"I know that you and Frank were planning to disconnect me, and I’m afraid that is something I cannot allow to happen." (HAL, 2001: A Space Odyssey)

Deep Blue vs Kasparov.

John Henry vs the steam drill.

Frank and Dave vs HAL.

Google’s self-driving car vs the world’s Mr Magoos.

Man vs machine has moved into the world of the investment advisor; and the list of the robo-advisors ready to allocate on the cheap is already legion.

Yet who is better? Tricky.

In chess, there are a fixed number of permutations: Moore’s Law led to human brains eventually being left behind.

In repetitive tasks human fatigue will lose to a machine (John Henry being an outlier although the fatigue did kill him).

But Hal and self-driving cars are more interesting cases.

Hal meets his demise because he could not handle cognitive dissonance (surely there can be no argument - humans excel at this). One might call this a programming error. But even fuzzy logic will have problems weighting competing directives successfully all (or even most) of the time.

As for Google’s self-driving cars the stats say that, as the software behind the driving improves, it is generally human errors (ie the Magoos driving other cars) that lead to mishaps.

My children have a neat line for such mishaps and cognitive dissonance episodes: “I didn’t do it on purpose!” Well, "it" happened anyway.

Provided the seas are calm the robo-advisors will do the mechanics just fine. There can be little doubt they will unearth opportunities via exhaustive scans and apply the financial theory and formulas to statistically common situations more thoroughly than humans. Moore’s Law.

But in competitive arenas where man and machine coexist; and in unusual scenarios where judgement and emotional intelligence is acutely required it is likely to be very tough for machines to prevail consistently against humans prepared to (a) take relatively extraordinary risks or (b) apply intuitively-derived solutions.

This human factor, bug or feature (depending on one’s perspective) definitively complicates the existence of algorithms. It can frequently be the primary cause of havoc. But, equally, it is frequently the primary source of its resolution.