摘要翻译：
我们讨论了在共同行动少数人博弈中，理性主体可以使用的策略来最大化其期望的长期收益。我们认为，代理将试图进入循环状态，其中每个$(2n+1)$代理在任何连续的$(2n+1)$天内都赢了$n$次。我们提出并分析了一种在不允许代理之间直接通信，且只有公开的公共信息是过去选择第一家餐馆的总人数记录的情况下，快速达到这种循环状态的策略。我们精确地确定了该策略达到周期状态所需的平均时间。我们证明，对于大的$N$，它的变化形式为$(N/\ln2)[1+\alpha\cos(2\pi\log2n)$]，其中对数周期振荡中的前导项的振幅$\alpha$为$\frac{8\pi^2}{(\ln2)^2}\exp{(-2\pi^2/\ln2)}\大约{\color{blue}7乘10^{-11}}$。
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英文标题：
《Achieving perfect coordination amongst agents in the co-action minority
  game》
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作者：
Hardik Rajpal and Deepak Dhar
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最新提交年份：
2018
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分类信息：

一级分类：Economics        经济学
二级分类：Econometrics        计量经济学
分类描述：Econometric Theory, Micro-Econometrics, Macro-Econometrics, Empirical Content of Economic Relations discovered via New Methods, Methodological Aspects of the Application of Statistical Inference to Economic Data.
计量经济学理论，微观计量经济学，宏观计量经济学，通过新方法发现的经济关系的实证内容，统计推论应用于经济数据的方法论方面。
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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英文摘要：
  We discuss the strategy that rational agents can use to maximize their expected long-term payoff in the co-action minority game. We argue that the agents will try to get into a cyclic state, where each of the $(2N +1)$ agent wins exactly $N$ times in any continuous stretch of $(2N+1)$ days. We propose and analyse a strategy for reaching such a cyclic state quickly, when any direct communication between agents is not allowed, and only the publicly available common information is the record of total number of people choosing the first restaurant in the past. We determine exactly the average time required to reach the periodic state for this strategy. We show that it varies as $(N/\ln 2) [1 + \alpha \cos (2 \pi \log_2 N)$], for large $N$, where the amplitude $\alpha$ of the leading term in the log-periodic oscillations is found be $\frac{8 \pi^2}{(\ln 2)^2} \exp{(- 2 \pi^2/\ln 2)} \approx {\color{blue}7 \times 10^{-11}}$.
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PDF链接：
https://arxiv.org/pdf/1802.06770