论文标题
Stackelberg游戏:对常规策略的回应
The Stackelberg Game: responses to regular strategies
论文作者
论文摘要
遵循Arxiv:2011.13275的单轮Voronoi游戏的解决方案之后,我们自然而然地希望根据积分的竞争位置和随后的领土分裂来考虑类似的游戏。为了使白人(第一个玩家)的眼泪被欺骗在积分序列的游戏中首次欺骗,替代游戏(或更确切地说,Voronoi游戏的延伸)是Stackelberg游戏,如果Black(Black(Black the Black)获得了一半的竞争者,则所有人都不会丢失。事实证明,可以从单轮Voronoi游戏中传递大量结果,而Stackelberg游戏还有什么要探索的是最好的白色如何减轻布莱克的位置的伤害。由于Arxiv:2011.13275中概述了某些安排中的重大弱点,因此我们将首先考虑仍然满足这些结果的安排(即White扮演一定的网格布置),然后探索黑色如何最好地利用这些位置。
Following the solution to the One-Round Voronoi Game in arXiv:2011.13275, we naturally may want to consider similar games based upon the competitive locating of points and subsequent dividing of territories. In order to appease the tears of White (the first player) after they have potentially been tricked into going first in a game of point-placement, an alternative game (or rather, an extension of the Voronoi game) is the Stackelberg game where all is not lost if Black (the second player) gains over half of the contested area. It turns out that plenty of results can be transferred from One-Round Voronoi Game and what remains to be explored for the Stackelberg game is how best White can mitigate the damage of Black's placements. Since significant weaknesses in certain arrangements were outlined in arXiv:2011.13275, we shall first consider arrangements that still satisfy these results (namely, White plays a certain grid arrangement) and then explore how Black can best exploit these positions.