更公平的国际象棋:在国际象棋中两个开局的恢复创造了白黑之间的平衡
Fairer Chess: A Reversal of Two Opening Moves in Chess Creates Balance Between White and Black
摘要:
不像井字棋或跳棋,最佳发挥会导致平局,国际象棋中的最佳发挥是否会导致白方获胜,黑方获胜或平局尚不清楚。但是在国际象棋中,白棋先走后,如果黑棋走两步,接着是白棋走两步,然后交替进行,那么比赛会更平衡,因为白棋并不总是平局或领先。象征性地,平衡交替给出了以下移动序列:在白色(W)的初始移动之后,首先黑色(B),然后白色每个都有两个移动(BBWW),然后是交替序列,从W开始,总共可以写为WB/BW/WB/WB/WB. (the斜线分隔交替的移动对)。除了从WB到BW的第三和第四步的反转,这是标准的国际象棋序列。由于平衡交替位于有利于白色的标准序列和有利于黑色的可比序列之间,因此它极有可能产生具有最佳玩法的平局,使国际象棋更加公平。这一结论得到了国际象棋开局以及它们在平衡交替下如何发挥的计算机分析的支持。
英文摘要:
Unlike tic-tac-toe or checkers, in which optimal play leads to a draw, it is not known whether optimal play in chess ends in a win for White, a win for Black, or a draw. But after White moves first in chess, if Black has a double move followed by a double move of White and then alternating play, play is more balanced because White does not always tie or lead in moves. Symbolically, Balanced Alternation gives the following move sequence: After White's (W) initial move, first Black (B) and then White each have two moves in a row (BBWW), followed by the alternating sequence, beginning with W, which altogether can be written as WB/BW/WB/WB/WB... (the slashes separate alternating pairs of moves). Except for reversal of the 3rd and 4th moves from WB to BW, this is the standard chess sequence. Because Balanced Alternation lies between the standard sequence, which favors White, and a comparable sequence that favors Black, it is highly likely to produce a draw with optimal play, rendering chess fairer. This conclusion is supported by a computer analysis of chess openings and how they would play out under Balanced Alternation.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。