In economics, Knightian uncertainty is risk that is immeasurable, not possible to calculate.
Knightian uncertainty is named after University of Chicago economist Frank Knight (1885–1972), who distinguished risk and uncertainty in his work Risk, Uncertainty, and Profit:[1]
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The difference between predictable variation and unpredictable variation is one of the fundamental issues in the philosophy of probability, and different probability interpretations treat predictable and unpredictable variation differently. The distinction and debate has a long history, referred to as and discussed at common-cause and special-cause.
The Ellsberg paradox is based on the difference between these two types of risk, and the problems it poses for utility theory – one is faced with an urn that contains 30 red balls and 60 balls that are either all yellow or all black, and one then draws a ball from the urn. This poses both uncertainty – whether the non-red balls are all yellow or all black – and probability – whether the ball is red or non-red, which is ⅓ vs. ⅔. Expressed preferences in choices faced with this situation reveal that people do not treat these risks the same. This is also termed "ambiguity aversion".
Nassim Nicholas Taleb has developed the Black swan theory where there is no distinction between any different kinds of uncertainty.
In his book The Black Swan, in the section subtitled "The uncertainty of the nerd", he writes:
In real life you do not know the odds; you need to discover them, and the sources of uncertainty are not defined. Economists, who do not consider what was found by noneconomists worthwhile, draw an artificial distinction between Knightian risk (which you can compute) and Knightian uncertainty (which you cannot compute), after one Frank Knight, who rediscovered the notion of unknown uncertainty and did a lot of thinking but perhaps never took risks, or perhaps lived in the vicinity of a casino. Had he taken financial or economic risk he would have realized that these "computable" risks are largely absent from real life! They are laboratory contraptions.