Social and Behavioral Sciences Commons^™

Selling Impressions: Efficiency Vs. Competition, Dirk Bergemann, Tibor Heumann, Stephen Morris, Constantine Sorokin, Eyal Winter

Cowles Foundation Discussion Papers

In digital advertising, a publisher selling impressions faces a trade-o¤ in deciding how precisely to match advertisers with viewers. A more precise match generates efficiency gains that the publisher can hope to exploit. A coarser match will generate a thicker market and thus more competition. The publisher can control the precision of the match by controlling the amount of information that advertisers have about viewers. We characterize the optimal trade-off when impressions are sold by auction. The publisher pools premium matches for advertisers (when there will be less competition on average) but gives advertisers full information about lower quality matches.

Learning Efficiency Of Multi-Agent Information Structures, Mira Frick, Ryota Iijima, Yuhta Ishii

Cowles Foundation Discussion Papers

We study settings in which, prior to playing an incomplete information game, players observe many draws of private signals about the state from some information structure. Signals are i.i.d. across draws, but may display arbitrary correlation across players. For each information structure, we define a simple learning efficiency index, which only considers the statistical distance between the worst-informed player’s marginal signal distributions in different states. We show, first, that this index characterizes the speed of common learning (Cripps, Ely, Mailath, and Samuelson, 2008): In particular, the speed at which players achieve approximate common knowledge of the state coincides with the …

Learning Efficiency Of Multi-Agent Information Structures, Mira Frick, Ryota Iijima, Yuhta Ishii

Cowles Foundation Discussion Papers

We study settings in which, prior to playing an incomplete information game, players observe many draws of private signals about the state from some information structure. Signals are i.i.d. across draws, but may display arbitrary correlation across players. For each information structure, we define a simple learning efficiency index, which only considers the statistical distance between the worst-informed player’s marginal signal distributions in different states. We show, first, that this index characterizes the speed of common learning (Cripps, Ely, Mailath, and Samuelson, 2008): In particular, the speed at which players achieve approximate common knowledge of the state coincides with the …

Information Markets And Nonmarkets, Dirk Bergemann, Marco Ottaviani

Cowles Foundation Discussion Papers

As large amounts of data become available and can be communicated more easily and processed more e¤ectively, information has come to play a central role for economic activity and welfare in our age. This essay overviews contributions to the industrial organization of information markets and nonmarkets, while attempting to maintain a balance between foundational frameworks and more recent developments. We start by reviewing mechanism-design approaches to modeling the trade of information. We then cover ratings, predictions, and recommender systems. We turn to forecasting contests, prediction markets, and other institutions designed for collecting and aggregating information from decentralized participants. Finally, we …

Experimental Persuasion, Ian Ball, José-Antonio Espín-Sánchez

Cowles Foundation Discussion Papers

We introduce experimental persuasion between Sender and Receiver. Sender chooses an experiment to perform from a feasible set of experiments. Receiver observes the realization of this experiment and chooses an action. We characterize optimal persuasion in this baseline regime and in an alternative regime in which Sender can commit to garble the outcome of the experiment. Our model includes Bayesian persuasion as the special case in which every experiment is feasible; however, our analysis does not require concavification. Since we focus on experiments rather than beliefs, we can accommodate general preferences including costly experiments and non-Bayesian inference.

Corrective Regulation With Imperfect Instruments, Eduardo Dávila, Ansgar Walther

Cowles Foundation Discussion Papers

This paper studies the optimal design of second-best corrective regulation, when some agents or activities cannot be perfectly regulated. We show that policy elasticities and Pigouvian wedges are sufficient statistics to characterize the marginal welfare impact of regulatory policies in a large class of environments. We show that the optimal second-best policy is determined by a subset of policy elasticities: leakage elasticities, and characterize the marginal value of relaxing regulatory constraints. We apply our results to scenarios with unregulated agents/activities and with uniform regulation across agents/activities. We illustrate our results in applications to shadow banking, scale-invariant regulation, asset substitution, and …

