主题：Local dominance

主讲人：Xue Jingyi（新加坡管理大学）

时间：2021年04月13日 晚上21:30-23:00

主讲内容：

我们定义了一个局部支配力的概念，它涉及博弈树中行动之间的真正选择问题，并且不依赖于全局规划。当我们不限制玩家进行或然性推理时，当且仅当它在每个决策节点上都规定了一个局部支配性的行动时，一个缩减的策略就是弱支配性的，因此任何保留了策略证明的直接机制的动态分解对于缺乏全局规划是稳健的。在一厢情愿的情况下，我们还表明，策略保护性对缺乏前瞻性规划是稳健的。此外，从我们的局部角度来看，我们可以识别出特别自然的偶然推理的粗略形式。我们构建了一个动态博弈，在最小形式的偶然推理下实现了顶级交易周期的分配，与不相关的替代品的独立性有关。

We define a local notion of dominance that speaks to the true choice problems among actions in a game tree and does not rely on global planning. When we do not restrict players’ ability to do contingent reasoning, a reduced strategy is weakly dominant if and only if it prescribes a locally dominant action at every decision node, therefore any dynamic decomposition of a direct mechanism that preserves strategy-proofness is robust to the lack of global planning. Under a form of wishful thinking, we also show that strategy-proofness is robust to the lack of forward-planning. Moreover, from our local perspective, we can identify rough forms of contingent reasoning that are particularly natural. We construct a dynamic game that implements the Top Trading Cycles allocation under a minimal form of contingent reasoning, related to independence of irrelevant alternatives.