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Combinatorial Voting

Econometrica 2012 80(1), 89-141 open access
We study elections that simultaneously decide multiple issues, where voters have independent private values over bundles of issues. The innovation is in considering nonseparable preferences, where issues may be complements or substitutes. Voters face a political exposure problem: the optimal vote for a particular issue will depend on the resolution of the other issues. Moreover, the probabilities that the other issues will pass should be conditioned on being pivotal. We prove that equilibrium exists when distributions over values have full support or when issues are complements. We then study large elections with two issues. There exists a nonempty open set of distributions where the probability of either issue passing fails to converge to either 1 or 0 for all limit equilibria. Thus, the outcomes of large elections are not generically predictable with independent private values, despite the fact that there is no aggregate uncertainty regarding fundamentals. While the Condorcet winner is not necessarily the outcome of a multi-issue election, we provide sufficient conditions that guarantee the implementation of the Condorcet winner. © 2012 The Econometric Society.

Inference of Signs of Interaction Effects in Simultaneous Games With Incomplete Information

Econometrica 2012 80(1), 143-172
This paper studies the inference of interaction effects, i.e. the impacts of players' actions on each other's payoffs, in discrete simultaneous games with incomplete information. We propose an easily implementable test for the signs of state-dependent interaction effects which does not require parametric specifications of players' payoffs, the distributions of their private signals or the equilibrium selection mechanism. The test relies on the commonly invoked assumption that players' private signals are independent conditional on observed states. The procedure is valid in the presence of multiple equilibria and as a by-product we propose a formal test for multiple equilibria in the data-generating process. We provide Monte Carlo evidence of the test's good performance in finite samples. We also implement it to infer the direction of interaction effects in couples' joint retirement decisions using data from the Health and Retirement Study.

Task Trade Between Similar Countries

Econometrica 2012 80(2), 593-629 open access
We propose a theory of task trade between countries that have similar relative factor endowments and technological capabilities, but may differ in size. Firms produce differentiated goods by performing a continuum of tasks, each of which generates local spillovers. Tasks can be performed at home or abroad, but offshoring entails costs that vary by task. In equilibrium, the tasks with the highest offshoring costs may not be traded. Among the remainder, those with the relatively higher offshoring costs are performed in the country that has the higher wage and the higher aggregate output. We discuss the relationship between equilibrium wages, equilibrium outputs, and relative country size.

Costly Self-Control and Random Self-Indulgence

Econometrica 2012 80(3), 1271-1302 open access
We study the random Strotz model, a version of the Strotz (1955) model with uncertainty about the nature of the temptation that will strike. We show that the random Strotz representation is unique and characterize a comparative notion of “more temptation averse.” Also, we demonstrate an unexpected connection between the random Strotz model and a generalization of the Gul–Pesendorfer (GP) (2001) model of temptation which allows for the temptation to be uncertain and which we call random GP. In particular, a preference over menus has a random GP representation if and only if it also has a representation via a random Strotz model with sufficiently smooth uncertainty about the intensity of temptation. We also show that choices of menus combined with choices from menus can distinguish the random GP and random Strotz models.

Perfectionism and Choice

Econometrica 2012 80(5), 1819-1843
Empirical evidence suggests that perfectionism can affect choice behavior. When striving for perfection, a person can desire to keep normatively appealing options feasible even if she persistently fails to use these options later. For instance, she can “pay not to go to the gym,” as in DellaVigna and Malmendier (2006). By contrast, some perfectionists may avoid normatively important tasks for fear of negative self-evaluation of their performance. This paper models perfectionist behaviors in Gul and Pesendorfer's (2001) menu framework where agents may be tempted to deviate from their long-term normative objectives. In addition to self-control costs, I identify a utility component that reflects emotional costs and benefits of perfectionism. My model is derived from axioms imposed on preferences over menus in an essentially unique way.

