Game of Duels: Information-Theoretic Axiomatization of Scoring Rules
Game of Duels: Information-Theoretic Axiomatization of Scoring Rules
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DOI：
10.1109/tit.2018.2867469
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发表时间：
2019
影响因子：
2.5
通讯作者：
Jakša Cvitanić;D. Prelec;Sonja Radas;H. Šikić
中科院分区：
文献类型：
--
作者：
Jakša Cvitanić;D. Prelec;Sonja Radas;H. Šikić
本文旨在通过假设一系列七个自然条件，让人联想到信息论中的公理，发展对贝叶斯真理血清（BTS）机制的见解。将一个更大的机制族简化为BTS的条件是可加性，类似于熵的公理化发展。这七个条件将BTS确定为唯一的评分规则，用于在受访者被要求从有限集合中选择一个替代方案的情况下对受访者进行排名，并预测他们的同龄人对有限或无限集合的受访者的选择倾向。
This paper aims to develop the insights into Bayesian truth serum (BTS) mechanism by postulating a sequence of seven natural conditions reminiscent of axioms in information theory. The condition that reduces a larger family of mechanisms to BTS is additivity, akin to the axiomatic development of entropy. The seven conditions identify BTS as the unique scoring rule for ranking respondents in situations in which respondents are asked to choose an alternative from a finite set and provide predictions of their peers’ propensities to choose, for finite or infinite sets of respondents.