying to say that males and females have equal intelligence, but the male population has more variations and dispersion (hence volatility), with more highly unintelligent men, and more highly intelligent ones. For Summers, this explained why men were overrepresented in the scientific and intellectual community (and also why men were overrepresented in jails or failures). The number of successful scientists depends on the “tails,” the extremes, rather than the average. Just as an option does not care about the adverse outcomes, or an author does not care about the haters.
No one at present dares to state the obvious: growth in society may not come from raising the average the Asian way, but from increasing the number of people in the “tails,” that small, very small number of risk takers crazy enough to have ideas of their own, those endowed with that very rare ability called imagination, that rarer quality called courage, and who make things happen.
When to use it
An author can compare the value of reaching more casual readers with the value of retaining a smaller group who buy and recommend each book.
A startup might target a niche market with extremely loyal customers rather than a broad market with lukewarm interest.
When assessing an innovation programme, examine both typical results and exceptional successes, including who bears the cost of failures.
When analysing an asymmetric payoff, check which changes in the outcome distribution increase its expected value and which losses remain possible.
FROM THEORY TO EVERYDAY LIFE
In practice
Authors and Fanatical Followers
Taleb argues that a few enthusiastic, influential supporters can matter more to an author than widespread mild approval. He cites Wittgenstein’s support from Russell and Keynes. His book-sales analogy treats a nonbuyer as contributing zero sales, rather than a negative sale.
Luxury Goods and Income Inequality
Taleb compares equal and unequal income distributions with the same $50k average. The unequal distribution has more buyers able to afford very expensive goods. His claim about Central London property illustrates that argument, rather than establishing that its prices are independent of every other influence.
Larry Summers' Variance Argument
Taleb recounts Summers’s argument that two groups with the same average can have different numbers at the extremes if their variances differ. That mathematical possibility does not by itself establish either a difference in intelligence distributions or an explanation for representation in science or prison.
A MOMENT TO REFLECT
Put it to work.
Think of a project or career where you have many mild supporters vs a few fanatics. Which scenario would be more advantageous and why?
How does income inequality affect the success of luxury goods? Can you find other industries that benefit from dispersion?
Does your work depend more on broad acceptance or on a few highly enthusiastic supporters? What evidence would help you decide?
Often confused with
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Source texts
- Antifragile (Nassim Nicholas Taleb)