• Title/Summary/Keyword: 전략적 몬테카를로 트리탐색

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Enhanced strategic Monte-Carlo Tree Search algorithm to play the game of Tic-Tac-Toe (삼목 게임을 위해 개선된 몬테카를로 트리탐색 알고리즘)

  • Lee, Byung-Doo
    • Journal of Korea Game Society
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    • v.16 no.4
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    • pp.79-86
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    • 2016
  • Monte-Carlo Tree Search(MCTS) is a best-first tree search algorithm and has been successfully applied to various games, especially to the game of Go. We evaluate the performance of MCTS playing against each other in the game of Tic-Tac-Toe. It reveals that the first player always has an overwhelming advantage to the second player; and we try to find out the reason why the first player is superior to the second player in spite of the fact that the best game result should be a draw. Since MCTS is a statistical algorithm based on the repeated random sampling, it cannot adequately tackle an urgent problem that needs a strategy, especially for the second player. For this, we propose a strategic MCTS(S-MCTS) and show that the S-MCTS player never loses a Tic-Tac-Toe game.

Analysis of Tic-Tac-Toe Game Strategies using Genetic Algorithm (유전 알고리즘을 이용한 삼목 게임 전략 분석)

  • Lee, Byung-Doo
    • Journal of Korea Game Society
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    • v.14 no.6
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    • pp.39-48
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    • 2014
  • Go is an extremely complex strategy board game despite its simple rules. By using MCTS, the computer Go programs with handicap game have been defeated human Go professionals. MCTS is based on the winning rate estimated by MC simulation rather than strategy concept. Meanwhile Genetic algorithm equipped with an adequate fitness function can find out the best solutions in the game. The game of Tic-Tac-Toe, also known as Naughts and Crosses, is one of the most popular games. We tried to find out the best strategy in the game of Tic-Tac-Toe. The experimental result showed that Genetic algorithm enables to find efficient strategies and can be applied to other board games such as Go and chess.

The most promising first moves on small Go boards, based on pure Monte-Carlo Tree Search (순수 몬테카를로 트리탐색을 기반으로 한 소형 바둑판에서의 가장 유망한 첫 수들)

  • Lee, Byung-Doo
    • Journal of Korea Game Society
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    • v.18 no.6
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    • pp.59-68
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    • 2018
  • In spite of its simple rule, Go is one of the most complex strategic board games in the field of Artificial Intelligence (AI). Monte-Carlo Tree Search (MCTS) is an algorithm with best-first tree search, and has used to implement computer Go. We try to find the most promising first move using MCTS for playing a Go game on a board of size smaller than $9{\times}9$ Go board. The experimental result reveals that MCTS prefers to place the first move at the center in case of odd-sized Go boards, and at the central in case of even-sized Go boards.