Holding Up Green Energy, Nicholas Ryan

Cowles Foundation Discussion Papers

Green energy is produced by relationship-specific assets that are vulnerable to hold-up if contracts are not strictly enforced. I study the role of counterparty risk in the procurement of green energy using data on the universe of solar procurement auctions in India. The Indian context allows clean estimates of how risk affects procurement, because solar power plants set up in the same states, by the same firms, are procured in auctions variously intermediated by either risky states themselves or the central government. I find that: (i) the counterparty risk of an average state increases solar energy prices by 10%; (ii) …

Nonlinear Pricing With Finite Information, Dirk Bergemann, Edmund M. Yeh, Jinkun Zhang

Cowles Foundation Discussion Papers

We analyze nonlinear pricing with finite information. We consider a multi-product environment where each buyer has preferences over a d-dimensional variety of goods. The seller is limited to offering a finite number n of d-dimensional choices. The limited menu reflects a finite communication capacity between the buyer and seller. We identify necessary conditions that the optimal finite menu must satisfy, for either the socially efficient or the revenue-maximizing mechanism. These conditions require that information be bundled, or "quantized," optimally. We introduce vector quantization and establish that the losses due to finite menus converge to zero at a rate …

Curse Of Democracy: Evidence From The 21st Century, Yusuke Narita, Ayumi Sudo

Cowles Foundation Discussion Papers

Democracy is widely believed to contribute to economic growth and public health. However, we find that this conventional wisdom is no longer true and even reversed; democracy has persistent negative impacts on GDP growth since the beginning of this century. This finding emerges from five different instrumental variable strategies. Our analysis suggests that democracies cause slower growth through less investment, less trade, and slower value-added growth in manufacturing and services. For 2020, democracy is also found to cause more deaths from Covid-19.

Learning Efficiency Of Multi-Agent Information Structures, Mira Frick, Ryota Iijima, Yuhta Ishii

Cowles Foundation Discussion Papers

We study which multi-agent information structures are more effective at eliminating both first-order and higher-order uncertainty, and hence at facilitating efficient play in incomplete-information coordination games. We consider a learning setting à la Cripps, Ely, Mailath, and Samuelson (2008) where players have access to many private signal draws from an information structure. First, we characterize the rate at which players achieve approximate common knowledge of the state, based on a simple learning efficiency index. Notably, this coincides with the rate at which players’ first-order uncertainty vanishes, as higher-order uncertainty becomes negligible relative to first-order uncertainty after enough signal draws. Based …

Selling Impressions: Efficiency Vs. Competition, Dirk Bergemann, Tibor Heumann, Stephen Morris

Cowles Foundation Discussion Papers

In digital advertising, a publisher selling impressions faces a trade-off in deciding how precisely to match advertisers with viewers. A more precise match generates efficiency gains that the publisher can hope to exploit. A coarser match will generate a thicker market and thus more competition. The publisher can control the precision of the match by controlling the amount of information that advertisers have about viewers. We characterize the optimal trade-off when impressions are sold by auction. The publisher pools premium matches for advertisers (when there will be less competition on average) but gives advertisers full information about lower quality matches.

Long Term Effects Of Cash Transfer Programs In Colombia, Orazio Attanasio, Lina Cardona-Sosa, Carlos Medina, Costas Meghir, Christian Posso

Cowles Foundation Discussion Papers

Conditional Cash transfer (CCT) programs have been shown to have positive effects on a variety of outcomes including education, consumption and health visits, amongst others. We estimate the long-run impacts of the urban version of Familias en Acción, the Colombian CCT program on crime, teenage pregnancy, high school dropout and college enrollment using a Regression Discontinuity design on administrative data. ITT estimates show a reduction on arrest rates of 2.7pp for men and a reduction on teenage pregnancy of 2.3pp for women. High school dropout rates were reduced by 5.8pp and college enrollment was increased by 1.7pp for men.

