Open core and quasi-equilibria with lower semi-continuous preferences

Summary. This note introduces a new concept of core –open core, using which it shows a quasi-equilibrium existence result in an economy where consumers' preference relations are assumed to be lower semi-continuous, but not necessarily to have open lower sections nor to be open valued, such as the lexicographic ordering. As an application, a competitive equilibrium existence result without non-satiation assumption is proved. Received: October 28, 1996; revised version: November 4, 1997     

Effects of runoff voting rules on number of parties and candidates' political experience: Evidence from a law change in Peru

We study the effect of a change in electoral rules on political competition, measured by the number of candidates and their political experience. We explore the effects of a change in legislation, introduced a year before the gubernatorial elections in Peru on the number of parties that participated in these elections. We also investigate how the legislative change affected the political experience of the candidates. Given that the legislative change did not apply to elections for provincial mayors, we use those elections as a control group, in a difference-in-differences design. Our estimates show the number of parties registered increased by a margin of around 2.2 after the legislative change. The change also increased the candidates' years of accumulated political experience, particularly in the subsequent gubernatorial elections.     

A note on the “size” of determinacy and indeterminacy

Summary. It is shown in this note that in an incomplete markets economy with uncountably many states of the world there may be uncountably many isolated equilibria as well as uncountably many non-isolated equilibria. Moreover, both subsets can be simultaneously of second category. Therefore, none of the subsets can be considered negligible with respect to the other, neither from a cardinality point of view nor from a topological one. Unfortunately, this fact prevents from claiming that these economies may have “typically” determinate equilibria – even though uncountably many of them – as would have been desirable for comparative statics exercises. Received: May 19, 1995; revised version: March 24, 1997     

Rubinstein bargaining with two-sided outside options

Summary. In this note we show that if in the standard Rubinstein model both players are allowed to leave the negotiation after a rejection, in which case they obtain a payoff of zero, then there exist a continuum of subgame-perfect equilibrium outcomes, including some which involve significant delay. We also fully characterize the case in which, upon quitting, the players can take an outside option of positive value. Received: February 27, 1996; revised version: March 28, 1997     

我国各地金融发展差异的司法解释

本文选取律师及律师事务所的数量作为衡量司法水准的指标,利用我国20个省份1995～2000年间的数据,通过面板技术检验了法与金融理论所强调的"法律对于金融发展是重要的"观点是否适用于我国.结果表明,司法水准对于各地的金融发展差异具有一定的解释力.     

A GM(1,1)–Markov chain combined model with an application to predict the number of Chinese international airlines

In this paper, we propose a new dynamic analysis model which combines the first-order one-variable grey differential equation model (abbreviated as GM(1,1) model) from grey system theory and Markov chain model from stochastic process theory. We abbreviate the combined GM(1,1)–Markov chain (MC) model as MCGM(1,1) model. This combined model takes advantage of the high predictable power of GM(1,1) model and at the same time take advantage of the prediction power of Markov chain modelling on the discretized states based on the GM(1,1) modelling residual sequence. For prediction accuracy improvements, Taylor approximation is applied to MCGM(1,1) model. We call the improved version as T-MCGM(1,1) model. As an example, we use the statistical data of the number of Chinese international airlines from 1985 to 2003 for a validation of the effectiveness of the T-MCGM(1,1) model.     

Uniqueness of the index for Nash equilibria of two-player games

Summary. Given a map whose roots are the Nash equilibria of a game, each component of the equilibrium set has an associated index, defined as the local degree of the map. This note shows that for a two-player game, every map with the same roots induces the same index. Moreover, this index agrees with the Shapley index constructed from the Lemke-Howson algorithm. Received: May 30, 1996; revised version June 25, 1996     

货车集结参数的研究

全站的货车集结参数与每个去向的货车集结参数不等,这一现象说明货车集结参数的计算方式存在一些不合理性。经过分析推理,提出新的计算公式,并用集结参数的物理意义验证其正确性。将该公式应用于六盘水南站,说明其实际合理性。     

Social welfare orderings for ratio-scale measurable utilities

Summary. This article characterizes all of the continuous social welfare orderings which satisfy the Weak (resp. Strong) Pareto principle when utilities are ratio-scale measurable. With Weak Pareto, on both the nonnegative and positive orthants the social welfare ordering must be representable by a weakly increasing Cobb-Douglas social welfare function while on the whole Euclidean space the social welfare ordering must be strongly dictatorial. With Strong Pareto, on the positive orthant the social welfare ordering must be representable by a strictly increasing Cobb-Douglas social welfare function but on the other two domains an impossibility theorem is obtained. Received: July 31, 1995; revised version August 7, 1996     

Kernel-weighted GMM estimators for linear time series models

This paper analyzes the higher-order asymptotic properties of generalized method of moments (GMM) estimators for linear time series models using many lags as instruments. A data-dependent moment selection method based on minimizing the approximate mean squared error is developed. In addition, a new version of the GMM estimator based on kernel-weighted moment conditions is proposed. It is shown that kernel-weighted GMM estimators can reduce the asymptotic bias compared to standard GMM estimators. Kernel weighting also helps to simplify the problem of selecting the optimal number of instruments. A feasible procedure similar to optimal bandwidth selection is proposed for the kernel-weighted GMM estimator.