标题： 在小棋盘上解决扇贝游戏 显示英文标题

标题： Solving Abalone on Small Boards

摘要： Abalone是一款具有完全信息的两人棋盘游戏。 该游戏在5x5x5六边形网格上进行，当一名玩家将对方的6枚棋子推出棋盘时游戏结束。 Abalone与象棋和围棋类似，因为这三款游戏都有较高的分支因子，使得计算机难以确定游戏的结果。 然而，解决Abalone的较小且简化的版本可以提供如何最优地玩完整尺寸游戏的见解。 在本文中，我们对在2x2x2六边形棋盘上进行的Abalone变种进行了强解。 我们还对在2x2x3六边形棋盘上进行的Abalone变种进行了弱解。 显示英文摘要

摘要： Abalone is a 2-player board game with perfect information. The game is played on a 5x5x5 hexagonal grid and ends when a player pushes 6 of their opponents' pieces off the board. Abalone is similar to games like chess and Go in that all three games have high branching factors, making it difficult for a computer to determine the outcome of a game. However, solving smaller, simplified versions of Abalone can offer insight into how to play the full-size game optimally. In this paper, we strongly solve a variation of Abalone played on a 2x2x2 hexagonal board. We also weakly solve an Abalone variation on a 2x2x3 hexagonal board.