The Optimality Of Upgrade Pricing, Dirk Bergemann, Alessandro Bonatti, Andreas Haupt, Alex Smolin

Cowles Foundation Discussion Papers

We consider a multiproduct monopoly pricing model. We provide sufficient conditions under which the optimal mechanism can be implemented via upgrade pricing—a menu of product bundles that are nested in the strong set order. Our approach exploits duality methods to identify conditions on the distribution of consumer types under which (a) each product is purchased by the same set of buyers as under separate monopoly pricing (though the transfers can be different), and (b) these sets are nested. We exhibit two distinct sets of sufficient conditions. The first set of conditions is given by a weak version of monotonicity of …

The Optimality Of Upgrade Pricing, Dirk Bergemann, Alessandro Bonatti, Andreas Haupt, Alex Smolin

Cowles Foundation Discussion Papers

We consider a multiproduct monopoly pricing model. We provide sufficient conditions under which the optimal mechanism can be implemented via upgrade pricing—a menu of product bundles that are nested in the strong set order. Our approach exploits duality methods to identify conditions on the distribution of consumer types under which (a) each product is purchased by the same set of buyers as under separate monopoly pricing (though the transfers can be different), and (b) these sets are nested. We exhibit two distinct sets of sufficient conditions. The first set of conditions weakens the monotonicity requirement of types and virtual values …

Regression-Adjusted Estimation Of Quantile Treatment Effects Under Covariate-Adaptive Randomizations, Liang Jiang, Peter C. B. Phillips, Yubo Tao, Yichong Zhang

Cowles Foundation Discussion Papers

This paper examines regression-adjusted estimation and inference of unconditional quantile treatment effects (QTEs) under covariate-adaptive randomizations (CARs). Datasets from field experiments usually contain extra baseline covariates in addition to the strata indicators. We propose to incorporate these extra covariates via auxiliary regressions in the estimation and inference of unconditional QTEs. We establish the consistency, limit distribution, and validity of the multiplier bootstrap of the QTE estimator under CARs. The auxiliary regression may be estimated parametrically, nonparametrically, or via regularization when the data are high-dimensional. Even when the auxiliary regression is misspecified, the proposed bootstrap inferential procedure still achieves the nominal …

Climate Club Futures: On The Effectiveness Of Future Climate Clubs, William D. Nordhaus

Cowles Foundation Discussion Papers

A proposal to combat free-riding in international climate agreements is the notion of a “climate club” or coalition of countries to encourage high levels of participation. Empirical models of climate clubs in the early stages relied on the analysis of single-period coalition formation. The results suggested that there were limits on the potential strength of clubs and that it would be difficult to have deep abatement strategies in the club framework. The current work extends the single-period approach to many periods and develops an approach analyzing “supportable policies” to analyze multi-period clubs. The major surprise of the study is the …

What Do Price Equations Say About Future Inflation?, Ray C. Fair

Cowles Foundation Discussion Papers

This paper uses an econometric approach to examine the inflation consequences of the American Rescue Plan Act of 2021. Price equations are estimated and used to forecast future inflation. The main results are: 1) The data suggest that price equations should be specified in level form rather than in first or second difference form. 2) There is some slight evidence of nonlinear demand effects on prices. 3) There is no evidence that demand effects have gotten smaller over time. 4) The stimulus from the act combined with large wealth effects from past household savings, rising stock prices, and rising housing …

Heterogeneity And Aggregate Fluctuations, Minsu Chang, Xiaohong Chen, Frank Schorfheide

Cowles Foundation Discussion Papers

We develop a state-space model with a state-transition equation that takes the form of a functional vector autoregression and stacks macroeconomic aggregates and a cross-sectional density. The measurement equation captures the error in estimating log densities from repeated cross-sectional samples. The log densities and the transition kernels in the law of motion of the states are approximated by sieves, which leads to a nite-dimensional representation in terms of macroeconomic aggregates and sieve coefficients. We use this model to study the joint dynamics of technology shocks, per capita GDP, employment rates, and the earnings distribution. We nd that the estimated spillovers …

Calibrated Click-Through Auctions: An Information Design Approach, Dirk Bergemann, Paul Duetting, Renato Paes Leme, Song Zuo

Cowles Foundation Discussion Papers

We analyze the optimal information design in a click-through auction with fixed valuations per click, but stochastic click-through rates. While the auctioneer takes as given the auction rule of the click-through auction, namely the generalized second-price auction, the auctioneer can design the information flow regarding the click-through rates among the bidders. A natural requirement in this context is to ask for the information structure to be calibrated in the learning sense. With this constraint, the auction needs to rank the ads by a product of the bid and an unbiased estimator of the click-through rates, and the task of designing …

