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Winning strategies of (i, j) multimove games on Thai, Japanese, and Chinese chess games

Author

Listed:
  • Tanayot Prapaithrakul

    (Thammasat University)

  • Saharath Sanguanpong

    (Thammasat University)

  • Nantapath Trakultraipruk

    (Thammasat University)

Abstract

Let i and j be positive integers. An (i, j) multimove game is a two-player game in which the first player (White/female) has i moves per turn, and the second player (Black/male) has j moves per turn. In this paper, we present winning strategies for the (i, j) multimove games in Thai, Japanese, and Chinese chess games for all (i, j) not equal to (1,1) or (2,2). In addition, we demonstrate that Black does not have a winning strategy in a (2,2) multimove game in Thai, Japanese, or Chinese chess.

Suggested Citation

  • Tanayot Prapaithrakul & Saharath Sanguanpong & Nantapath Trakultraipruk, 2024. "Winning strategies of (i, j) multimove games on Thai, Japanese, and Chinese chess games," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(4), pages 1169-1185, December.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:4:d:10.1007_s00182-023-00880-1
    DOI: 10.1007/s00182-023-00880-1
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