Stability of voting games

This paper generalizes the result of Le Breton and Salles (1990) about stable set (far-sighted core of order 1) for voting games to far-sighted core of arbitrary order. Let m be the number of alternatives, n be the number of voters and G(n,k) be a proper symmetric simple game in which the size of a winning coalition is greater or equal to k. It is shown that the far-sighted core of order d for G(n,k) is nonempty for all preference profiles and for all n and k with n/(n–k)=v ¹ iff m(d+1)(v–1).This paper is part of my dissertation. I am grateful to my thesis advisor Leonid Hurwicz for his guidance and encouragement. I would like to thank Edward Green, Lu Hong, James Jordan, Andrew McLennan, Herve Moulin and Marcel Richter for their very helpful suggestions. Especially a referee and Maurice Salles made many good comments. Of course, any errors that remain are the sole responsibility of the author.     

劳动者同工同酬问题探讨

<劳动合同法>的实施,进一步唤醒了劳动者的劳动权利意识,也进一步提醒用人单位注意严格遵照执行法律规定,预防劳动纠纷法律风险的发生.本文主要针对企业尤其是大型国企用工制度中大量存在的同工不同酬问题,就如何理解法律规定的同工同酬做初步探讨,以期帮助存在这方面问题的企业及时调整政策,规避法律风险.     

Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors

In this paper, we provide some exponential inequalities for extended negatively dependent (END) random variables. By using these exponential inequalities and the truncated method, we investigate the complete consistency for the estimator of nonparametric regression model based on END errors. As an application, the complete consistency for the nearest neighbour estimator is obtained.     

活性白土制备的研究

根据活性白土的活化机理，以广东省南海市某地的膨润土为原料，研究了制备具有较高白度的活性白土的工艺过程，探讨了活化剂种类、浓度与活性白土性能的关系和活性白土的Ｘ－射线衍射、红外光谱的性质．分析了成品的主要化学成份，测定了成品的质量指标．     

General results of complete convergence and complete moment convergence for weighted sums of some class of random variables

ABSTRACT

In the article, the complete convergence and complete moment convergence for weighted sums of sequences of random variables satisfying a maximal Rosenthal type inequality are studied. As an application, the Marcinkiewicz–Zygmund type strong law of large numbers is obtained. Our partial results generalize and improve the corresponding ones of Shen (2013 Shen, A.T. (2013). On strong convergence for weighted sums of a class of random variables. Abstr. Appl. Anal.2013, Article ID 216236: 1–7. [Google Scholar]).