Monotonicity and Robust Implementation Under Forward-Induction Reasoning

IF 6.2 1区经济学 Q1 ECONOMICS

Econometrica Pub Date : 2026-04-01 DOI:10.3982/ECTA23709

Pierpaolo Battigalli, Emiliano Catonini

引用次数: 0

Abstract

In sequential games, the set of paths consistent with rationality and forward-induction reasoning may change nonmonotonically when adding transparent restrictions on players' beliefs. Yet, we prove that—in an incomplete-information environment—predictions become sharper when the restrictions only concern initial beliefs about types. Thus, strong rationalizability for games with payoff uncertainty characterizes the path predictions of forward-induction reasoning across all possible restrictions on players' hierarchies of exogenous beliefs. With this, we can solve an open problem: the implementation of social choice functions through sequential mechanisms under forward-induction reasoning—which considerably expands the realm of implementable functions compared with simultaneous mechanisms (Müller (2016))—is indeed robust in the sense of Bergemann and Morris (2009).

Abstract Image

查看原文本刊更多论文

前向归纳推理下的单调性与鲁棒性实现

在序列博弈中，当对玩家的信念添加透明的限制时，符合理性和前向归纳推理的路径集可能会发生非单调的变化。然而，我们证明，在不完全信息环境中，当限制只涉及关于类型的初始信念时，预测变得更加清晰。因此，对于具有收益不确定性的游戏来说，前向归纳推理的路径预测具有很强的合理性，可以跨越玩家外生信念等级的所有可能限制。有了这个，我们可以解决一个开放的问题：在前向归纳推理下，通过顺序机制实现社会选择函数——与同时机制相比，它大大扩展了可实现函数的领域（m勒（2016））——在Bergemann和Morris（2009）的意义上确实是稳健的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Econometrica 社会科学-数学跨学科应用

CiteScore

11.00

自引率

3.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Econometrica publishes original articles in all branches of economics - theoretical and empirical, abstract and applied, providing wide-ranging coverage across the subject area. It promotes studies that aim at the unification of the theoretical-quantitative and the empirical-quantitative approach to economic problems and that are penetrated by constructive and rigorous thinking. It explores a unique range of topics each year - from the frontier of theoretical developments in many new and important areas, to research on current and applied economic problems, to methodologically innovative, theoretical and applied studies in econometrics. Econometrica maintains a long tradition that submitted articles are refereed carefully and that detailed and thoughtful referee reports are provided to the author as an aid to scientific research, thus ensuring the high calibre of papers found in Econometrica. An international board of editors, together with the referees it has selected, has succeeded in substantially reducing editorial turnaround time, thereby encouraging submissions of the highest quality. We strongly encourage recent Ph. D. graduates to submit their work to Econometrica. Our policy is to take into account the fact that recent graduates are less experienced in the process of writing and submitting papers.