Reconciliation with the Utility of Chance by Elaborated Outcomes Destroys the Axiomatic Basis of Expected Utility Theory

Expected utility theory does not directly deal with the utility of chance. It has been suggested in the literature (Samuelson, 1952, Markowitz, 1959) that this can be remedied by an approach which explicitly models the emotional consequences which give rise to the utility of chance. We refer to this as the elaborated outcomes approach. It is argued that the elaborated outcomes approach destroys the possibility of deriving a representation theorem based on the usual axioms of expected utility theory. This is shown with the help of an example due to Markowitz. It turns out that the space of conceivable lotteries over elaborated outcomes is too narrow to permit the application of the axioms. Moreover it is shown that a representation theorem does not hold for the example.     

Decision Making in `Random in a Broad Sense' Environments

It is shown that the uncertainty connected with a `random in a broad sense' (not necessarily stochastic) event always has some `statistical regularity' (SR) in the form of a family of finite-additive probability distributions. The specific principle of guaranteed result in decision making is introduced. It is shown that observing this principle of guaranteed result leads to determine the one optimality criterion corresponding to a decision system with a given `statistical regularity'.     

Optimal scheduling replacement policies for a system with multiple random works

From the economical viewpoint in reliability theory, this paper addresses a scheduling replacement problem for a single operating system which works at random times for multiple jobs. The system is subject to stochastic failure which results the imperfect maintenance activity based on some random failure mechanism: minimal repair due to type-I (repairable) failure, or corrective replacement due to type-II (non-repairable) failure. Three scheduling models for the system with multiple jobs are considered: a single work, N tandem works, and N parallel works. To control the deterioration process, the preventive replacement is planned to undergo at a scheduling time T or the job's completion time of for each model. The objective is to determine the optimal scheduling parameters (T^* or N^*) that minimizes the mean cost rate function in a finite time horizon for each model. A numerical example is provided to illustrate the proposed analytical model. Because the framework and analysis are general, the proposed models extend several existing results.     

Closure property of consistently varying random variables based on precise large deviation principles

Let X = {X₁, X₂, …} be a sequence of independent but not necessarily identically distributed random variables, and let η be a counting random variable independent of X. Consider randomly stopped sum S_η = ∑^η_{k = 1}X_k and random maximum S_(η) ? max?{S₀, …, S_η}. Assuming that each X_k belongs to the class of consistently varying distributions, on the basis of the well-known precise large deviation principles, we prove that the distributions of S_η and S_(η) belong to the same class under some mild conditions. Our approach is new and the obtained results are further studies of Kizinevi?, Sprindys, and ?iaulys (2016) and Andrulyt?, Manstavi?ius, and ?iaulys (2017).     

如何理解价值的两个定义

价值的两个定义——政治经济学定义(支持劳动价值论)和哲学定义(支持效用价值论),各有自己的适用条件和范围,可以并存。正本溯源,价值的政治经济学定义才是价值的定义;在经济学范围,价值的政治经济学定义才是价值的定义;面对今天价值概念泛化的现实,价值的哲学定义才是价值的定义。     

河北高等教育对区域经济发展的效应分析

随着经济发展区域化和高等教育地区化,高等教育与区域经济通过良性互动,谋求共同发展已成为必然。一个区域高等教育的实力与水平,很大程度上反应着该区域的经济实力和发展水平。河北高等教育对其区域经济发展的促进效用十分突出,但亟需改进完善的方面也不容轻视。     

On the use of quasi-likelihood for estimation in hidden-Markov random fields

This paper illustrates the use of quasi-likelihood methods of inference for hidden Markov random fields. These are simple to use and can be employed under circumstances where only the model form and its covariance structure are specified. In particular they can be used to derive the same estimating equations as the E-M algorithm or change of measure methods, which make full distributional assumptions.     

Testing monotonic equilibrium residual entropy of N-State Random Evolution

In this study, we propose an information measure of uncertainty associated with the random equilibrium residual lifetime of a system driven by N-State Random Evolution. A U-statistic test driven by a moment inequality is proposed for testing the hypothesis that the uncertainty of equilibrium remaining life of a system remains unchanged (when system is in the steady state) against the alternative situation when system’s equilibrium residual life has increasing uncertainty over time (i.e., the life distribution has Increasing Equilibrium Residual Entropy property). Some numerical results such as tabulated critical values and empirical power of the proposed test statistic are presented as well.     

人口迁移与流动对我国各地区经济影响的实证分析

在对近十年来我国人口迁移和流动的时空演变格局进行初步考察的基础上,文章利用面板数据的变系数模型分别实证考察了人口迁移和流动对我国各地区(省域)经济的影响。结果发现:(1)我国各地区间人口迁移相对平稳,而人口流动在2000年以后呈现出持续快速增长的态势,且空间流向极不均衡;(2)人口的迁移和流动对中国整体经济来说是一个帕累托改进;(3)户籍制度对于发达地区起到了人才沙漏的作用;(4)对于中部的绝大部分地区以及西部的一些人口输出大省,伴随人口迁出而引起的人力资本流失对当地经济的负面影响开始凸显出来,人口流出虽然基本出现一个正面影响,但对本地经济发展的贡献并不如我们预想的那么明显。