Retrograde Analysis of the KGK Endgame in Shogi: Its Implications for Ancient Heian Shogi
Abstract
This paper explores evolutionary changes of Shogi (Japanese chess) using game-theoretic analyses by computer. Heian Shogi is an ancient game only briefly described in the literature. Therefore, it is impossible to know exactly how it was played. Through game-theoretic analyses of rules, we estimate the historical changes of this ancient game. Our method provides a new innovative approach to guess logically how these ancient games actually have been played. This paper focuses upon the game results of the KGK endgame on NxN boards, applying game-programming methods. Then it determines the size of the boards in which the side of King and Gold always wins except trivially drawn cases with the Gold being captured. Based on the analyses, we discuss the rules of Heian Shogi. We specifically provide a logical interpretation of the shift from the 8×8 board to the 9×9 board in the evolutionary history of Shogi.
Keywords
evolution of games retrograde analysis KGK endgame Shogi Heian ShogiPreview
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References
- 1.J. Fairbairn. Shogi for Beginners. The Shogi Association, Ltd., London, 1984.Google Scholar
- 2.H. Iida. The Origin of Shogi Viewed from Game-Theoretic Strategies. Human Sciences and Computer, 34(2):7–12. Information Processing Society of Japan, 1997. (in Japanese)Google Scholar
- 3.H. Masukawa. Shogi. Housei University Press, 1977. (in Japanese).Google Scholar
- 4.K. Tandai. The Mystery of Heian Shogi. Tsumeki Mate 23:81–82. Tsumeshogi Kenkyukai, 1996. (in Japanese)Google Scholar
- 5.K. Tandai. The Mystery of Heian Shogi (2). Tsumeki Mate 24:70–71. Tsumeshogi Kenkyukai, 1997. (in Japanese)Google Scholar
- 6.K. Thompson. Retrograde Analysis of Certain Endgames. ICCA Journal, 9(3):131–139, 1986.Google Scholar
- 7.I. Umebayashi. Shogi of the World: from the Ancient to the Modern Time. Shogi-Tengoku-sha, 1996. (in Japanese).Google Scholar