Identification and Estimation of Average Partial Effects in "Irregular" Correlated Random Coefficient Panel Data Models

Econometrica 2012 80(5), 2105-2152
In this paper we study identification and estimation of a correlated random coefficients (CRC) panel data model. The outcome of interest varies linearly with a vector of endogenous regressors. The coefficients on these regressors are heterogenous across units and may covary with them. We consider the average partial effect (APE) of a small change in the regressor vector on the outcome (cf. Chamberlain (1984), Wooldridge (2005a)). Chamberlain (1992) calculated the semiparametric efficiency bound for the APE in our model and proposed a √N-consistent estimator. Nonsingularity of the APE's information bound, and hence the appropriateness of Chamberlain's (1992) estimator, requires (i) the time dimension of the panel (T) to strictly exceed the number of random coefficients (p) and (ii) strong conditions on the time series properties of the regressor vector. We demonstrate irregular identification of the APE when T = p and for more persistent regressor processes. Our approach exploits the different identifying content of the subpopulations of stayers—or units whose regressor values change little across periods—and movers—or units whose regressor values change substantially across periods. We propose a feasible estimator based on our identification result and characterize its large sample properties. While irregularity precludes our estimator from attaining parametric rates of convergence, its limiting distribution is normal and inference is straightforward to conduct. Standard software may be used to compute point estimates and standard errors. We use our methods to estimate the average elasticity of calorie consumption with respect to total outlay for a sample of poor Nicaraguan households.

Identification and Estimation of Stochastic Bargaining Models

Econometrica 2012 80(4), 1563-1604
Stochastic sequential bargaining models (Merlo and Wilson (1995, 1998)) have found wide applications in different fields including political economy and macroeconomics due to their flexibility in explaining delays in reaching an agreement. This paper presents new results in nonparametric identification and estimation of such models under different data scenarios.

Dynamic Competition With Random Demand and Costless Search: A Theory of Price Posting

Econometrica 2012 80(3), 1185-1247
This paper studies a dynamic model of perfectly competitive price posting under demand uncertainty. Firms must produce output in advance. After observing aggregate sales in prior periods, firms post prices for their unsold output. In each period, the demand of a new batch of consumers is randomly activated. Existing customers who have not yet bought and then new customers arrive at the market in random order, observe the posted prices, and either purchase at the lowest available price or delay their purchase decision. We construct a sequential equilibrium in which the output produced and its allocation across consumers is efficient. Thus consumers endogenously sort themselves efficiently, with the highest valuations purchasing first. Transaction prices in each period rise continuously, as firms become more optimistic about demand, followed by a market correction. By the last period, prices are market clearing.

The Distributive Impact of Reforms in Credit Enforcement: Evidence From Indian Debt Recovery Tribunals

Econometrica 2012 80(2), 497-558
It is generally presumed that stronger legal enforcement of lender rights increases credit access for all borrowers because it expands the set of incentive compatible loan contracts. This result relies on an assumption that the supply of credit is infinitely elastic. In contrast, with inelastic supply, stronger enforcement generates general equilibrium effects that may reduce credit access for small borrowers and expand it for wealthy borrowers. In a firm-level panel, we find evidence that an Indian judicial reform that increased banks' ability to recover nonperforming loans had such an adverse distributive impact.

Capital Mobility and Asset Pricing

Econometrica 2012 80(6), 2469-2509
We present a model for the equilibrium movement of capital between asset markets that are distinguished only by the levels of capital invested in each. Investment in that market with the greatest amount of capital earns the lowest risk premium. Intermediaries optimally trade off the costs of intermediation against fees that depend on the gain they can offer to investors for moving their capital to the market with the higher mean return. The bargaining power of an investor depends on potential access to alternative intermediaries. In equilibrium, the speeds of adjustment of mean returns and of capital between the two markets are increasing in the degree to which capital is imbalanced between the two markets, and can be reduced by competition among intermediaries.