Blackwell-Monotone Information Costs

التفاصيل البيبلوغرافية
العنوان: Blackwell-Monotone Information Costs
المؤلفون: Cheng, Xiaoyu, Kim, Yonggyun
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Economics - Theoretical Economics, Computer Science - Information Theory
الوصف: A Blackwell-monotone information cost function assigns higher costs to Blackwell more informative experiments. This paper provides simple necessary and sufficient conditions for a cost function to be Blackwell monotone over finite experiments. The key condition involves a system of linear differential inequalities. By using this characterization, we show that when a cost function is additively separable, it is Blackwell monotone if and only if it is the sum of sublinear functions. This identifies a wide range of practical information cost functions. Finally, we apply our results to bargaining and persuasion problems with costly information, broadening and strengthening earlier findings.
Comment: 43 pages, 2 figures, 15 pages of online appendix
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.15158
رقم الأكسشن: edsarx.2404.15158
قاعدة البيانات: arXiv