Counterfactuals with Latent Informations

• 成果类型: Article
• 署名作者: Bergemann, Dirk; Brooks, Benjamin; Morris, Stephen
• 署名单位: Yale University; University of Chicago; Massachusetts Institute of Technology (MIT)
• 刊物名称: AMERICAN ECONOMIC REVIEW
• ISSN/ISSBN: 0002-8282
• DOI: 10.1257/aer.20210496
• 发表日期: 2022
• 页码: 343-368
• 关键词: equilibrium; uncertainty

摘要

We describe a methodology for making counterfactual predictions in settings where the information held by strategic agents and the distribution of payoff-relevant states of the world are unknown. The analyst observes behavior assumed to be rationalized by a Bayesian model, in which agents maximize expected utility, given partial and differential information about the state. A counterfactual prediction is desired about behavior in another strategic setting, under the hypothesis that the distribution of the state and agents' information about the state are held fixed. When the data and the desired counterfactual prediction pertain to environments with finitely many states, players, and actions, the counterfactual prediction is described by finitely many linear inequalities, even though the latent parameter, the information structure, is infinite dimensional. (JEL D44, D82, D83)