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EA^2: The Winning Strategy for the Inaugural Lemonade Stand Game Tournament

机译:Ea ^ 2:首届柠檬水摊位比赛的制胜战略

摘要

We describe the winning strategy of the inaugural Lemonade Stand Game (LSG) Tournament. The LSG is a repeated symmetric 3–player constant–sum finite horizon game, in which a player chooses a location for their lemonade stand on an island with the aim of being as far as possible from its opponents. To receive a high utility in this game, our strategy, EA^2 , attempts to find a suitable partner with which to coordinate and exploit the third player. To do this, we classify the behaviour of our opponents using the history of joint interactions in order to identify the best player to coordinate with and how this coordination should be established. This approach is designed to be adaptive to various types of opponents such that coordination is almost always achieved, which yields consistently high utilities to our agent, as evidenced by the Tournament results and our subsequent experimental analysis. Our strategy models behaviours of its opponents, rather than situations of the game (e.g. game theoretic equilibrium or off equilibrium paths), which makes EA^2 easy to generalize to many other games.
机译:我们描述了首届柠檬水摊位游戏(LSG)锦标赛的获胜策略。 LSG是一种重复的,对称的3人恒定和有限视域博弈,其中玩家选择在岛上的柠檬水摊位的位置,目的是尽可能远离对手。为了在该游戏中获得较高的效用,我们的策略EA ^ 2试图找到合适的合作伙伴,与之合作并利用第三位玩家。为此,我们使用联合互动的历史记录对对手的行为进行分类,以便确定与之进行协调的最佳参与者以及如何建立这种协调。这种方法旨在适应各种类型的对手,从而几乎总是实现协调,这为我们的经纪人带来了持续的高效用,正如比赛结果和我们随后的实验分析所证明的那样。我们的策略模拟了对手的行为,而不是博弈情况(例如博弈理论均衡或非均衡路径),这使得EA ^ 2易于推广到许多其他博弈中。

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