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Singapore Management University

Research Collection School Of Economics

Robustness

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Full-Text Articles in Social and Behavioral Sciences

Continuous Implementation With Payoff Knowledge, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun Apr 2023

Continuous Implementation With Payoff Knowledge, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun

Research Collection School Of Economics

The literature on robust mechanism design assumes players' knowledge about a fixed payoff environment and investigates global robustness of optimal mechanisms to large changes in the information structure. Acknowledging global robustness as a demanding requirement, we propose continuous implementation as a notion of local robustness. Keeping the assumption of payoff knowledge, we say that an SCF is continuously implementable if there exists a mechanism which yields the outcome close to the desired one for all types close to the planner's initial model. We show that when a generic correlation condition is imposed on the class of interdependent-value environments, any (interim) …


Are Simple Mechanisms Optimal When Agents Are Unsophisticated?, Jiangtao Li, Piotr Dworczak Jul 2021

Are Simple Mechanisms Optimal When Agents Are Unsophisticated?, Jiangtao Li, Piotr Dworczak

Research Collection School Of Economics

We study the design of mechanisms involving agents that have limited strategic sophistication. The literature has identified several notions of simple mechanisms in which agents can determine their optimal strategy even if they lack cognitive skills such as predicting other agents' strategies (strategy-proof mechanisms), contingent reasoning (obviously strategy-proof mechanisms), or foresight (strongly obviously strategy-proof mechanisms). We examine whether it is optimal for the mechanism designer who faces strategically unsophisticated agents to offer a mechanism from the corresponding class of simple mechanisms. We show that when the designer uses a mechanism that is not simple, while she loses the ability to …


Continuous Implementation With Small Transfers, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun Oct 2019

Continuous Implementation With Small Transfers, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun

Research Collection School Of Economics

The robust mechanism design literature investigates the global robustness of op-timal mechanisms to large changes in the environment. Acknowledging the global robustness as an overly demanding requirement, we propose continuous implementa-tion as a local robustness of optimal mechanisms to small changes in the environment. We say that a social choice function is continuously implementable “with small trans-fers” if there exists a mechanism which yields the outcome close to the desired one for all types close to the designer’s initial model. We show that when a generic cor-relation condition is imposed on the class of interdependent values environments, any incentive compatible …


Robust Econometric Inference With Mixed Integrated And Mildly Explosive Regressors, Peter C. B. Phillips, Ji Hyung Lee Jun 2016

Robust Econometric Inference With Mixed Integrated And Mildly Explosive Regressors, Peter C. B. Phillips, Ji Hyung Lee

Research Collection School Of Economics

This paper explores in several prototypical models a convenient inference procedure for nonstationary variable regression that enables robust chi-square testing for a wide class of persistent and endogenous regressors. The approach uses the mechanism of self-generated instruments called IVX instrumentation developed by Magdalinos and Phillips (2009b). We first show that these methods remain valid for regressors with local unit roots in the explosive direction and mildly explosive roots, where the roots are further from unity in the explosive direction than 0 (n(-1)). It is also shown that Wald testing procedures remain robust for multivariate regressors with certain forms of mixed …


Implementation With Transfers, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun Mar 2016

Implementation With Transfers, Yi-Chun Chen, Takashi Kunimoto, Yifei Sun

Research Collection School Of Economics

We say that a social choice rule is implementable with (small) transfers if one candesign a mechanism whose set of equilibrium outcomes coincides with that speciÖed bythe rule but the mechanism allows for (small) ex post transfers among the players. Weshow in private-value environments that any incentive compatible rule is implementablewith small transfers. We obtain this permissive implementation result by proposinga natural extension of Abreu and Matsushima (1994) to incomplete information environments.Furthermore, in order to showcase the applicability of our results, we relatethem to the recent developments in implementation theory. Next we revisit the conjectureby Abreu and Matsushima (1994), who …


Predictive Regression Under Various Degrees Of Persistence And Robust Long-Horizon Regression, Peter C. B. Phillips, Ji Hyung Lee Dec 2013

Predictive Regression Under Various Degrees Of Persistence And Robust Long-Horizon Regression, Peter C. B. Phillips, Ji Hyung Lee

Research Collection School Of Economics

The paper proposes a novel inference procedure for long-horizon predictive regression with persistent regressors, allowing the autoregressive roots to lie in a wide vicinity of unity. The invalidity of conventional tests when regressors are persistent has led to a large literature dealing with inference in predictive regressions with local to unity regressors. Magdalinos and Phillips (2009b) recently developed a new framework of extended IV procedures (IVX) that enables robtist chi-square testing for a wider class of persistent regressors. We extend this robust procedure to an even wider parameter space in the vicinity of unity and apply the methods to long-horizon …


Standardized Lm Tests For Spatial Error Dependence In Linear Or Panel Regressions, Badi H. Baltagi, Zhenlin Yang Feb 2013

Standardized Lm Tests For Spatial Error Dependence In Linear Or Panel Regressions, Badi H. Baltagi, Zhenlin Yang

