Disagreement is an essential element of science and life in general. The language of probabilities and statistics is often used to describe disagreements quantitatively. In practice, however, we want much more than that. We want disagreements to be resolved. This leaves us with a substantial knowledge gap, which is often perceived as a lack of practical intuition regarding probabilistic and statistical concepts. Here, we propose to address disagreements using the methods of financial economics. In particular, we show how a large class of disagreements can be transformed into investment opportunities. The expected financial performance of such investments quantifies the amount of disagreement in a tangible way. This provides intuition for statistical concepts such as the Rényi divergence, which becomes connected to the financial performance of optimized investments. Investment optimization takes into account individual opinions as well as attitudes towards risk. The result is a market-like social mechanism by which funds flow naturally to support a more accurate view. Such social mechanisms can help us with difficult disagreements (e.g., financial arguments concerning the future climate). In terms of scientific validation, we used the findings of independent neurophysiological experiments as well as our own research on the equity premium.

中文翻译：

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分歧经济学——Rényi分歧的金融直觉

一般而言，分歧是科学和生活的基本要素。概率和统计语言通常用于定量描述分歧。然而，在实践中，我们想要的远不止这些。我们希望解决分歧。这给我们留下了巨大的知识差距，这通常被认为是缺乏对概率和统计概念的实际直觉。在这里，我们建议使用金融经济学的方法来解决分歧。特别是，我们展示了一大类分歧如何转化为投资机会。此类投资的预期财务业绩以有形的方式量化了分歧的程度。这为 Rényi 散度等统计概念提供了直觉，这与优化投资的财务业绩有关。投资优化考虑到个人意见以及对风险的态度。结果是一种类似市场的社会机制，通过这种机制，资金自然流动以支持更准确的观点。这种社会机制可以帮助我们解决棘手的分歧（例如，关于未来气候的财务争论）。在科学验证方面，我们使用了独立神经生理学实验的结果以及我们自己对股权溢价的研究。关于未来气候的财务争论）。在科学验证方面，我们使用了独立神经生理学实验的结果以及我们自己对股权溢价的研究。关于未来气候的财务争论）。在科学验证方面，我们使用了独立神经生理学实验的结果以及我们自己对股权溢价的研究。