The 1996 Donald Duck Holiday Game is a role-playing variant of the historical Game of the Goose, involving characters with unique attributes, event squares, and random event cards. The objective of the game is to reach the camping before any other player does. We develop a Monte Carlo simulation model that automatically plays the game and enables analyzing its key characteristics. We assess the game on various metrics relevant to each playability. Numerical analysis shows that, on average, the game takes between 69 and 123 rounds to complete, depending on the number of players. However, durations over one hour (translated to human play time) occur over 25% of the games, which might reduce the quality of the gaming experience. Furthermore, we show that two characters are about 30% likely to win than the other three, primarily due to being exposed to fewer random events. We argue that the richer narrative of role-playing games may extend the duration for which the game remains enjoyable, such that the metrics cannot directly be compared to those of the traditional Game-of-the-Goose. Based on our analysis, we provide several suggestions to improve the game balance with only slight modifications. In a broader sense, we demonstrate that a basic Monte Carlo simulation suffices to analyze Game-of-the-Goose role-playing variants, verify how they score on criteria that contribute to an enjoyable game, and detect possible anomalies.

中文翻译：

---

唐老鸭假日游戏：鹅游戏角色扮演变体的数值分析

1996 年的唐老鸭假期游戏是历史悠久的鹅游戏的角色扮演变体，涉及具有独特属性、事件方块和随机事件卡的角色。游戏的目标是在任何其他玩家之前到达露营地。我们开发了一个蒙特卡罗模拟模型，可以自动玩游戏并分析其关键特征。我们根据与每个可玩性相关的各种指标来评估游戏。数值分析表明，根据玩家人数，游戏平均需要 69 到 123 轮才能完成。但是，超过 25% 的游戏会出现超过一小时的持续时间（转换为人类游戏时间），这可能会降低游戏体验的质量。此外，我们表明两个角色比其他三个角色获胜的可能性约为 30%，主要是因为暴露于较少的随机事件。我们认为，角色扮演游戏更丰富的叙事可能会延长游戏保持乐趣的持续时间，因此无法直接将这些指标与传统的鹅类游戏进行比较。根据我们的分析，我们提供了一些建议，只需稍作修改即可改善游戏平衡。在更广泛的意义上，我们证明了基本的蒙特卡罗模拟足以分析鹅游戏角色扮演变体，验证它们如何根据有助于令人愉悦的游戏的标准得分，并检测可能的异常。根据我们的分析，我们提供了一些建议，只需稍作修改即可改善游戏平衡。在更广泛的意义上，我们证明了基本的蒙特卡罗模拟足以分析鹅游戏角色扮演变体，验证它们如何根据有助于令人愉悦的游戏的标准得分，并检测可能的异常。根据我们的分析，我们提供了一些建议，只需稍作修改即可改善游戏平衡。在更广泛的意义上，我们证明了基本的蒙特卡罗模拟足以分析鹅游戏角色扮演变体，验证它们如何根据有助于令人愉悦的游戏的标准得分，并检测可能的异常。