Decision under normative uncertainty

Franz Dietrich, Brian Jabarian
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Abstract

While ordinary decision theory focuses on empirical uncertainty, real decision-makers also face normative uncertainty: uncertainty about value itself. From a purely formal perspective, normative uncertainty is comparable to (Harsanyian or Rawlsian) identity uncertainty in the ‘original position’, where one’s future values are unknown. A comprehensive decision theory must address twofold uncertainty – normative and empirical. We present a simple model of twofold uncertainty, and show that the most popular decision principle – maximizing expected value (‘Expectationalism’) – has different formulations, namely Ex-Ante Expectationalism, Ex-Post Expectationalism, and hybrid theories. These alternative theories recommend different decisions, reasoning modes, and attitudes to risk. But they converge under an interesting (necessary and sufficient) condition.

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规范性不确定性下的决策
虽然普通的决策理论侧重于经验的不确定性,但真正的决策者也面临规范性的不确定性:价值本身的不确定性。从纯粹形式的角度来看,规范性的不确定性与“原始位置”(一个人的未来价值是未知的)的身份不确定性相当。一个全面的决策理论必须解决两方面的不确定性-规范和经验。我们提出了一个简单的双重不确定性模型,并表明最流行的决策原则——最大化期望值(“期望主义”)——有不同的表述,即事前期望主义、事后期望主义和混合理论。这些替代理论推荐了不同的决策、推理模式和对风险的态度。但它们在一个有趣的(充分必要)条件下收敛。
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