论文标题
道奇和生存：建模道奇球的掠夺性质
Dodge and survive: modeling the predatory nature of dodgeball
论文作者
论文摘要
对游戏和运动作为复杂系统的分析可以洞悉人类竞争的动态，并被证明在足球，篮球和其他职业运动中有用。在本文中，我们介绍了美国学校中流行运动的道奇球模型，并使用普通的微分方程（ODE）隔间模型和基于随机代理的游戏模拟对其进行分析。 ODE模型揭示了丰富的景观，并根据团队使用的策略发生不同的游戏动态，在某些情况下可以将其映射到竞争性物种模型中的场景中。基于随机代理的游戏模拟确认并补充确定性ODE模型的预测。在某些情况下，可以将游戏胜利解释为从稳定固定点吸引盆地的噪音驱动的逃脱，这导致了球员数量较大的极长的比赛。使用基于ODE的模型，我们构建了一种策略来增加获胜的可能性。
The analysis of games and sports as complex systems can give insights into the dynamics of human competition, and has been proven useful in soccer, basketball, and other professional sports. In this paper we present a model for dodgeball, a popular sport in US schools, and analyze it using an ordinary differential equation (ODE) compartmental model and stochastic agent-based game simulations. The ODE model reveals a rich landscape with different game dynamics occurring depending on the strategies used by the teams, which can in some cases be mapped to scenarios in competitive species models. Stochastic agent-based game simulations confirm and complement the predictions of the deterministic ODE models. In some scenarios, game victory can be interpreted as a noise-driven escape from the basin of attraction of a stable fixed point, resulting in extremely long games when the number of players is large. Using the ODE and agent-based models, we construct a strategy to increase the probability of winning.
