The Internationalisation of UK R&D

Policies to promote research and development (R&D) are high on the government's agenda. R&D and innovation are seen as key drivers of economic growth and important for raising UK productivity. This paper considers recent trends in UK R&D performance. We show that UK R&D is more internationalised than that of other G5 countries and is becoming increasingly so at a faster rate. A rising share of UK R&D is funded from abroad and UK firms are undertaking more of their R&D overseas. Using an international panel of countries, we show that R&D in one country responds to a change in the price in another ‘competitor’ country. This suggests that UK innovation policies could play an important role in determining whether increasingly footloose R&D locates in the UK or moves overseas.     

A score-type test based on higher-order derivatives

Two approaches to parametrizing the error-components model for heterogeneity are considered and score-type tests for the absence of heterogeneity are described. Here, the score is identically zero for any data. However a test can be based on higher-order derivatives.     

Small firms and local economic development in South London

A growing body of literature has identified a number of potential constraints on small firm growth. Arguably, the severity of these constraints is closely related to the differing fortunes of industries and firms and the extent of localised external economies or diseconomies. This paper looks at the constraints facing manufacturing and business service firms in a large urban area. The paper draws on findings from a survey of small firms in Croydon. Data from the survey reveal some differences between small manufacturing and service firms in their experience of the urban environment. Physical constraints on expansion and labour shortages appear to be hindering small manufacturing firms in Croydon. Deficiencies in specific niches of the local business service sector may be preventing small business service firms from complementing and enhancing their internal capabilities. The problems facing small firms in Croydon and the sorts of local policy initiatives being developed are likely to be applicable to other large urban areas.     

The theory of reform and indian indirect taxes

Given a set of value judgements, an initial state, and a model of the economy, one can ask whether some feasible tax change would increase welfare. We do this by defining the marginal cost in terms of welfare of raising an extra rupee from the ith good. The inverse optimum problem is the calculation of non-negative welfare weights on households which imply that the initial state is optimum. If no such welfare weights exist, then a Pareto improvement is possible. We illustrate the concepts and results using data from the Indian economy for 1979–1980. Directions of tax reform for a number of specific social welfare functions and for Pareto improvements are presented.     

An elementary proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley Theorem

Summary This note provides an elementary short proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley (K-K-M-S) Theorem based on Brouwer's fixed point theorem. The usefulness of the K-K-M-S Theorem lies in the fact that it can be applied to prove directly Scarf's (1967) Theorem, i.e. any balanced game has a non-empty core. We also show that the K-K-M-S Theorem and the Gale-Nikaido-Debreu Theorem can be proved by the same arguments.We wish to thank Roko Aliprantis for useful comments.     

Estimation of fixed effect models for time series of cross-sections with arbitrary intertemporal covariance

Models for time series of cross-sections with fixed effects and with intertemporal correlation are considered. The regression coefficients, and their standard errors, can be estimated by generalized least squares applied to a transformed model. The procedure is given a conditional likelihood interpretation.     

Performance criteria and multilateral aid allocation

This study raises questions about past models for aid allocation, in particular the ‘two-gap’ model. It proposes an alternative method for allocating aid among developing countries, on the basis of need (as represented by per capita income) and country performance (measured by variables for relative effort in savings, exports, control of inflation, tax policy, and efficiency of resource use). Statistical tests are applied to actual lending patterns of the World Bank to determine the extent to which in practice the Bank relates lending to these proposed measures of need and performance.