We study the joint design of dynamic incentives and performance feedback for an environment with a coarse (all-or-nothing) measure of performance, and show that hiding information from the agent can be an optimal way to motivate effort. Using a novel approach to incentive compatibility, we derive a two-phase solution that begins with a “silent phase” where the agent is given no feedback and is asked to work non-stop, and ends with a “full-transparency phase” where the agent stops working as soon as a performance threshold is met. Hiding information leads to greater effort, but an ignorant agent is also more expensive to motivate. The two-phase solution—where the agent's ignorance is fully frontloaded—stems from a “backward compounding effect” that raises the cost of hiding information as time passes.
{"title":"Feedback Design in Dynamic Moral Hazard","authors":"Jeffrey C. Ely, George Georgiadis, Luis Rayo","doi":"10.3982/ECTA21871","DOIUrl":"https://doi.org/10.3982/ECTA21871","url":null,"abstract":"<div>\u0000 \t\t\t<p>We study the joint design of dynamic incentives and performance feedback for an environment with a coarse (all-or-nothing) measure of performance, and show that hiding information from the agent can be an optimal way to motivate effort. Using a novel approach to incentive compatibility, we derive a two-phase solution that begins with a “silent phase” where the agent is given no feedback and is asked to work non-stop, and ends with a “full-transparency phase” where the agent stops working as soon as a performance threshold is met. Hiding information leads to greater effort, but an ignorant agent is also more expensive to motivate. The two-phase solution—where the agent's ignorance is fully frontloaded—stems from a “backward compounding effect” that raises the cost of hiding information as time passes.</p>\u0000 \t\t</div>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 2","pages":"597-621"},"PeriodicalIF":6.6,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.3982/ECTA21871","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jonas E. Arias, Juan F. Rubio-Ramírez, Daniel F. Waggoner
There has been a call for caution regarding the standard procedure for Bayesian inference in set-identified structural vector autoregressions on the grounds that the common practice of using a uniform prior over the set of orthogonal matrices induces a non-uniform prior for individual impulse responses or other quantities of interest. This paper challenges this call by formally showing that when the focus is on joint inference, the uniform prior over the set of orthogonal matrices is not only sufficient but also necessary for inference based on a uniform joint prior distribution over the identified set for the vector of impulse responses. In addition, we show how to conduct inference based on a uniform joint prior distribution for the vector of impulse responses.
{"title":"Uniform Priors for Impulse Responses","authors":"Jonas E. Arias, Juan F. Rubio-Ramírez, Daniel F. Waggoner","doi":"10.3982/ECTA21101","DOIUrl":"https://doi.org/10.3982/ECTA21101","url":null,"abstract":"<p>There has been a call for caution regarding the standard procedure for Bayesian inference in set-identified structural vector autoregressions on the grounds that the common practice of using a uniform prior over the set of orthogonal matrices induces a non-uniform prior for individual impulse responses or other quantities of interest. This paper challenges this call by formally showing that when the focus is on joint inference, the uniform prior over the set of orthogonal matrices is not only sufficient but also necessary for inference based on a uniform joint prior distribution over the identified set for the vector of impulse responses. In addition, we show how to conduct inference based on a uniform joint prior distribution for the vector of impulse responses.</p>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 2","pages":"695-718"},"PeriodicalIF":6.6,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We conduct a series of experiments and document a robust behavioral pattern whereby people behave more morally in uncertain environments than degenerate deterministic ones. We show that this pattern is weakened when the moral implication of behavior is diminished or when uncertainty pertains to others rather than oneself. These findings are incompatible with standard models that respect dominance. We propose a mechanism based on the anxiety aspect of uncertain environments whereby people act morally as if their moral behavior can help deliver a better outcome. We further delve into the complexity aspect of uncertainty to arrive at a more comprehensive understanding of these findings.
