A strategy to find fair time controls for Armageddon chess games is presented and exemplified with 2750+ ELO players. The research was divided in two stages. The first one consisted in finding a time control for Stockfish 9 so that it played with an effective strength equal to the average 2750+ ELOplayers of the 2017 World Blitz Chess Championship. Analysis of this stage showed that a fair time control for an Armageddon game depends on the players’ rating. In the second stage, another instance of Stockfish 9 with a different time control was paired as the black player to the engine with the time control found in the first stage as the white player. The new engine’s time control was adjusted so that the expected result of Armageddon games between these two engines would be a draw. This game generation was done because there is a very small amount of Armageddon games in order to draw statistical conclusions out of them. The resulting time controls were found to be 180±35 seconds for white and 110±12.27 seconds for black plus a 2±0.39 second increment per move, starting from move 1. Therefore, the ratio between the initial times for the black and white players is approximately 3 to 5, which is different from the normally implemented 4 to 5 ratio.

中文翻译：

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大决战国际象棋游戏实施得是否公平？

提出了找到世界末日象棋游戏的公平时间控制策略，并以2750多个ELO玩家为例。研究分为两个阶段。第一个是找到Stockfish 9的时间控件，以使其发挥的有效力量等于2017年世界闪电战国际象棋锦标赛的平均2750+ ELOplayers。对这一阶段的分析表明，《世界末日》游戏的公平时间控制取决于玩家的等级。在第二阶段，将具有不同时间控制的Stockfish 9的另一个实例配对为黑色玩家，并将在第一阶段发现的时间控制作为白人玩家与引擎配对。调整了新引擎的时间控制，以使这两个引擎之间的世界末日大战游戏的预期结果成为平局。之所以完成这一代游戏，是因为世界末日游戏数量非常少，以便从中得出统计结论。从第1步开始，发现得到的时间控制对于白人来说是180±35秒，对于黑人来说是110±12.27秒，并且每步动作增加2±0.39秒，因此，黑白玩家的初始时间之间的比率大约为3到5，这与通常实现的4到5的比例不同。