摘要: 篮球是一项技术与战术策略并重的运动项目，本文采取了文献资料法，数理统计法，专家访谈法，研究了篮球竞赛中8种进攻战术与8种防守战术之间的策略决断，建立了篮球竞技的二人动态非合作博弈模型。研究发现，1) 篮球竞技过程中的博弈是二人零和动态博弈。2) 在纯策略意义下，局中人不存在各自的最优策略。3) 在混合策略下甲的最优策略为x
*=
，乙的最优策略为y
*=
。4) 当进攻方采取
的混合策略，则防守方的期望收益将从纯策略下的q（
q＞0.5）变得更小。5) 若防守方采取
混合策略，则进攻方的期望收益将从纯策略下的
q（q＞0.5）变得更小。在篮球竞技过程中，为了达到最大收益，双方必须使用混合策略，以此来达到降低对方期望值的目标，从而在一轮博弈中占据优势。
Abstract:
Basketball is a sport with equal importance to technology and tactical strategy. this paper studied the strategic decision between 8 offensive tactics and 8 defensive tactics in basketball competition using literature research and mathematical statistics, established a dynamic non-cooperative game model for two players in the basketball competition, and found the following conclusions: 1) The game in basketball competition is the dynamic game between two people. 2) In the sense of pure strategy, the players do not have their own optimal strategy. 3) The optimal strategy of A under the hybrid strategy is
x*=
, Party B’s optimal strategy is the
y*=
. 4) When the offensive party takes a hybrid strategy of
, defense expected gain will change from
q（q＞0.5）under pure strategy. 5) If the defense adopts a hybrid strategy of
, the expected earnings for the offensive side will be smaller from
q（q＞0.5）under the pure strategy. Therefore, the game in the process of basketball competition is a zero-sum dynamic game between two people. In order to achieve the maximum returns, both sides must use mixed strategies to achieve the goal of reducing the other side’s expectations, so as to occupy an advantage in a round of the game.