Normalizing Community Mask-Wearing: A Cluster Randomized Trial In Bangladesh, Jason Abaluck, Laura H. Kwong, Ashley Styczynski, Ashraful Haque, Md. Alamgir Kabir, Ellen Bates-Jeffries, Emily Crawford, Jade Benjamin-Chung, Salim Benhachmi, Shabib Raihan, Shadman Rahman, Neeti Zaman, Peter J. Winch, Md. Maqsud Hossain, Hasan Mahmud Reza, Stephen P. Luby, Ahmed Musfiq Mobarak

Cowles Foundation Discussion Papers

Background: A growing body of scientific evidence suggests that face masks can slow the spread of COVID-19 and save lives, but mask usage remains low across many parts of the world, and strategies to increase mask usage remain untested and unclear. Methods: We conducted a cluster-randomized trial of community-level mask promotion in rural Bangladesh involving 341,830 adults in 600 villages. We employed a series of strategies to promote mask usage, including free household distribution of surgical or cloth masks, distribution and promotion at markets and mosques, mask advocacy by Imams during Friday prayers, role modeling by local leaders, promoters …

The Impact Of Community Masking On Covid-19: A Cluster Randomized Trial In Bangladesh, Jason Abaluck, Laura H. Kwong, Ashley Styczynski, Ashraful Haque, Md. Alamgir Kabir, Ellen Bates-Jeffries, Emily Crawford, Jade Benjamin-Chung, Shabib Raihan, Shadman Rahman, Salim Benhachmi, Neeti Zaman, Peter J. Winch, Md. Maqsud Hossain, Hasan Mahmud Reza, Abdullah All Jaber, Shawkee Gulshan Momen, Faika Laz Bani, Aura Rahman, Tahrima Saiha Huq, Stephen P. Luby, Ahmed Mushfiq Mobarak

Cowles Foundation Discussion Papers

Background: Mask usage remains low across many parts of the world during the COVID- 19 pandemic, and strategies to increase mask-wearing remain untested. Our objectives were to identify strategies that can persistently increase mask-wearing and assess the impact of increasing mask-wearing on symptomatic SARS-CoV-2 infections. Methods: We conducted a cluster-randomized trial of community-level mask promotion in rural Bangladesh from November 2020 to April 2021 (N=600 villages, N=342,126 adults). We cross-randomized mask promotion strategies at the village and household level, including cloth vs. surgical masks. All intervention arms received free masks, information on the importance of masking, role modeling by community …

Algorithm Is Experiment: Machine Learning, Market Design, And Policy Eligibility Rules, Yusuke Narita, Kohei Yata

Cowles Foundation Discussion Papers

Algorithms produce a growing portion of decisions and recommendations both in policy and business. Such algorithmic decisions are natural experiments (conditionally quasirandomly assigned instruments) since the algorithms make decisions based only on observable input variables. We use this observation to develop a treatment-effect estimator for a class of stochastic and deterministic algorithms. Our estimator is shown to be consistent and asymptotically normal for well-defined causal effects. A key special case of our estimator is a high-dimensional regression discontinuity design. The proofs use tools from differential geometry and geometric measure theory, which may be of independent interest.

The practical performance of …

Curse Of Democracy: Evidence From 2020, Yusuke Narita, Ayumi Sudo

Cowles Foundation Discussion Papers

Countries with more democratic political regimes experienced greater GDP loss and more deaths from Covid-19 in 2020. Using five different instrumental variable strategies, we find that democracy is a major cause of the wealth and health losses. This impact is global and is not driven by China and the US alone. A key channel for democracy’s negative impact is weaker and narrower containment policies at the beginning of the outbreak, not the speed of introducing policies.

