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Toward a General Theory of Peer Effects

Econometrica 2024 92(2), 543-565 open access
There is substantial empirical evidence showing that peer effects matter in many activities. The workhorse model in empirical work on peer effects is the linear‐in‐means (LIM) model, whereby it is assumed that agents are linearly affected by the mean action of their peers. We develop a new general model of peer effects that relaxes the linear assumption of the best‐reply functions and the mean peer behavior and that encompasses the spillover, conformist model, and LIM model as special cases. Then, using data on adolescent activities in the United States, we structurally estimate this model. We find that for many activities, individuals do not behave according to the LIM model. We run some counterfactual policies and show that imposing the mean action as an individual social norm is misleading and leads to incorrect policy implications.

Certification Design With Common Values

Econometrica 2024 92(3), 651-686
This paper studies certification design and its implications for information disclosure. Our model features a profit‐maximizing certifier and the seller of a good of unknown quality. We allow for common values as the seller's opportunity cost may depend on the quality of the good. We compare certifier‐optimal with transparency‐maximizing certification design. Certifier‐optimal certification design implements the evidence structure of Dye (1985)—a fraction of sellers acquire information while the remaining sellers are uninformed—and results in partial disclosure to the market. A transparency‐maximizing regulator prefers a less precise signal, which conveys more information to the market through a higher rate of certification and unraveling (Grossman (1981), Milgrom (1981)) at the disclosure stage.

Drilling Deadlines and Oil and Gas Development

Econometrica 2024 92(1), 29-60 open access
Oil and gas leases between mineral owners and extraction firms typically specify a date by which the firm must either drill a well or lose the lease. These deadlines are known as primary terms. Using data from the Louisiana shale boom, we first show that well drilling is substantially bunched just before the primary term deadline. This bunching is not necessarily surplus‐reducing: using an estimated model of firms' drilling and input choices, we show that primary terms can increase total surplus by countering the effects of leases' royalties, as royalties are a tax on revenue and delay drilling. These benefits are reduced, however, when production outcomes are sensitive to drilling inputs and when drilling one well indefinitely extends the period of time during which additional wells may be drilled. We enrich the model to consider mineral owners' lease offers and find small effects of primary terms on owners' revenue.

Designing Disability Insurance Reforms: Tightening Eligibility Rules or Reducing Benefits?

Econometrica 2024 92(1), 79-110 open access
This paper develops a sufficient statistics framework for analyzing the welfare effects of disability insurance (DI). We derive social‐optimality conditions for the two main DI policy parameters: (i) eligibility rules and (ii) benefit levels. Applying this framework to two restrictive DI reforms in Austria, we find that tighter DI eligibility rules triggered higher fiscal cost savings and lower insurance losses. Hence, tighter DI eligibility rules dominate DI benefit reductions in scaling back the Austrian DI system.

Comparative Statics With Linear Objectives: Normality, Complementarity, and Ranking Multi‐Prior Beliefs

Econometrica 2024 92(1), 167-200 open access
We formulate an order over constraint sets <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mi>A</mi> <mo>⊆</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mrow> <mi>ℓ</mi> </mrow> </msup> </math>, called the parallelogram order , which guarantees that argmin p ⋅ x : x ∈ A increases in the product order as A increases in the parallelogram order, for any vector <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mi>p</mi> <mo>∈</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mrow> <mi>ℓ</mi> </mrow> </msup> </math>. Using this result, we characterize the utility/production functions that lead to normal demand as well as the closely related class of production functions with marginal costs that increase with factor prices. By generalizing the concept of supermodularity, we also characterize the class of production functions for which factors are complements. In the context of decision‐making under uncertainty, our new set order leads to natural generalizations of first‐order stochastic dominance in multi‐prior models.

Identification and Estimation in Many‐to‐One Two‐Sided Matching Without Transfers

Econometrica 2024 92(3), 749-774 open access
In a setting of many‐to‐one two‐sided matching with nontransferable utilities, for example, college admissions, we study conditions under which preferences of both sides are identified with data on one single market. Regardless of whether the market is centralized or decentralized, assuming that the observed matching is stable, we show nonparametric identification of preferences of both sides under certain exclusion restrictions. To take our results to the data, we use Monte Carlo simulations to evaluate different estimators, including the ones that are directly constructed from the identification. We find that a parametric Bayesian approach with a Gibbs sampler works well in realistically sized problems. Finally, we illustrate our methodology in decentralized admissions to public and private schools in Chile and conduct a counterfactual analysis of an affirmative action policy.

On the Structure of Informationally Robust Optimal Mechanisms

Econometrica 2024 92(5), 1391-1438 open access
We study the design of optimal mechanisms when the designer is uncertain both about the form of information held by the agents and also about which equilibrium will be played. The guarantee of a mechanism is its worst performance across all information structures and equilibria. The potential of an information structure is its best performance across all mechanisms and equilibria. We formulate a pair of linear programs, one of which is a lower bound on the maximum guarantee across all mechanisms, and the other of which is an upper bound on the minimum potential across all information structures. In applications to public expenditure, bilateral trade, and optimal auctions, we use the bounding programs to characterize guarantee‐maximizing mechanisms and potential‐minimizing information structures and show that the max guarantee is equal to the min potential.

Sequentially Stable Outcomes

Econometrica 2024 92(4), 1097-1134 open access
This paper introduces and analyzes sequentially stable outcomes in extensive‐form games. An outcome ω is sequentially stable if, for any ε > 0 and any small enough perturbation of the players' behavior, there is an ε ‐perturbation of the players' payoffs and a corresponding equilibrium with outcome close to ω . Sequentially stable outcomes exist for all finite games and are outcomes of sequential equilibria. They are closely related to stable sets of equilibria and satisfy versions of forward induction, iterated strict equilibrium dominance, and invariance to simultaneous moves. In signaling games, sequentially stable outcomes pass the standard selection criteria, and when payoffs are generic, they coincide with outcomes of stable sets of equilibria.

Caution and Reference Effects

Econometrica 2024 92(6), 2069-2103 open access
We introduce Cautious Utility, a new model based on the idea that individuals are unsure of trade‐offs between goods and apply caution. The model yields an endowment effect, even when gains and losses are treated symmetrically. Moreover, it implies either loss aversion or loss neutrality for risk, but in a way unrelated to the endowment effect, and it captures the certainty effect, providing a novel unified explanation of all three phenomena. Cautious Utility can help organize empirical evidence, including some that directly contradicts leading alternatives.