Assessing Gambler’s Fallacy in Children Through Framing and Executive Functioning

Juliette H. Pope, J. Mark Cleaveland
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Abstract

There is a gap in the literature concerning how recency biases develop in younger cohorts, and their impact on mathematical reasoning. The gambler’s fallacy is a negative recency bias that is defined as the false belief that for independent events, a streak of one outcome means that outcome is less likely to occur on a subsequent trial. In order to explore the developmental trajectory of this phenomenon, two groups of young children (4-5 years vs 7-8 years) participated in three tasks. All children first participated in a Flanker Inhibitory Control and Attention Test. The results of this test served to provide a measure of executive functioning for each participant. Next the children participated in two outcome prediction tasks. In one, each child observed a “friend” hiding behind one of two bushes over a sequence of trials, and then predicted their hiding location on a critical choice trial. In the other prediction task, participants observed an animation of a leaf falling from a tree and landing in one of two locations. In a critical choice trial, the participants predicted the landing spot of the leaf for the subsequent trial. Our data show 1) age differences in executive functioning scores, 2) an increase in negative recency bias as a function of executive functioning, and 3) the influence of framing effects on recency bias.
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通过框架和执行功能评估儿童的赌徒谬误
关于近期偏差如何在年轻群体中发展,以及它们对数学推理的影响,文献中存在空白。赌徒谬误是一种消极的近因偏差,它被定义为一种错误的信念,即对于独立事件,连续出现一个结果意味着在随后的试验中不太可能出现结果。为了探索这一现象的发展轨迹,两组幼儿(4-5岁和7-8岁)参与了三个任务。所有儿童首先参加了侧克抑制控制和注意力测试。这个测试的结果为每个参与者提供了执行功能的衡量标准。接下来,孩子们参加了两个结果预测任务。在其中一个实验中,每个孩子观察一个“朋友”。在一系列试验中躲在两个灌木丛中的一个后面,然后在关键选择试验中预测它们的藏身地点。在另一项预测任务中,参与者观察树叶从树上落下并落在两个位置之一的动画。在关键选择试验中,参与者预测接下来试验中树叶的落点。我们的数据显示1)执行功能得分的年龄差异,2)负近因偏差作为执行功能的函数增加,以及3)框架效应对近因偏差的影响。
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