Research Collection School Of Economics

The robustness of the Lagrange Multiplier (LM) tests for spatial error dependence of Burridge (1980) and Born and Breitung (2011) for the linear regression model, and Anselin (1988) and Debarsy and Etur (2010) for the panel regression model with random or fixed effects are examined. While all tests are asymptotically robust against distributional mis‐specification, their finite sample behaviour may be sensitive to the spatial layout. To overcome this shortcoming, standardized LM tests are suggested. Monte Carlo results show that the new tests possess good finite sample properties. An important observation made throughout this study is that the LM tests for …


A Simple And Robust Method Of Inference For Spatial Lag Dependence, Zhenlin Yang, Yan Shen Dec 2011

A Simple And Robust Method Of Inference For Spatial Lag Dependence, Zhenlin Yang, Yan Shen

Research Collection School Of Economics

A simple and reliable method of inference for the spatial parameter in spatial autoregressive models is introduced, based on a statistic obtained by centering and rescaling the numerator of the concentrated Gaussian score function. The resulted tests and confidence intervals are robust against the distributional misspecifications and are insensitive to the spatial layouts and the error standard deviation. In contrast, the standard methods based on Gaussian score and information matrix may lead to inconsistent inference when errors are non normal, and can be quite sensitive to the spatial layouts and the error standard deviation even when errors are normally distributed. …


Standardized Lm Tests For Spatial Error Dependence In Linear Or Panel Regressions, Badi H. Baltagi, Zhenlin Yang Oct 2010

Standardized Lm Tests For Spatial Error Dependence In Linear Or Panel Regressions, Badi H. Baltagi, Zhenlin Yang

Research Collection School Of Economics

The robustness of the LM tests for spatial error dependence of Burridge (1980) for the linear regression model and Anselin (1988) for the panel regression model are examined. While both tests are asymptotic ally robust against distributional misspecification, their finite sample behavior can be sensitive to the spatial layout. To overcome this shortcoming, standardized LM tests are suggested. Monte Carlo results show that the new tests possess good finite sample properties. An important observation made throughout this study is that the LM tests for spatial dependence need to be both mean- and variance-adjusted for good finite sample performance to be …


A Robust Lm Test For Spatial Error Components, Zhenlin Yang Sep 2010

A Robust Lm Test For Spatial Error Components, Zhenlin Yang

Research Collection School Of Economics

This paper presents previous termanext term modified previous termLM test of spatial error components,next term which is shown to be previous termrobustnext term against distributional misspecifications and previous termspatialnext term layouts. The proposed previous termtestnext term differs from the previous termLM testnext term of Anselin (2001) by previous termanext term term in the denominators of the previous termtestnext term statistics. This term disappears when either the previous termerrorsnext term are normal, or the variance of the diagonal elements of the product of previous termspatialnext term weights matrix and its transpose is zero or approaches to zero as sample size goes …


How Robust Is Undominated Nash Implementation?, Takashi Kunimoto Jun 2010

How Robust Is Undominated Nash Implementation?, Takashi Kunimoto

Research Collection School Of Economics

Palfrey and Srivastava (1991) show that almost any social choice correspondence(SCC) is implemented in undominated Nash equilibrium, a refinement of Nash equilibrium. By requiring solution concepts to have closed graph in the limit of complete information, Chung and Ely (2003) investigate the robustness of undominated Nash implementation. Their robustness test concludes that when preferences are strict (or more generally, hedonic), only monotonic SCCs can be implemented in the closure of the undominated Nash (equilibrium) correspondence. This paper re-examines this robustness test. I show that almost any SCC is implemented in the closure of the undominated Nash correspondence, provided that the …


A Robust Lm Test For Spatial Error Components, Zhenlin Yang Jan 2009

A Robust Lm Test For Spatial Error Components, Zhenlin Yang

Research Collection School Of Economics

This paper presents a modified LM test of spatial error components, which is shown to be robust against distributional misspecifications and spatial layouts. The proposed test differs from the LM test of Anselin (2001) by a term in the denominators of the test statistics. This term disappears when either the errors are normal, or the variance of the diagonal elements of the product of spatial weights matrix and its transpose is zero or approaches to zero as sample size goes large. When neither is true, as is often the case in practice, the effect of this term can be significant …


On Joint Modelling And Testing For Local And Global Spatial Externalities, Zhenlin Yang Oct 2006

On Joint Modelling And Testing For Local And Global Spatial Externalities, Zhenlin Yang

Research Collection School Of Economics

This paper concerns the joint modeling, estimation and testing for local and global spatial externalities. Spatial externalities have become in recent years a standard notion of economic research activities in relation to social interactions, spatial spillovers and dependence, etc., and have received an increasing attention by econometricians and applied researchers. While conceptually the principle underlying the spatial dependence is straightforward, the precise way in which this dependence should be included in a regression model is complex. Following the taxonomy of Anselin (2003, International Regional Science Review 26, 153-166), a general model is proposed, which takes into account jointly local and …