School of Electrical & Electronic Engineering, University of Adelaide, Adelaide, South Australia, 5005, Australia.
Centre for Biomedical Electrical Engineering (CBME), University of Adelaide, Adelaide, South Australia, 5005, Australia.
Sci Rep. 2019 Jun 20;9(1):8996. doi: 10.1038/s41598-019-45253-5.
The truel is a three person competition that generalises the classic duel. In this game three players try to eliminate each other in a series of one-to-one duels until there is only one survivor. The players' marksmanship, shooting order and strategies for choosing a target play a significant role in individual's survival probability. Strategies such as shooting into the air (abstention), shooting at the strongest opponent, and shooting at the weakest opponent have been analysed in the previous literature. In this paper, for the first time, we consider suicidal and random strategies that can be chosen by the weaker player. We show that although there is no possible highest probability region for weakest player adopting suicidal strategy, the player may increase the survival probability via switching between suicidal and abstention strategies randomly. In addition, we demonstrate that there is a narrow survival area for the weakest player when the player aims randomly at two other opponents, and eventually the area fades away if the player fires randomly at himself or the other two opponents.
The truel 是一种三人竞争游戏，它将经典的决斗进行了推广。在这个游戏中，三个玩家试图在一系列一对一的决斗中互相淘汰，直到只剩下一个幸存者。玩家的枪法、射击顺序和选择目标的策略在个人的生存概率中起着重要作用。在之前的文献中，已经分析了诸如朝天射击（弃权）、射击最强对手和射击最弱对手等策略。在本文中，我们首次考虑了较弱玩家可以选择的自杀和随机策略。我们表明，尽管较弱玩家采取自杀策略的最高概率区域并不存在，但玩家可以通过随机切换自杀和弃权策略来提高生存概率。此外，我们还证明了，当较弱玩家随机瞄准另外两个对手时，存在一个狭窄的生存区域，而如果玩家随机向自己或另外两个对手开火，该区域最终会消失。
