Obvious representations

IF 0.7 4区 经济学 Q3 ECONOMICS
Lorenz Hartmann , Jean Baccelli
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引用次数: 0

Abstract

Under standard assumptions, the respect of obvious dominance characterizes the existence of what we call obvious representations. We show that various conditions imposed directly on these representations pin down general monotonic, invariant bi-separable, general Choquet, convex Choquet, neo-additive Choquet, and subjective expected utility preferences. Among other insights, the alternative axiomatizations which we thus provide facilitate comparisons between models, as well as the identification of their parameters. Co-minimal and co-maximal acts — a natural generalization of co-monotonic acts, the relevance of which is further confirmed by our results — play a significant role in our analysis. Our results further testify of the fundamental importance of obvious dominance, and they offer a proof of concept that obvious representations constitute a fruitful format for axiomatic investigations.
明显的表示
在标准假设下,对明显支配地位的尊重是我们所说的明显表征存在的特征。我们展示了直接施加在这些表征上的各种条件,确定了一般单调、不变双可分、一般Choquet、凸Choquet、新加性Choquet和主观预期效用偏好。在其他见解中,我们因此提供的替代公理化促进了模型之间的比较,以及它们参数的识别。共极小和共极大行为-共单调行为的自然推广,其相关性被我们的结果进一步证实-在我们的分析中发挥了重要作用。我们的结果进一步证明了明显优势的基本重要性,并提供了一个概念证明,即明显表征构成了公理化研究的富有成效的格式。
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来源期刊
Journal of Mathematical Economics
Journal of Mathematical Economics 管理科学-数学跨学科应用
CiteScore
1.70
自引率
7.70%
发文量
73
审稿时长
12.5 weeks
期刊介绍: The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.
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