Using volume to prove Sperner’s Lemma

We provide a novel proof of Sperner’s Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known. The research of A. McLennan is partly funded by the Australian Research Council grant DP0773324. This paper was partly written while he was a member of the Discipline of Economics, The University of Sydney. McLennan also gratefully acknowledges the hospitality of the Economic Theory Center of the University of Melbourne. The research of R. Tourky is partly funded by the Australian Research Council grant A00103450. This paper was partly written while he was a member of the Department of Economics, Purdue University.     

A Development‐friendly Prioritisation of Doha Round Proposals

Agriculture looms large on the WTO's agenda. It was the first substantive item listed in the work programme of the Ministerial Declaration launching the Doha Round, and it was arguably at the centre of the failure at Cancun. Developing countries made it clear both before and during the Cancun meeting that progress on agriculture was their primary objective. Negotiations in other areas have received less attention and progressed more slowly. This paper considers that prioritisation, and suggests that the interests of developing countries in the current round of trade negotiations are much broader than is suggested by the narrow range of agricultural issues that have dominated negotiations. A true development round would require a significant reprioritisation of many areas of the WTO's current agenda.     

SOME GENERAL EQUILIBRIUM EFFECTS OF MINING GROWTH ON THE ECONOMY

The effects of mining sector growth are analysed with a five-sector general equilibrium model. The effect of the mineral discoveries is to cause the agricultural sector to contract, but to cause the import-competing sector to expand by a small amount–a result which differs from Gregory's (1976) analysis. However, a mining boom caused by increases in external demand, rather than by new discoveries, leads to a different set of results. Some likely effects of the boom on the growth rates of the different sectors in the economy are reported. Finally, the effects of an export tax on minerals are considered.     

Program Evaluation and Review Technique (PERT) in Construction Schedule Risk Assessment

Construction project scheduling is one of the most critical factors for project success measurement.Not only for the project planning but for construction process management,the scheduling is the basic tool for communication between the owner and the project manager.By developing the schedule before the project starts,the owner knows in advance that the expected timeline of the project.By preparing construction process scheduling,the owner and general contractor can better manage the subcontractors,sub-trades progress,materials storage and deliveries,labors schedule and equipment set up which will eventually save time,money and hassle.Basically,Critical Path Method(CPM) is commonly used in the construction industry.CPM is a deterministic method that assumes that through the network,there is at least one path that determines the project duration and that the path is the critical path.CPM does not consider the uncertainty in the activities;rather it assumes that each activity can be finished in the given situation.Program Evaluation and Review Technique(PERT) is a stochastic technique which is based on the assumption that the duration of a single activity can be described by a probability density function.PERT takes into account the uncertainty during the construction process and has been created out of the need to plan,schedule and control complex projects with many uncertainties.The PERT approach is stated in some books and papers,but there is no deep investigation on the application in the schedule risk assessment.This paper investigates the PERT work process and takes a valuable try on the construction schedule risk assessment by using case studies.The utilization in the estimate the construction liquidated damage with the uncertainties is performed,which also can be used in the insurance company to calculate the insurance premium.     

The adoption of direct banking services

The adoption of new products and services is of increasing importance to many industries. This is especially so for those organisations that are marketing technological innovations. In this paper a model of the perceived innovation attributes and the personal characteristics of adopters and non‐adopters was developed, based on literature and consumer research. These are then tested using a questionnaire concerned with the UK market for direct banking services. The results are presented in detail which indicate that the model presented is an excellent predictor of adoption behaviour. From these results a number of interesting implications have been highlighted for marketing practice.