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American Economic Review Vol. 112 No. 1 2022

Counterfactuals with Latent Information

Dirk Bergemann1; Benjamin Brooks2; Stephen Morris3

1 Department of Economics, Yale University (email: ) · 2 Department of Economics, University of Chicago (email: ) · 3 Department of Economics, Massachusetts Institute of Technology (email: )

Abstract

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.

DOI
10.1257/aer.20210496
Volume
112
Issue
1
Pages
343-368
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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