We propose a linear ballistic accumulator (LBA) model of decision making and reaction time. The LBA is simpler than other models of choice response time, with independent accumulators that race towards a common response threshold. Activity in the accumulators increases in a linear and deterministic manner. The simplicity of the model allows complete analytic solutions for choices between any number of alternatives. These solutions (and freely-available computer code) make the model easy to apply to both binary and multiple choice situations. Using data from five previously published experiments, we demonstrate that the LBA model successfully accommodates empirical phenomena from binary and multiple choice tasks that have proven difficult for other theoretical accounts. Our results are encouraging in a field beset by the tradeoff between complexity and completeness.

中文翻译：

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选择响应时间的最简单完整模型：线性弹道累积

我们提出了决策和反应时间的线性弹道蓄能器 (LBA) 模型。LBA 比选择响应时间的其他模型更简单，具有朝着共同响应阈值竞争的独立累加器。累加器中的活动以线性和确定性方式增加。该模型的简单性允许在任意数量的备选方案之间进行选择的完整分析解决方案。这些解决方案（以及免费提供的计算机代码）使该模型易于应用于二元和多项选择情况。使用来自先前发布的五个实验的数据，我们证明了 LBA 模型成功地适应了来自二元和多项选择任务的经验现象，这对于其他理论解释来说是困难的。