I think computers would be much better at this game (than they are at Go) 
because you have vastly reduced the branching factor of the game.

Ingo Althöfer wrote:
Hello,

one of the basic problems of go newbies
is their tendency to place the next stone near to the latest stone of the opponent.
Sometimes this is called the "2-inch heuristic
of beginners".

What do you think about a formalized variant
of Go with one-sided distance-k rule?

Let k be some natural number.
The normal rules of Go hold, except for one thing:
When possible, White has to place his next stone
within distance k (in city-block metric) of the latest
stone of Black. If there is no feasible move of this type
the stone has to be placed within the smallest
possible city-block distance of the latest stone of
Black. White may pass at any time.  Example:
On 19x19 board k=36 would mean no restriction at all.)

* What should be fair values of komi(k) or fair numbers
  of handicap stones?

* Main question: How strong would MCTS-based programs be in this variant(s)?

* Would computers be stronger than humans for certain values of k?

Ingo.


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