data envelopment analysis (dea) is a method for measuring the efficiency of peer decision making units (dmus) with multiple inputs and outputs. the traditional dea treats decision making units under evaluation as black boxes and calculates their efficiencies with first inputs and last outputs. this carries the notion of missing some intermediate measures in the process of changing the inputs to...

The measurement of the efficiency of some selection or process is always an important part of the analysis of experimental data. The statistical techniques needed to determine the efficiency and its uncertainty are reviewed, based on the use of the Bayes’ theorem. Uniform and non-uniform priors are considered in two real-life examples. The use of the uncertainties in practical cases is also con...

This paper distinguishes an index ordering and a social ordering function as a simple way to formalize the indexing problem in the social choice framework. Two main conclusions are derived. First, the alleged dilemma between welfarism and perfectionnism is shown to involve a third possibility, exemplified by the fairness approach to social choice. Second, the idea that an individual is better o...

We study the problem of rationing a divisible good among a group of people. Each person’s preferences are characterized by an ideal amount that he would prefer to receive and a minimum quantity that he will accept: he finds any amount less than this threshold to be just as good as receiving nothing at all. Further, any amount beyond his ideal quantity has no effect on his welfare. The focus of ...

We prove comonotonicity of Pareto-optimal risk allocations using risk measures consistent with the stochastic convex order. This extends result of Landsberger and Meilijson (1994) to risks X ∈ L and general probability spaces.

We study the problem of allocating a set of indivisible goods to a set of agents having additive preferences. We introduce two new important complexity results concerning efficiency and fairness in resource allocation problems: we prove that the problem of deciding whether a given allocation is Pareto-optimal is coNP-complete, and that the problem of deciding whether there is a Pareto-efficient...

Cooperative (co-op) advertising has been widely used in practice and employed as a strategy to improve the performance of a distribution channel. It is known from the existing models that co-op advertising could not achieve the channel coordination (i.e., maximize the total channel profit). In this paper, we consider a distribution channel consisting of a single manufacturer and a single retail...

n the ’70s fixed-to-fixed microwave links were developed and deployed. Wireless local loop (WLL) systems could also have been implemented in the ’70s in U.S. rural areas, but were not. The cost justifications at that time for WLL were: For the Near Term — Using the radio link for WLL was the solution because the cost of laying a long wire cable to connect to a remote point was very high. For th...