You... all that stuff those guys were saying, about taking away the other's money, and being opponents, those rules, did you actually believe that?

Even if they were stealing the money, since you don't know your opponent, he's the only one whom you suspect to be the culprit.

Watching Souta and Saeko is like watching a chess competition.

The second game was a freestyle chess tournament in 2005, in which man and machine could enter together as partners, rather than adversaries, if they so chose.

Their ability to coach and manipulate their computers to deeply explore specific positions effectively counteracted the superior chess knowledge of the grandmasters and the superior computational power of other adversaries.

So they had people play this game while they were being scanned in an fMRI, and two conditions: in some trials, they're told you're playing another person who's playing right now and we're going to match up your behavior at the end and pay you if you win.

In the 1950s, a computer scientist at IBM named Arthur Samuel liked to play checkers, so he wrote a computer program so he could play against the computer.

And then Arthur Samuel goes back to the computer and he plays it, and he loses, and he plays it, and he loses, and he plays it, and he loses, and Arthur Samuel has created a machine that surpasses his ability in a task that he taught it.

(Laughter) It's true -- my mom and especially my dad always said: "Respect your opponent, and never underestimate them, ever."

In golf, where performance doesn't depend on the opponent, only 4% of top players are left-handed, an example of the wider phenomenon of tool sharing.

Because there’s no way to know which portion of the rubies were bought with ill-gotten wealth, the fine will be determined through a game of wits between the merchant and the king’s most clever advisor – you.

(Laughter) Just 12 years later, I was fighting for my life against just one computer in a match called by the cover of "Newsweek" "The Brain's Last Stand."

In the most famous human-machine competition since John Henry, I played two matches against the IBM supercomputer, Deep Blue.

When I first met Deep Blue in 1996 in February, I had been the world champion for more than 10 years, and I had played 182 world championship games and hundreds of games against other top players in other competitions.

These were human doubts, human fears, and the only thing I knew for sure was that my opponent Deep Blue had no such worries at all.

Their skill of coaching their machines effectively counteracted the superior chess knowledge of their grandmaster opponents and much greater computational power of others.

The second thing that really stands out is that, if you talk to one of the championship Go players, this person cannot necessarily even really articulate what exactly it is they're thinking about as they play the game.

What I learned, though, at my regular games in Japan, is more what could be called the inner sport of global domination, sometimes known as life.

This "Romantic" style reached its peak in the Immortal Game of 1851, where Adolf Anderssen managed a checkmate after sacrificing his queen and both rooks.