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Online problems and complexity in games and puzzles

Research Project

Project/Area Number 15K00505
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Entertainment and game informatics 1
Research InstitutionThe University of Electro-Communications

Principal Investigator

Takenaga Yasuhiko  電気通信大学, 大学院情報理工学研究科, 准教授 (20236491)

Project Period (FY) 2015-10-21 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordsゲーム・パズル / アルゴリズム / 必勝性 / 計算量 / ゲーム / オンライン問題 / 計算複雑さ
Outline of Final Research Achievements

In this research, we deal with a falling block puzzle game PuyoPuyo, which has online property, as a single-player game and consider the conditions so that the player can win, that is, the player can keep playing the game forever on the gameboard of a constant height.
We have considered both the cases that the lookahead of inputs exists as in the real game and it does not exist. In both cases, we have shown sufficient conditions that the player wins and that the player loses using the number of game pieces, the width of the gameboard and the number of lookaheads as parameters. Also we have shown that the ideas of the proofs can be applied to the other similar games.
Also, we have shown algorithms and complexity of the problems to decide if the matchstick puzzles on the grid has a solution and the problem to decide the winner of a tow-player game QUIXO.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (8 results)

All 2017 2016

All Journal Article (1 results) (of which Peer Reviewed: 1 results,  Acknowledgement Compliant: 1 results) Presentation (7 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Stgrategies for Single-Player PuyoPuyo2017

    • Author(s)
      Yasuhiko Takenaga and Shimada Yo
    • Journal Title

      ICGA Journal

      Volume: 印刷中 Issue: 2 Pages: 87-101

    • DOI

      10.3233/icg-160001

    • Related Report
      2017 Annual Research Report 2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 先読みありの1人ぷよぷよの必勝性2017

    • Author(s)
      全 虎山,武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      名城大学(愛知県名古屋市)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 一人用落ち物パズルゲームの必勝性2017

    • Author(s)
      勝野誠基,武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      名城大学(愛知県名古屋市)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 一般化QUIXOの計算複雑さ2017

    • Author(s)
      三柴翔平,武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      名城大学(愛知県名古屋市)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 格子上のマッチ棒パズル2017

    • Author(s)
      三柴翔平、武永康彦、杉山晴香
    • Organizer
      組合せゲーム・パズルプロジェクト第12回研究集会
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Research-status Report
  • [Presentation] On Winning Strategies for Tetris Type Games2017

    • Author(s)
      Yasuhiko Takenaga, Masaki Katsuno and Hushan Quan
    • Organizer
      The 20th Korea-Japan Joint Workshop on Algorithms and Computation
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Matchstick Puzzles on a Grid2017

    • Author(s)
      Yasuhiko Takenaga, Shohei Mishiba and Haruka Sugiyama
    • Organizer
      The 20th Japan Conference on Geometry, Graphs, and Games Discrete and Computational
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 得点札を持つ二人トリックテイキングゲームの解析2016

    • Author(s)
      金広尚平、武永康彦
    • Organizer
      電子情報通信学会2016年総合大会
    • Place of Presentation
      九州大学
    • Year and Date
      2016-03-15
    • Related Report
      2015 Research-status Report

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Published: 2015-10-21   Modified: 2019-03-29  

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