Sub additive measures of relative information and inaccuracy

Summary In the study of information theoretic measures, additivity has been the basic requirement. However it is quite interesting to investigate the sub-additive measures. Starting from subadditivity for measures associated with a pair of distributions of a discrete random variable, it has been changed into an equality relation using another function of a pair of distributions., Under the sum property of the function and the measures, the relation is expressed in terms of a functional equation of which the most general complex solutions have been obtained. In terms of the real continuous solutions of the functional equation, the sub-additive measures of Relative information and Inaccuracy have been defined and characterized. Particular cases and simple properties particularly the convexities of some of these new measures have also been studied.     

Tax competition,uniform assessment,and the benefit principle

In previous discussions it has been argued that tax competition between local governments results in a tax burden on business that is less than the cost of public services for business and in suboptimal levels of public expenditures for residents. However, this conclusion has never been substantiated by a full theoretical treatment. Here a theoretical model of tax competition is developed between metropolitan areas, with labor perfectly immobile and two local public goods, one for residents and one for business. For “plausible” parameter values, numerical solutions of the optimality conditions are computed by means of a nonlinear programming algorithm.     

On bivariate generalized binomial and negative binomial distributions

The present paper deals with two types of generalized general binomial (binomial or negative binomial) distributions: (i) a univariate general binomial generalized by a bivariate distribution and (ii) a bivariate general binomial generalized by two independent univariate distributions. The probabilities, moments, conditional distributions and regression functions for these distributions are obtained in terms of bipartitional polynomials. Moreover recurrence relations for the probabilities and moments, independent of the bipartitional polynomials, are given. Finally these general results are applied to the (i) Binomial-Bivariate Poisson and (ii) Bivariate Binomial-Poissons distributions.     

Interpretive structural modeling—A useful tool for technology assessment?

Interpretive Structural Modeling (ISM) is a computer based technique for helping small groups develop graphical representations of complex systems. In this paper, the rationale for the use of Interpretative Structural Modeling in activities such as technology assessment is developed and the basic concepts underlying the technique are explored. Several applications of ISM are described and from these experiences some observations are made about the nature and effectiveness of the ISM process and product. ISM was found to provide its users with a systematic and comprehensive method for integrating group judgments in the development of “first-cut‘ structural models. At the same time, however, the technique was found to be relatively inflexible and may, in some instances, inhibit group processes. Possible directions for the development of less rigid methods are suggested.     

The growth of shiftwork in the British food,drink and tobacco industries

The authors develop and estimate an econometric model of shiftworking for male, manual employees in the food, drink and tobacco industries. In the demand equations TSLS techniques are used to take account of simultaneity in the determination of shiftworking, capital intensity and plant size. Market demand variables are also incorporated in the model to allow for the distinction between ex ante and ex post decisions to work shifts. A demand variable is also incorporated in the supply equations. The results confirm the diverse economic characteristics of these industries, suggesting that inter-industry studies may conceal a considerable degree of variation at MLH level.