Nash-equilibria in a heterogeneous oligopoly with fuzzy information

We consider a model of an oligopolistic market with heterogeneous firms and products where neither the cost nor the demand functions are common knowledge. Instead, each firm only has some vague ideas about the price strategies adopted by its competitors which is modelled by a fuzzy set. In analogy to the notion of an "equilibrium of actions and beliefs" we define and characterize a generalized Nash-equilibrium and show its existence under general conditions. Furthermore, the impact of the fuzzy information on the equilibrium outcome is analyzed by means of a comparative static analysis within a particular model framework.Received: 28 May 2002, Accepted: 25 December 2002, JEL Classification: D43, D80, L13We wish to thank Bernhard F. Arnold, the editor Murat Sertel , and two anonymous referees for helpful comments. Of course, we are responsible for all remaining errors.     

学会用钱说话

·质量专业人员在讨论到他们的活动所产生的财务影响时，往往会感到很困难。 ·要想引起管理者的关注，质量专业人员必须学习重要的财务术语，诸如像净收益、资产回报率等，并能够理解资产负债表和收支表。     

Input- and Output-Oriented Technical Efficiency of Ukrainian Collective Farms, 1989–1992: Bayesian Analysis of a Stochastic Production Frontier Model

We propose estimation of a stochastic production frontier model within a Bayesian framework to obtain the posterior distribution of single-input-oriented technical efficiency at the firm level. All computations are carried out using Markov chain Monte Carlo methods. The approach is illustrated by applying it to production data obtained from a survey of Ukrainian collective farms. We show that looking at the changes in single-input-oriented technical efficiency in addition to the changes in output-oriented technical efficiency improves the understanding of the dynamics of technical efficiency over the first years of transition in the former Soviet Union.     

Social Welfare and Income Inequality in a System of Cities

This paper develops a general-equilibrium model of a system of core-periphery cities to examine the main determinants of intra- and inter-regional income disparities. The economy is populated by a continuum of (homogeneous) unskilled and (heterogeneous) skilled workers. Unskilled workers, whose wages are determined competitively, specialize in food production in local cities; skilled workers, whose wages are determined according to a Nash bargain, manufacture a high-tech commodity in the metropolis. We establish conditions under which this core-periphery equilibrium spatial configuration emerges. We show that both intra- and inter-regional income disparities are present; the determinants of each type of disparity and the social-welfare implications are fully investigated. Our results suggest that public policy programs that improve income equality may not be necessarily welfare enhancing.     

Group decision-making: Head-count versus intensity of preference

This paper puts forth a framework for reshaping the group decision-making process. The proposed framework extends from the usual one-issue-at-a-time decision-making to one that involves several related issues simultaneously. Weaknesses of the traditional majority voting mechanism are first identified, and then a different voting method that takes each individual voter's sentiment into account is discussed. Specifically, a decision-maker is asked to express his/her intensity of preference for the issues encountered. Three hierarchical structures—benefits, costs, and risks—are developed to evaluate the alternatives. Due to the nature of pairwise comparisons and synthesis, the proposed method is amenable to consensus building and has higher reliability and consistency. It can be used for candidate selection, e.g. governmental election, when a large population is involved. It is also effective for resource allocation and prioritization when a small group or business is concerned. We believe the proposed approach has potential for resolving deficiencies of the conventional voting mechanism, and can be applied to many real-world problems. Its implementation on the Internet is also discussed.     

The Impact of Non-Normality and Estimation Methods in SEM on Satisfaction Research in Marketing

This paper discusses consequences of violating the normal distribution assumption imbedded in Structural Equation Modeling (SEM). Based on real data from a large sample customer satisfaction survey we follow the procedures as suggested in leading textbooks. We document consequences of this practice and discuss its impact on decision making in marketing.     

A note on the determination of A-optimal type block designs under fixed and mixed effects models

In this paper, we consider the problem of estimating a selected set of contrasts between v treatments using a block design consisting of b blocks of size k. Traditionally, the construction of A-optimal block designs for such situations has been carried out assuming a fixed effects model. In this paper, we show that A-optimal designs constructed under a fixed effects model are robust in the sense that these designs have maximal minimal efficiency when considered among all available designs and under all possible mixed effects models. AMS 1991 subject classifications: Primary 62K05; Secondary 62K10     

Nonparametric tests for optimizing behavior in production: Extensions to unobservable factors and superadditive technology

This paper develops two new nonparametric tests for optimizing behavior in production. The first is a test for consistency of observed data with cost minimization from a superadditive technology. Superadditivity of technology plays a key role in the theory of industry structure and natural monopoly. The second is an extension of Varian's profit maximization test. When the data fails Varian's test, one possible explanation is technical/allocative inefficiency. However, another possibility is the presence of unobservable, untradeable, and varying endowments of some factor of production. This paper develops a test that allows for such an ordinally measurable factor and notes its correspondence to the Afriat Theorem for utility maximization in demand analysis.The refereeing process of this paper was handled through R. Banker.     

An optimum sampling design to base HT-method of estimating a finite population total

The problem of constructing a sampling design with the value of the sum of second order inclusion probabilities attaining its lower bound for non-integral values of the expected effective size of a sample in the design has been considered in this paper. If the values of the characteristic of interest on all the units in the population are non-negative the design is admissible (in the sense of variance) with respect to Horvitz-Thompson estimator in the class of designs with the same set of values of the first order inclusion probabilities of the units. Again such a design is best to use Horvitz-Thompson estimator of population total in the sense of smallest average variance of the estimator under a special superpopulatio model.