Thanks Steve,

Yes, there is a certain thread of literature and experience that is always in 
my mind on this topic.

It began some years ago when David Krakauer waved a copy of Richard 
Novikovsky’s book Games of No Chance in front of me, and that was my 
introduction to the modern work that had been done at MSRI Berkeley on 
combinatorial games.  All during my time at SFI, I was interested in finding 
some good merger of the low-dimensional but nonzero-sum games the economists 
almost-exclusively deal with, with the literature on combinatorial games that 
does much better at capturing what makes a problem “hard” to solve, as opposed 
to “hard” to clearly frame.  

Somehow — and I don’t remember who played what role in it — we had Elwyn 
Berlekamp out to SFI for a couple of days, and I hosted him.  It was like a 
visit from Erdos.  After about 48 hours everyone else was worn out and Elwyn 
was going strong.  But it started me reading a string of books by him and other 
MSRIers on mathematical Go, other work on mathematizing games, and also 
Conway’s On Numbers and Games, which I never put in the effort to understand 
but which Cris Moore understands through and through.

All that stuff is delightful, and I have wished to get to understanding it well 
enough to have new ideas in that space.  But have not done so yet.  Most 
interesting to me from Elwyn’s visit, and not contained in the books, was the 
experimental work he had done with world-champion-level Go players, to 
determine whether the values of game positions that he had derived from the 
mathematicization were pertinent to those that guided the players choices, and 
he claimed there was good agreement between the two.  I haven’t tried to track 
down any literature that may ever have come out of that, and I didn’t get 
references from Elwyn at the time to even write down.  From high-wattage people 
like that, there is just so much that comes across so fast, you can’t live 
enough lives in parallel to keep up with it.

But, it would be great to see some of those interests revived and developed 
further.  They seem to have so much promise not yet realized.  I wish there 
were anything concrete I could offer you by way of either ideas or references, 
but sadly I have none.

All best,

Eric



> On Feb 12, 2020, at 2:09 AM, Steven A Smith <[email protected]> wrote:
> 
> Eric-
> 
> Great interview!
> 
> Eric: You know what I like on this though, I think back to the, I guess it 
> was AlphaGo competition with Lee Sedol in the computer human contest for Go 
> playing. I really loved Lee’s comment at the end of it, where he was saying 
> that of course those had been the most difficult games he had had to play, 
> but that he had never enjoyed playing Go more than in those games because 
> before, he was the best in the world in a style of play that was essentially 
> established and playing the machine, it was opening [inaudible 00:06:46] of 
> play that no human would have opened against him. It was giving him an 
> insight into the game that had not been available to him from anyone before. 
> Apart from the superb character that that demonstrates in the man, I think 
> that’s a good way to look at human-computer interactions that we have all of 
> these big branching structures. The question is when will computational 
> solutions open [inaudible 00:07:11] of play that human conventions were not 
> exploring.
> I really appreciated this point/perspective.   I distinctly remember two 
> moments related to this.  The first was when the 4 color theorem was proven 
> by machine and there was a LOT of discussion about the implications of that.  
> The smallest of the conversation seemed to be the kinds of *insights* that 
> such a method of proof could elicit.   I'm not clear that any such thing came 
> of this or any other automated proof, but it seems possible?  Surely you or 
> someone else here has a better handle on that.
> 
> At the 1983 Cellular Automata conference at LANL, there was fairly widespread 
> discussion of the problems of automated Go play with speculations/assertions 
> about just how hard the problem was and whether it could ever be approached 
> at the "atomic" level.    It warms my heart to hear Lee Sedol's anecdote 
> about feeling like he was obtaining a new insight into a game he had 
> obviously already dedicated a lifetime to understanding.
> 
> My own dabbling in the area of human-in-the-loop ensemble steering is based 
> on the assumption/hope that the coupling of automated generation/analysis and 
> human insight is in some way transcendent of either approach alone.
> 
> - Steve
> 
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