关于可理性化的显示原理
Direct Representations for Interim Correlated Rationalizability
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中文总结 AI 辅助
研究关于中期相关可理性化的显示原理，通过使用幸存行动集完整层次结构，在精确最佳反应区域凸时，利用诱导分布及约束刻画，对有限收益结构划分单元并标记层次级别，给出依赖收益结构的直接表示。
中文摘要 AI 辅助
我们建立了一个关于中期相关可理性化的显示原理。仅揭示最终可理性化行动集是不行的，因为它丢弃了产生这些行动集的高阶信念信息。所以我们使用幸存行动集的完整层次结构。当精确的最佳反应区域是凸的时，状态和层次结构上的诱导分布能自我实现，并由逐层级的服从约束来刻画。所有二元行动收益结构和一类具有区间最佳反应集的有序收益结构都是多面体。对于任意有限收益结构，我们将精确最佳反应区域划分为有限多个凸单元，并按单元标记每个层次级别。带标记的层次结构满足类似的服从约束，并投影到普通可理性化层次结构上。因此每个有限收益结构都允许有一个依赖于收益结构的直接表示，每个级别有有限多个标记。
英文摘要
We study direct representations of information for interim correlated rationalizability. For a fixed finite payoff structure, each type induces a hierarchy of surviving action sets. Pushing the common prior through this map projects the information structure onto the solution concept's output language. When best-response regions are convex, this representation is direct: the solution concept applied to the hierarchy seen as a type is the identity. The induced distributions are characterized by level-by-level obedience constraints. Terminal ICR sets alone do not have this property. For arbitrary finite payoff structures, we refine each hierarchy level with a tag identifying a convex cell of its best-response region. Augmented hierarchies provide a direct representation and project onto the ordinary hierarchy. Full augmented hierarchies may form a continuum, but retaining only the tags at the boundaries of constant stretches of the ordinary hierarchy yields an exact countable representation with finitely many obedience constraints per type. Finite-type models are dense in terminal rationalizability outcome distributions.
