RobertJasiek wrote:

@Gerard: Yes, it is rare is that the koloser has no compensation at all for losing the ko. However, why do you have a problem with this and, e.g., komaster evaluation? Such a model does consider compensation as gains T of each play elsewhere. Only komonster evaluation allows T to drop to 0 for no compensation.

@NordicGoDojo: Another remark on possibly unifying endgame evaluation theories and consideration of the last move: If we could already unify all endgame evaluation theories and solve the game, very likely it would be impractical to apply such a unified theory during a game. Combinatorial game theory started with exactness also considering the last move of a game. Bill Spight's endgame theory and my endgame theory involving move values, or the combinatorial game theory's orthodoxy and thermography are endgame evaluation theories that, in the general case, are approximations and ignore, in particular, consideration of the last move. Unless very late during the endgame, it is an advantage and great simplification to ignore, in the general case, the fight of getting the last move.

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Without taking into account ko threats in the environment the common analyse of this position is quite easy.

The resulting count when black plays first is 3 points

The resulting count when white plays first is -14 points

=> according to the theoritical theory the move value here is m = (14 + 3) / 3 = 5 2/3.

Assume now black is komaster. Can you explain how do you analyse now the position taking into account a possible compensation T for white?

How do you choose the T value?

At what temperature will black play locally to avoid the ko?

At what temperature will white play locally in order to force black to use her ko threat?

If it not easy to answer these questions then surely I will conclude (as you did with the problem of playing the last move) it is an advantage and great simplification to ignore ko threats in the environment.