@techreport{oai:ipsj.ixsq.nii.ac.jp:02007483, author = {齋藤,大貴 and 保木,邦仁}, issue = {16}, month = {Feb}, note = {本研究は,同時手番型のカードゲーム「ハゲタカのえじき」を対象とし,カード数が残りn枚の戦略的状況を残りn-1枚の部分ゲームへと分解し,最適戦略を求める方法を提案する.ここで,ゲームはプレイヤが2人,同点ならば引き分けとし,2人零和不完全情報ゲームとして表現し,最適戦略は混合戦略のナッシュ均衡とした.残り数字カード枚数が少ない局面について多数の戦略的状況を生成し,プレイヤ間の数字カードの最大値・最小値・平均値の差と均衡利得との関係を分析した.その結果,最大値や平均値の差が大きいほど,均衡利得が正となる傾向が確認された.また,条件分岐による枝刈を導入することで,計算量を大幅に削減できることを示した., This study focuses on the simultaneous-move card game Hol's der Geier and proposes a method for deriving optimal strategies by decomposing a strategic situation with n remaining cards into subgames with n-1 remaining cards. The game is modeled as a two-player zero-sum imperfect-information game with ties resulting in a draw, and the optimal strategy is defined as a mixed-strategy Nash equilibrium. With a small number of remaining cards, a large set of game situations is generated, and the relationship between equilibrium payoffs and the differences in the maximum, minimum, and average values of the players' remaining number-cards is analyzed. The results show that larger differences in the maximum or average card values tend to yield positive equilibrium payoffs. Furthermore, by introducing branch pruning, the proposed method achieves a reduction of more than 60% in computational cost compared with the theoretical baseline.}, title = {2人でプレイするハゲタカのえじき終盤の最適戦略}, year = {2026} }