# しりとりゲームの数理的解析An Analysis of Word Chain Games

## 抄録

``しりとり''を完全情報ゲームとして数学的に定義した``しりとりゲーム''を考えると，グラフ上のゲームとしてモデル化することができる．これは完全情報ゲームであるため理論上は解けることになるが，問題のサイズが大きくなるにつれ全探索は困難となる．本論文では，しりとりゲームに関する解析を行い，ゲームを効率的に探索する手法を提案する．この手法は数理的解析，探索の効率化の2つの部分から成っており，数理的解析としてグラフのより簡単な形への変形を行っている．加えて，しりとりゲームにおける先手の勝率に関して実験，考察を行う．The word-chain game (SHIRITORI in Japanese) in which two players are assumed to know all the words can be modeled as a game on graph.When given a set of words with a word to start,it is theoretically possible to decide whether the first player can win the game or not because it is a game with perfect information,but it is practically difficult to find the solution because of the huge searching space.In this paper,we propose a mathematical approach to finding a solution to the word-chain game.We show how to simplify the game by means of mathematical analysis,and give a more efficient searching algorithm.In addition, we examine the possibility for the first player to win the game.Our experimental results show that our approach is quite promising.

The word-chain game (SHIRITORI in Japanese) in which two players are assumed to know all the words can be modeled as a game on graph. When given a set of words with a word to start, it is theoretically possible to decide whether the first player can win the game or not because it is a game with perfect information, but it is practically difficult to find the solution because of the huge searching space. In this paper, we propose a mathematical approach to finding a solution to the word-chain game. We show how to simplify the game by means of mathematical analysis, and give a more efficient searching algorithm. In addition, we examine the possibility for the first player to win the game. Our experimental results show that our approach is quite promising.

## 収録刊行物

• 情報処理学会論文誌

情報処理学会論文誌 43(10), 3012-3020, 2002-10-15

一般社団法人情報処理学会

## 各種コード

• NII論文ID(NAID)
110002771154
• NII書誌ID(NCID)
AN00116647
• 本文言語コード
JPN
• 資料種別
Journal Article
• ISSN
1882-7764
• NDL 記事登録ID
6327883
• NDL 雑誌分類
ZM13(科学技術--科学技術一般--データ処理・計算機)
• NDL 請求記号
Z14-741
• データ提供元
CJP書誌  NDL  NII-ELS  IPSJ

ページトップへ