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why chess has small chance of being a black win ?
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Ricardo Gibert



Joined: 26 Jun 2006
Posts: 285
PostPost subject: Re: why chess has small chance of being a black win ?    Posted: Wed Feb 29, 2012 9:10 pm Reply to topic Reply with quote
PK wrote:
Black, in all probability, isn't winning by zugzwang. But give White right to make a pass move just once during the game, and automatically chess becomes impossible to lose by White, due to strategy stealing argument.

Really interesting question would be: what is the game-theoretical value of "one black pass chess", i.e. of a chess variant where Black has right to pass once during the game. Would it neutralize White's opening advantage to some extent?

Being able to pass is a pretty huge advantage in many endgames.

However, one thing you would need to clarify is what happens when Black is stalemated. Is Black compelled to pass or can Black just take the draw? If Black is compelled to pass, then consider:
[D]8/4k3/4P3/4K3/8/8/8/8 w - - 0 1
   ::    ::    ::    ::
::    ::    BK    ::    
   ::    :: WP ::    ::
::    ::    WK    ::    
   ::    ::    ::    ::
::    ::    ::    ::    
   ::    ::    ::    ::
::    ::    ::    ::    

On the move we are all hard wired to play 1...Ke8? after 2.Kd6 Black is in zugzwang! This despite having the option to pass! If 2...Kd8 3.e7+ Ke8 4. Ke6 pass 5.Kd6 wins. If 2...pass 3.e7 wins. Black would rather not move nor use up his option to pass, hence the zugzwang.

However any other 1st move by Black including passing can draw, but black may not have it so easy in some other endings where being compelled to pass is a greater disadvantage. Overall, passing is an advantage, but there would be exceptions.
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Subject Author Date/Time
why chess has small chance of being a black win ? Daniel Shawul Tue Feb 28, 2012 9:43 pm
      Re: why chess has small chance of being a black win ? Pawel Koziol Tue Feb 28, 2012 10:20 pm
            Re: why chess has small chance of being a black win ? Daniel Shawul Wed Feb 29, 2012 5:45 am
      Re: why chess has small chance of being a black win ? Vincent Lejeune Wed Feb 29, 2012 12:18 pm
            Re: why chess has small chance of being a black win ? Pawel Koziol Wed Feb 29, 2012 6:40 pm
                  Re: why chess has small chance of being a black win ? Ricardo Gibert Wed Feb 29, 2012 9:10 pm
      Re: why chess has small chance of being a black win ? Oliver Uwira Fri Mar 02, 2012 8:29 am
            Re: why chess has small chance of being a black win ? Daniel Shawul Fri Mar 02, 2012 6:26 pm
                  Re: why chess has small chance of being a black win ? Oliver Uwira Sat Mar 03, 2012 8:49 am
                        Re: why chess has small chance of being a black win ? Daniel Shawul Sat Mar 03, 2012 10:50 pm
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