{"title":"People Are More Moral in Uncertain Environments","authors":"Yiting Chen, Songfa Zhong","doi":"10.3982/ECTA20574","DOIUrl":"https://doi.org/10.3982/ECTA20574","url":null,"abstract":"<div>\u0000 \t\t\t<p>We conduct a series of experiments and document a robust behavioral pattern whereby people behave more morally in uncertain environments than degenerate deterministic ones. We show that this pattern is weakened when the moral implication of behavior is diminished or when uncertainty pertains to others rather than oneself. These findings are incompatible with standard models that respect dominance. We propose a mechanism based on the anxiety aspect of uncertain environments whereby people act morally as if their moral behavior can help deliver a better outcome. We further delve into the complexity aspect of uncertainty to arrive at a more comprehensive understanding of these findings.</p>\u0000 \t\t</div>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 2","pages":"439-462"},"PeriodicalIF":6.6,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.3982/ECTA20574","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
While the mechanism design paradigm emphasizes notions of efficiency based on agent preferences, policymakers often focus on alternative objectives. School districts emphasize educational achievement, and transplantation communities focus on patient survival. It is unclear whether choice-based mechanisms perform well when assessed based on these outcomes. This paper evaluates the assignment mechanism for allocating deceased donor kidneys on the basis of patient life-years from transplantation (LYFT). We examine the role of choice in increasing LYFT and compare realized assignments to benchmarks that remove choice. Our model combines choices and outcomes in order to study how selection affects LYFT. We show how to identify and estimate the model using instruments derived from the mechanism. The estimates suggest that the design in use selects patients with better post-transplant survival prospects and matches them well, resulting in an average LYFT of 9.29, which is 1.75 years more than a random assignment. However, the maximum aggregate LYFT is 14.08. Realizing the majority of the gains requires transplanting relatively healthy patients, who would have longer life expectancies even without a transplant. Therefore, a policymaker faces a dilemma between transplanting patients who are sicker and those for whom life will be extended the longest.
{"title":"Choices and Outcomes in Assignment Mechanisms: The Allocation of Deceased Donor Kidneys","authors":"Nikhil Agarwal, Charles Hodgson, Paulo Somaini","doi":"10.3982/ECTA20203","DOIUrl":"https://doi.org/10.3982/ECTA20203","url":null,"abstract":"<p>While the mechanism design paradigm emphasizes notions of efficiency based on agent preferences, policymakers often focus on alternative objectives. School districts emphasize educational achievement, and transplantation communities focus on patient survival. It is unclear whether choice-based mechanisms perform well when assessed based on these outcomes. This paper evaluates the assignment mechanism for allocating deceased donor kidneys on the basis of patient life-years from transplantation (LYFT). We examine the role of choice in increasing LYFT and compare realized assignments to benchmarks that remove choice. Our model combines choices and outcomes in order to study how selection affects LYFT. We show how to identify and estimate the model using instruments derived from the mechanism. The estimates suggest that the design in use selects patients with better post-transplant survival prospects and matches them well, resulting in an average LYFT of 9.29, which is 1.75 years more than a random assignment. However, the maximum aggregate LYFT is 14.08. Realizing the majority of the gains requires transplanting relatively healthy patients, who would have longer life expectancies even without a transplant. Therefore, a policymaker faces a dilemma between transplanting patients who are sicker and those for whom life will be extended the longest.</p>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 2","pages":"395-438"},"PeriodicalIF":6.6,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose a double robust Bayesian inference procedure on the average treatment effect (ATE) under unconfoundedness. For our new Bayesian approach, we first adjust the prior distributions of the conditional mean functions, and then correct the posterior distribution of the resulting ATE. Both adjustments make use of pilot estimators motivated by the semiparametric influence function for ATE estimation. We prove asymptotic equivalence of our Bayesian procedure and efficient frequentist ATE estimators by establishing a new semiparametric Bernstein–von Mises theorem under double robustness; that is, the lack of smoothness of conditional mean functions can be compensated by high regularity of the propensity score and vice versa. Consequently, the resulting Bayesian credible sets form confidence intervals with asymptotically exact coverage probability. In simulations, our method provides precise point estimates of the ATE through the posterior mean and delivers credible intervals that closely align with the nominal coverage probability. Furthermore, our approach achieves a shorter interval length in comparison to existing methods. We illustrate our method in an application to the National Supported Work Demonstration following LaLonde (1986) and Dehejia and Wahba (1999).
{"title":"Double Robust Bayesian Inference on Average Treatment Effects","authors":"Christoph Breunig, Ruixuan Liu, Zhengfei Yu","doi":"10.3982/ECTA21442","DOIUrl":"https://doi.org/10.3982/ECTA21442","url":null,"abstract":"<div>\u0000 \t\t\t<p>We propose a double robust Bayesian inference procedure on the average treatment effect (ATE) under unconfoundedness. For our new Bayesian approach, we first adjust the prior distributions of the conditional mean functions, and then correct the posterior distribution of the resulting ATE. Both adjustments make use of pilot estimators motivated by the semiparametric influence function for ATE estimation. We prove asymptotic equivalence of our Bayesian procedure and efficient frequentist ATE estimators by establishing a new semiparametric Bernstein–von Mises theorem under double robustness; that is, the lack of smoothness of conditional mean functions can be compensated by high regularity of the propensity score and vice versa. Consequently, the resulting Bayesian credible sets form confidence intervals with asymptotically exact coverage probability. In simulations, our method provides precise point estimates of the ATE through the posterior mean and delivers credible intervals that closely align with the nominal coverage probability. Furthermore, our approach achieves a shorter interval length in comparison to existing methods. We illustrate our method in an application to the National Supported Work Demonstration following LaLonde (1986) and Dehejia and Wahba (1999).</p>\u0000 \t\t</div>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 2","pages":"539-568"},"PeriodicalIF":6.6,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.3982/ECTA21442","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Welfare depends on the quantity, quality, and range of goods consumed. We use trade data, which report the quantities and prices of the individual goods that countries exchange, to learn about how the gains from trade and growth break down into these different margins. Our general equilibrium model, in which both quality and quantity contribute to consumption and to production, captures (i) how prices increase with importer and exporter per capita income, (ii) how the range of goods traded rises with importer and exporter size, and (iii) how products traveling longer distances have higher prices. Our framework can deliver a standard gravity formulation for total trade flows and for the gains from trade. We find that growth in the extensive margin contributes to about half of overall gains. Quality plays a larger role in the welfare gains from international trade than from economic growth due to selection.
