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A note on sufficiency in binary panel models

二元面板模型中充分性条件的一则札记

Consider estimating the slope coefficients of a fixed‐effect binary‐choice model from two‐period panel data. Two approaches to semiparametric estimation at the regular parametric rate have been proposed: one is based on a sufficiency requirement, and the other is based on a conditional‐median restriction. We show that, under standard assumptions, both conditions are equivalent.

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Regional Policy Evaluation: Interactive Fixed Effects and Synthetic Controls

区域政策评估:交互固定效应与合成控制

In this paper, we investigate the use of interactive effect or linear factor models in regional policy evaluation. We contrast treatment effect estimates obtained using Bai (2009) with those obtained using difference in differences and synthetic controls (Abadie and coauthors). We show that difference in differences are generically biased, and we derive support conditions for synthetic controls. We construct Monte Carlo experiments to compare these estimation methods in…

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Formal and Informal Risk Sharing in LDCs: Theory and Empirical Evidence

欠发达国家的正式与非正式风险分担:理论与经验证据

We develop and estimate a model of dynamic interactions in which commitment is limited and contracts are incomplete to explain the patterns of income and consumption growth in village economies of less developed countries. Households can insure each other through both formal contracts and informal agreements, that is, self-enforcing agreements specifying voluntary transfers. This theoretical setting nests the case of complete markets and the case where only informal…

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Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data

单调二元模型的部分识别:离散回归量与区间数据

We investigate identification in semi-parametric binary regression models, y = 1(xβ+υ+ε > 0) when υ is either discrete or measured within intervals. The error term ε is assumed to be uncorrelated with a set of instruments z, ε is independent of υ conditionally on x and z, and the support of −(xβ + ε) is finite. We provide a sharp characterization of the set of observationally equivalent parameters β. When there are as many instruments z as variables x, the bounds of the…

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Comment

评论:博弈中偏好与信念参数的识别

The paper by Andres Aradillas-Lopez and Elie Tamer clari…es how identi…cation can be obtained in games and provides techniques to do so.In other words, it o¤ers constructive ways of analyzing either point or set identi…cation of parameters governing the preferences and beliefs of players in di¤erent games.In this short comment, I am trying to highlight the key issues that are brought out by the paper.First, as sometimes alluded to by the authors, one way of reading their…

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Panel Binary Variables and Sufficiency: Generalizing Conditional Logit

面板二元变量与充分性:推广条件 Logit

This paper extends the conditional logit approach (Rasch, Andersen, Chamberlain) used in panel data models of binary variables with correlated fixed effects and strictly exogenous regressors. In a two-period two-state model, necessary and sufficient conditions on the joint distribution function of the individual-and-period specific shocks are given such that the sum of individual binary variables across time is a sufficient statistic for the individual effect. By extending a…

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