Estadística de las trayectorias más exitosas en el juego de minorías

Germán Medina Pérez
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Abstract

The present paper considers the decision problem of the bar “El Farol”, posed by the economist Brian Arthur. From which the computational algorithm that simulates the decision problem with a large number of rational agents was developed, best known as the game of minorities. The game of minorities turns out to be a problem of game theory that exhibits the time competition that exists between adaptive rational agents. The complexity that characterizes the problem arises from the fact that people do not interact directly with each other, but through a common closed environment created by themselves. In addition to reproducing the most cited results of the same, we simulate a set of “mixed games” in order to contrast different memories to determine in which of them the agents involved in the game get better performance or better gains over time. So we study their statistical properties, more specifically, the statistical distribution that players’ earnings exhibit over time.

统计少数民族游戏中最成功的轨迹
本文考虑了经济学家布莱恩·阿瑟提出的“El Farol”酒吧的决策问题。由此发展出了一种模拟具有大量理性主体的决策问题的计算算法,被称为少数人博弈。少数人博弈是一个博弈论问题,它表现了适应性理性主体之间存在的时间竞争。这个问题的复杂性源于这样一个事实,即人们并不直接相互作用,而是通过他们自己创造的一个共同的封闭环境。除了重现最常被引用的结果外,我们还模拟了一组“混合游戏”,以对比不同的记忆,以确定参与游戏的代理在哪种情况下会随着时间的推移获得更好的表现或更好的收益。所以我们研究他们的统计属性,更具体地说,是玩家收入随时间的统计分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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