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Identification in Instrumental Variables Models: The Central Role of Abadie's Kappa

Econometrica 2026 94(4), 1095-1133
We study instrumental variables models characterized by: (i) Unobserved heterogeneity consisting of potential outcomes and response types that describe how the instrument determines treatment choice; (ii) Conditional independence of the instrument and the unobserved heterogeneity; and (iii) Convex restrictions on the distribution of unobserved heterogeneity. We show certain causal parameters are identified in these models if and only if a version of the kappa of Abadie (2003) exists. Our identification results are constructive in yielding estimating moment conditions. Focusing on a leading special case, we develop asymptotically normal estimators based on a doubly robust version of these moment conditions.

Job Ladder and Wealth Dynamics in General Equilibrium

Econometrica 2026 94(4), 1449-1485
This paper develops a macroeconomic model that combines an incomplete‐markets overlapping‐generations economy with a job ladder featuring sequential wage bargaining, endogenous search effort of employed and non‐employed workers, and differences in match quality. With these ingredients, our model provides a joint microfoundation for the three main inputs in aggregate production: capital, employment, and labor efficiency. The calibrated model offers a good fit to the empirical age profiles of search activity, job‐finding rates, wages, and savings. We use the model to analyze the impact of tax and transfer policies for labor market dynamics and aggregate economic activity via capital, employment, and labor efficiency channels. Lower unemployment benefits and a less progressive tax schedule bring about welfare losses for a newborn worker which are mainly driven by higher consumption risk and costlier search effort; both policies have differential effects along the age, income, and wealth dimensions.

Mechanism Design for Personalized Policy: A Field Experiment Incentivizing Exercise

Econometrica 2026 94(4), 1409-1448
Personalizing policies can theoretically increase their effectiveness. However, personalization is difficult when individual types are unobservable and the preferences of policymakers and individuals are not aligned, which could cause individuals to misreport their type. Mechanism design offers a strategy to overcome this issue: offer an “incentive‐compatible” menu of policy choices designed to induce participants to select the variant intended for their type. Using a field experiment that personalized incentives for exercise among 6,800 adults with diabetes and hypertension in urban India, we show that personalizing with an incentive‐compatible choice menu substantially improves program performance, increasing the treatment effect of incentives on exercise by 80% without increasing incentive costs relative to a one‐size‐fits‐all benchmark. Offering choice achieves similar performance to personalizing with an extensive set of observable variables, but without the same data requirements.

Walras–Bowley Lecture: Climate Policy in the Wide World

Econometrica 2026 94(4), 1061-1093
We construct a dynamic integrated assessment model of climate and the economy with very high geographic resolution. Migration is free within, but not allowed across, countries. The model parameterization uses a wealth of data, including the distribution of output, population, energy sources and use, and estimates of the local damages from climate change. It implies very large geographic dispersion in damages from warming. We conduct three kinds of policy experiments. In one, we note that a modest, uniform carbon tax limits global warming and damages around the world substantially. In a second experiment, we let the poorest countries not tax carbon, while the rest compensate by setting higher taxes; the efficiency losses are large. In a final experiment, we find that fast green technology growth alone is a poor substitute for carbon taxes, whether globally available or not.

Double Robustness of Local Projections and Some Unpleasant VARithmetic

Econometrica 2026 94(4), 1313-1343
We consider impulse response inference in a locally misspecified vector autoregression (VAR) model. The conventional local projection (LP) confidence interval has correct coverage even when the misspecification is so large that it can be detected with probability approaching 1. This result follows from a “double robustness” property analogous to that of popular partially linear regression estimators. By contrast, the conventional VAR confidence interval with short‐to‐moderate lag length can severely undercover for misspecification that is small, difficult to detect statistically, and cannot be ruled out based on economic theory. The VAR confidence interval has robust coverage if, and only if, the lag length is so large that the interval is as wide as the LP interval.

Firm‐to‐Firm Trade: Imports, Exports, and the Labor Market

Econometrica 2026 94(4), 1135-1170
Customs data reveal the heterogeneity and granularity of relationships among buyers and sellers, showing how more exports to a destination break down into more firms selling there and more buyers per exporter. We develop a quantitative general equilibrium model of firm‐to‐firm matching that builds on this insight to separate the roles of iceberg costs and matching frictions in gravity. In the cross section, we find matching frictions as important as iceberg costs in impeding trade, and more sensitive to distance. Because domestic and imported intermediates compete directly with labor in performing production tasks, our model also fits the heterogeneity of labor shares across French producers. Applying the framework to the 2004 expansion of the European Union, reduced iceberg costs and reduced matching frictions contributed equally to the increase in French exports to the new members. While workers benefited overall, those competing most directly with imports gained less, even losing in some countries entering the EU.

Dynamic Screening of Buyers With Heterogeneous Purchase Frequency

Econometrica 2026 94(4), 1245-1278
We consider a dynamic buyer–seller interaction. Instead of the buyer's valuation, it is the frequency with which he needs to trade that is the buyer's private information. The difference matters. With commitment, full surplus extraction is possible, for instance via limited‐time offers. Without commitment, ratcheting is mitigated, as not buying is not necessarily a sign of strength. Because time is informative, the seller learns and may adjust her behavior over time. When finding a suitable alternative seller is easy, she starts with a pooling offer before permanently switching to a screening offer. When finding a suitable alternative seller takes time, she starts with a pooling offer before occasionally experimenting with separating offers.

The Equilibrium Effects of Campaign Finance Deregulation on U.S. Elections

Econometrica 2026 94(4), 1209-1243
The U.S. Supreme Court's 2010 decision in Citizens United v. Federal Election Commission deregulated campaign finance, enabling the rise of a new political action committee (the Super PAC) with broad freedom to raise and spend money. This led to an unprecedented surge in spending in primary and general elections. To evaluate the impact of Super PACs, I estimate a multistage model of political competition using data from U.S. Congressional elections between 2010 and 2020. I find that Super PAC spending by both sides prompts offsetting responses, resulting in limited net equilibrium effects. However, by amplifying the role of donors, Super PACs still have the potential to reshape the electoral landscape.

Information Design in Common Value Auction With Moral Hazard: Application to OCS Leasing Auctions

Econometrica 2026 94(4), 1171-1208
This paper explores the impact of information design on the auctioneer's revenue in the U.S. offshore oil/gas lease auctions where, post‐auction, the winner decides whether to explore the auctioned tract and must pay the government a royalty on its production value. I first document that there is a positive correlation between the exploration rate and publicly observed losing bids. This suggests that the winning bidder uses the rivals' bids to infer their private information about the tract's potential. I then characterize the equilibrium bidding strategy when the auctioneer designs and commits to how to reveal information on losing bids to the winning bidder. Counterfactual exercises reveal that alternative bid disclosure policies significantly improve auctioneer revenue.

The Inference‐Forecast Gap in Belief Updating

Econometrica 2026 94(4), 1279-1312
Evidence from the laboratory and the field has uncovered both underreaction and overreaction to new information. We provide new experimental evidence on the underlying mechanisms of under‐ and overreaction by comparing how people make inferences and revise forecasts in the same information environment. Participants underreact to signals when inferring about underlying states, but overreact to the same signals when revising forecasts about future outcomes—a phenomenon we term “the inference‐forecast gap.” We show that this gap is largely driven by different simplifying heuristics used in the two tasks. Additional treatments suggest that the choice of heuristics is affected by the similarity between statistics in the information environment and the statistic elicited by the belief‐updating problem.