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How to Play Well in Non-zero Sum Games: Some Lessons from Generalized Traveler's Dilemma

机译:如何在非零和游戏中发挥出色:来自广义旅行者困境的一些教训

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We are interested in two-person games whose structure is far from zero-sum. We study the iterated Traveler's Dilemma (TD) which is a two-player, non-zero sum game that, depending on the exact values of its critical parameters, may offer plenty of incentives for cooperation. We first briefly summarize the results of a round-robin tournament with 36 competing strategies that was motivated by the work by Axelrod et al. on the iterated Prisoner's Dilemma. We then generalize the "default" version of Iterated TD with respect to two important game parameters, the bonus value and the "granularity" of the allowable bids. We analytically show the impact of the ratio of these two parameters on the game structure. Third, we re-run the 36-player round-robin tournament and investigate how varying the bonus-to-granularity ratio affects relative performances of various types of strategies in the tournament. We draw some conclusions based on those results and outline some promising ways forward in further investigating games whose structures seem to defy the prescriptions of classical game theory.
机译:我们对结构远非零和的两人游戏感兴趣。我们研究了迭代的旅行者困境(TD),这是一个两人,非零和游戏,根据其关键参数的确切值,可能会提供很多合作动机。首先,我们简要总结了由Axelrod等人的工作推动的具有36种竞争策略的循环锦标赛的结果。在反复的囚徒困境中。然后,我们针对两个重要的游戏参数(奖金值和允许出价的“粒度”)归纳迭代TD的“默认”版本。我们分析性地显示了这两个参数的比率对游戏结构的影响。第三,我们重新进行了36人循环锦标赛,并研究了奖金与粒度比率的变化如何影响锦标赛中各种类型策略的相对表现。我们根据这些结果得出一些结论,并概述了进一步研究其结构似乎不符合经典博弈理论规定的游戏的一些有前途的方法。

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