Comparison of Deterministic Information Providers

2026-09-16

AI Summary

研究通过使用同时后验匹配、构造性划分标准和共同知识组件，分析了不完全信息博弈中不同确定性信息提供者的表现。

Abstract

We analyze incomplete-information games where an oracle publicly shares information with players. One oracle dominates another if, in every game, it can match the set of equilibrium outcomes induced by the latter. Characterizations are provided for deterministic signaling functions, based on simultaneous posterior matching, a constructive partition criterion, and common knowledge components. This study elaborates on the work of Blackwell (1951) in games with incomplete information, using the common knowledge components of Aumann (1976).

Problem

• incomplete-information games
• oracle
• equilibrium outcomes
• deterministic signaling functions

Innovation

• deterministic signaling functions
• simultaneous posterior matching
• constructive partition criterion