Measuring The U.S. Employment Situation Using Online Panels: The Yale Labor Survey, Christopher Foote, Tyler Hounshell, William D. Nordhaus, Douglas Rivers, Pamela Torola

Cowles Foundation Discussion Papers

This study presents the design and results of a rapid-fire survey that collects labor market data for individuals in the United States. The purpose is to test online panels for their application to social, economic, and demographic information as well as to apply this approach to the U.S. labor market. The Yale Labor Survey (YLS) used an online panel from YouGov to replicate statistics from the Current Population Survey (CPS), the government’s official source of household labor market statistics. The YLS’s advantages included its timeliness, low cost, and ability to develop new questions quickly to study unusual labor market patterns …

Distributional Impacts Of Retail Vaccine Availability, Judith A. Chevalier, Jason L. Schwartz, Yihua Su, Kevin R. Williams

Cowles Foundation Discussion Papers

We examine the potential for exploiting retailer location choice in targeting health interventions. Using geospatial data, we quantify proximity to vaccines created by a U.S. federal program distributing COVID-19 vaccines to commercial retail pharmacies. We assess the distributional impacts of a proposal to provide vaccines at Dollar General, a low-priced general merchandise retailer. Adding Dollar General to the federal program would substantially decrease the distance to vaccine sites for low-income, rural, and minority U.S. households, groups for which COVID-19 vaccine take-up has been disproportionately slow.

Retrospective Voting Versus Risk-Aversion Voting: A Comment On Pástor And Veronesi (2020), Ray C. Fair

Cowles Foundation Discussion Papers

According to retrospective voting, a bad economy hurts the incumbent party and vice versa. According to risk-aversion voting as discussed in Pástor and Veronesi (2020), high risk aversion favors the Democrats over the Republicans and vice versa. If high risk aversion is associated with a bad economy, then risk-aversion voting implies that a bad economy favors the Democrats and vice versa. The two theories thus have different implications for the Democrats. This paper tests both theories under the assumption that high risk aversion is associated with a bad economy. The results provide no support for risk-aversion voting under this assumption.

Retrospective Voting Versus Risk-Aversion Voting, Ray C. Fair

Cowles Foundation Discussion Papers

According to retrospective voting a bad economy hurts the incumbent party and vice versa. According to risk-aversion voting a bad economy favors the Democrats over the Republicans and vice versa. This paper provides a test of both theories and rejects risk-aversion voting.

Kant And Lindahl, John E. Roemer, Joaquim Silvestre

Cowles Foundation Discussion Papers

Wicksell (1896) and Lindahl (1919) analyzed the public provision of public goods through parliamentary negotiation. Roemer (2010, 2019) applied Kant’s (1785) categorical imperative to the private provision of public goods by voluntary contributions. They coincide in yielding efficient outcomes. Our focal equilibrium notions are the Multiplicative Kantian Equilibrium in the Kant-Roemer modelling and the Balanced Linear Cost Share Equilibrium for the Wicksell-Lindahl approach. It turns out that both are defined by the same individual optimization problem, and that costs are distributed according to marginal valuation, what we call the Lindahl Ratio. More general versions of the Wicksell-Lindahl and Kant-Roemer models …

Are Stock Returns And Output Growth Higher Under Democrats?, Ray C. Fair

Cowles Foundation Discussion Papers

Recent literature suggests that both stock returns and economic growth are significantly higher under Democratic presidential administrations. This is a puzzle in that persistent differences in stock returns seem unlikely in efficient markets, and it is not obvious why Democrats should do better. Often these kinds of results go away upon further analysis or more data, and this appears to be true in the present case. In this paper the sample is extended to 27 administrations, from Wilson-1 through Trump. While the mean stock return under the Democrats is generally higher, none of the differences in means are significant at …

Survival Pessimism And The Demand For Annuities, Cormac O'Dea, David Sturrock

Cowles Foundation Discussion Papers

The “annuity puzzle” refers to the fact that annuities are rarely purchased despite the longevity insurance they provide. Most explanations for this puzzle assume that individuals have accurate expectations about their future survival. We provide evidence that individuals misperceive their mortality risk, and study the demand for annuities in a setting where annuities are priced by insurers on the basis of objectively-measured survival probabilities but in which individuals make purchasing decisions based on their own subjective survival probabilities. Subjective expectations have the capacity to explain significant rates of non-annuitization, yielding a quantitatively important explanation for the annuity puzzle.