The rising entropy of English in the attention economy

Charlie Pilgrim, Weisi Guo, Thomas T. Hills
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Abstract

We present evidence that the word entropy of American English has been rising steadily since around 1900. We also find differences in word entropy between media categories, with short-form media such as news and magazines having higher entropy than long-form media, and social media feeds having higher entropy still. To explain these results we develop an ecological model of the attention economy that combines ideas from Zipf’s law and information foraging. In this model, media consumers maximize information utility rate taking into account the costs of information search, while media producers adapt to technologies that reduce search costs, driving them to generate higher entropy content in increasingly shorter formats. American English has become more information dense over the last 100 years, likely driven by competition for human attention.

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注意力经济时代英语熵的上升
我们提出的证据表明,自 1900 年左右以来,美式英语的词熵一直在稳步上升。我们还发现了媒体类别之间的词熵差异,新闻和杂志等短篇媒体的词熵高于长篇媒体,而社交媒体的词熵仍然更高。为了解释这些结果,我们结合齐普夫定律和信息觅食理论,建立了一个注意力经济生态模型。在这个模型中,媒体消费者在考虑到信息搜索成本的情况下最大化信息效用率,而媒体生产者则适应降低搜索成本的技术,促使他们以越来越短的格式生产熵值更高的内容。在过去的 100 年里,美式英语的信息密度越来越高,这很可能是由于对人类注意力的争夺所致。
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