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

Tanayot Prapaithrakul (), Saharath Sanguanpong () and Nantapath Trakultraipruk ()
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Tanayot Prapaithrakul: Thammasat University
Saharath Sanguanpong: Thammasat University
Nantapath Trakultraipruk: Thammasat University

International Journal of Game Theory, 2024, vol. 53, issue 4, No 5, 1169-1185

Abstract: 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.

Keywords: Multimove game; Makruk; Thai chess; Shogi; Japanese chess; Xiang Qi; Chinese chess; 91A68; 91A05; 91A22 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00182-023-00880-1

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