Econ Papers Daily / 期刊论文
迪尔梅幂序列检验对克雷普斯-威尔逊一致性充分性的一个简单证明
A simple proof of the sufficiency of Dilmé’s power-sequence test for Kreps-Wilson consistency
摘要
Dilmé (Internat J Game Theory 53:673 2024) shows that an assessment is Kreps-Wilson (1982) consistent if and only if it is the limit of a particularly simple kind of sequence of strictly mixed strategies—which Dilmé calls a “power sequence”—and its associated sequence of Bayes-rule induced beliefs. We use Farkas’ lemma to provide a brief and simple proof of Dilmé’s result.
中文摘要
迪尔梅（《国际博弈论杂志》第53卷，第673页，2024年）证明，一个评估是克雷普斯-威尔逊（1982）一致的，当且仅当它是某种特别简单的严格混合策略序列——迪尔梅称之为“幂序列”——及其关联的贝叶斯规则诱导信念序列的极限。我们利用法卡斯引理，为迪尔梅的这一结果提供了一个简洁而简单的证明。