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Economics > Theoretical Economics

arXiv:2509.20790 (econ)
[Submitted on 25 Sep 2025 ]

Title: Börgers's Open Question Resolved

Title: 博格斯的开放问题已解决

Authors:Siyang Xiong
Abstract: Focusing on stochastic finite-action mechanisms, we study implementation in undominated strategies and iteratively undominated strategies. We establish both possibility and impossibility results that resolve the open question in B\"orgers (1995). Contrary to the conventional understanding that positive results on Nash implementation need separability, quasilinearity, or infinite action sets, we provide -- to our knowledge -- the first positive result beyond those demanding assumptions.
Abstract: 专注于随机有限动作机制,我们研究在非占优策略和迭代非占优策略下的实施问题。 我们建立了可能性和不可能性结果,解决了Börgers (1995)中的开放问题。 与传统观点相反,即纳什实施的积极结果需要可分离性、准线性或无限动作集,我们提供——据我们所知——第一个超越这些假设的积极结果。
Subjects: Theoretical Economics (econ.TH)
Cite as: arXiv:2509.20790 [econ.TH]
  (or arXiv:2509.20790v1 [econ.TH] for this version)
  https://doi.org/10.48550/arXiv.2509.20790
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Siyang Xiong [view email]
[v1] Thu, 25 Sep 2025 06:16:40 UTC (19 KB)
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