Robust virtual implementation under common strong belief in rationality

• 成果类型: Article
• 署名作者: Mueller, Christoph
• 署名单位: University of Queensland
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2015.09.002
• 发表日期: 2016
• 页码: 407-450
• 关键词: Strategic distinguishability; Common strong belief in rationality; Extensive-form rationalizability; Strong rationalizability; robust implementation; virtual implementation

摘要

Bergemann and Morris (2009b) show that static mechanisms cannot robustly virtually implement non constant social choice functions if preferences are sufficiently interdependent. Without any knowledge of how agents revise their beliefs this impossibility result extends to dynamic mechanisms. In contrast, we show that if the agents revise their beliefs according to the forward-induction logic embedded in strong rationalizability, admitting dynamic mechanisms leads to considerable gains. We show that all ex-post incentive compatible social choice functions are robustly virtually implementable in private consumption environments satisfying a weak sufficient condition, regardless of the level of preference interdependence. This result derives from the key insight that in such environments, in every belief-complete type space under common strong belief in rationality (Battigalli and Siniscalchi, 2002), dynamic mechanisms can distinguish all payoff type profiles by their strategic choices. Notably, dynamic mechanisms can robustly virtually implement the efficient allocation of an object in cases that static mechanisms cannot. (C) 2015 Elsevier Inc. All rights reserved.