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爬行器的格结构

The lattice structure of the crawler

Hinata Kurashita

arXiv 2610.08096首次发表:更新:

发表机构

Institute of Science Tokyo(东京科学大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究单峰偏好下爬行器机制的均衡配置,证明其纳什均衡配置在弱帕累托占优下构成完全格,真实配置为最大元,初始禀赋为最小元。

AI 中文摘要

我们研究具有单峰偏好的物品再分配问题。在严格偏好的无限制域上,顶级交易环(TTC)是唯一满足效率、个体理性与策略证明性的规则。在单峰偏好域上,Bade(2019)引入的爬行器满足相同性质。我们证明,在弱帕累托占优下,爬行器直接显示机制的纳什均衡配置构成一个完全格。真实配置是该格的最大元,而初始禀赋配置是其最小元。

英文摘要

We study object reallocation problems with single-peaked preferences. On the unrestricted domain of strict preferences, top trading cycles (TTC) is the unique rule that satisfies efficiency, individual rationality, and strategy-proofness. On the single-peaked preference domain, the crawler introduced by Bade (2019) satisfies the same properties. We show that the Nash equilibrium allocations of the crawler's direct revelation game form a complete lattice under weak Pareto dominance. The truthful allocation is the greatest element of this lattice, while the initial endowment allocation is its least element.

论文原文

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