{"title":"The Margins of Trade","authors":"Ana Cecília Fieler, Jonathan Eaton","doi":"10.3982/ECTA17510","DOIUrl":"https://doi.org/10.3982/ECTA17510","url":null,"abstract":"<p>Welfare depends on the quantity, quality, and range of goods consumed. We use trade data, which report the quantities and prices of the individual goods that countries exchange, to learn about how the gains from trade and growth break down into these different margins. Our general equilibrium model, in which both quality and quantity contribute to consumption and to production, captures (i) how prices increase with importer and exporter per capita income, (ii) how the range of goods traded rises with importer and exporter size, and (iii) how products traveling longer distances have higher prices. Our framework can deliver a standard gravity formulation for total trade flows and for the gains from trade. We find that growth in the extensive margin contributes to about half of overall gains. Quality plays a larger role in the welfare gains from international trade than from economic growth due to selection.</p>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 1","pages":"129-160"},"PeriodicalIF":6.6,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Mussa (1986) puzzle is the observation of a sharp and simultaneous increase in the volatility of both nominal and real exchange rates following the end of the Bretton Woods System of pegged exchange rates in 1973. It is commonly viewed as a central piece of evidence in favor of monetary non-neutrality because it is an instance in which a change in the monetary regime caused a dramatic change in the equilibrium behavior of a real variable—the real exchange rate—and is often further interpreted as direct evidence in favor of models with nominal rigidities in price setting. This paper shows that the data do not support this latter conclusion because there was no simultaneous change in the properties of the other macro variables, nominal or real; an extended set of Mussa facts falsifies both conventional flexible-price RBC models and sticky-price New Keynesian models. We present a resolution to the broader Mussa puzzle based on a model of segmented financial market, in which the bulk of the nominal exchange rate risk is held by financial intermediaries and is not shared smoothly throughout the economy, emphasizing the importance of monetary transmission via the risk premium channel.
{"title":"Mussa Puzzle Redux","authors":"Oleg Itskhoki, Dmitry Mukhin","doi":"10.3982/ECTA20849","DOIUrl":"https://doi.org/10.3982/ECTA20849","url":null,"abstract":"<p>The Mussa (1986) puzzle is the observation of a sharp and simultaneous increase in the volatility of both nominal and real exchange rates following the end of the Bretton Woods System of pegged exchange rates in 1973. It is commonly viewed as a central piece of evidence in favor of monetary non-neutrality because it is an instance in which a change in the monetary regime caused a dramatic change in the equilibrium behavior of a <i>real</i> variable—the real exchange rate—and is often further interpreted as direct evidence in favor of models with <i>nominal rigidities</i> in price setting. This paper shows that the data do not support this latter conclusion because there was no simultaneous change in the properties of the other macro variables, nominal or real; an extended set of Mussa facts falsifies both <i>conventional</i> flexible-price RBC models and sticky-price New Keynesian models. We present a resolution to the broader Mussa puzzle based on a model of segmented financial market, in which the bulk of the <i>nominal</i> exchange rate risk is held by financial intermediaries and is not shared smoothly throughout the economy, emphasizing the importance of monetary transmission via the risk premium channel.</p>","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 1","pages":"1-39"},"PeriodicalIF":6.6,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Econometric Society Annual Reports Report of the Editors of the Monograph Series","authors":"","doi":"10.3982/ECTA931MONO","DOIUrl":"https://doi.org/10.3982/ECTA931MONO","url":null,"abstract":"","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 1","pages":"351-353"},"PeriodicalIF":6.6,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Econometric Society Annual Reports Report of the Treasurer","authors":"","doi":"10.3982/ECTA931TREAS","DOIUrl":"https://doi.org/10.3982/ECTA931TREAS","url":null,"abstract":"","PeriodicalId":50556,"journal":{"name":"Econometrica","volume":"93 1","pages":"319-331"},"PeriodicalIF":6.6,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}