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Counterfactual Analysis under Partial Identification Using Locally Robust Refinement

Nathan Canen, Kyungchul Song

arXiv 31 May 2019 · Econometrics · publishedJournal of Applied Econometrics (2021)

arXiv:1906.00003 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Structural models that admit multiple reduced forms, such as game-theoretic models with multiple equilibria, pose challenges in practice, especially when parameters are set-identified and the identified set is large. In such cases, researchers often choose to focus on a particular subset of equilibria for counterfactual analysis, but this choice can be hard to justify. This paper shows that some parameter values can be more "desirable" than others for counterfactual analysis, even if they are empirically equivalent given the data. In particular, within the identified set, some counterfactual predictions can exhibit more robustness than others, against local perturbations of the reduced forms (e.g. the equilibrium selection rule). We provide a representation of this subset which can be used to simplify the implementation. We illustrate our message using moment inequality models, and provide an empirical application based on a model with top-coded data.

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42
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Ciliberto and Tamer (2009) Market Structure and Multiple Equilibria in Airline Markets0.64441100%
2Romano, Shaikh, and Wolf (2014) A Practical Two-Step Method for Testing Moment Inequalities0.5938162%
3Tamer (2003) Incomplete Simultaneous Discrete Response Model with Multiple Equilibria0.58531100%
4Aguirregabiria and Nevo (2013) Recent Developments in Empirical IO: Dynamic Demand and Dynamic Games0.51121100%
5Andrews and Shi (2013) Inference Based on Conditional Moment Inequalities0.51121100%
6Bresnahan and Reiss (1991) Empirical Models of Discrete Games0.51121100%
7Carneiro, Heckman, and Vytlacil (2011) Estimating Marginal Returns to Education0.51121100%
8Heckman (2010) Causal Parameters and Policy Analysis in Economists: A Twentieth Century Restrospective0.51121100%
9Jia (2008) What Happens When Wal-Mart Comes to Town: An Empirical Analysis of the Discount Retailing Industry0.51121100%
10Oreopoulos and Petronijevic (2013) Making College Worth It: A Review of the Returns to Higher Education0.51121100%

Showing the top 10 of 49 scored citations.