Firms in Scottish High Technology Clusters: software, life sciences, microelectronics, optoelectronics and digital media – preliminary evidence and analysis on firm size, growth and optimality

This paper reports on: (a) new primary source evidence on; and (b) statistical and econometric analysis of high technology clusters in Scotland. It focuses on the following sectors: software, life sciences, microelectronics, optoelectronics, and digital media. Evidence on a postal and e-mailed questionnaire is presented and discussed under the headings of: performance, resources, collaboration & cooperation, embeddedness, and innovation. The sampled firms are characterised as being small (viz. micro-firms and SMEs), knowledge intensive (largely graduate staff), research intensive (mean spend on R&D GBP 842k), and internationalised (mainly selling to markets beyond Europe). Preliminary statistical evidence is presented on Gibrat’s Law (independence of growth and size) and the Schumpeterian Hypothesis (scale economies in R&D). Estimates suggest a short-run equilibrium size of just 100 employees, but a long-run equilibrium size of 1000 employees. Further, to achieve the Schumpeterian effect (of marked scale economies in R&D), estimates suggest that firms have to grow to very much larger sizes of beyond 3,000 employees. We argue that the principal way of achieving the latter scale may need to be by takeovers and mergers, rather than by internally driven growth.

Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria

We report experiments designed to test between Nash equilibria that are stable and unstable under learning. The “TASP” (Time Average of the Shapley Polygon) gives a precise prediction about what happens when there is divergence from equilibrium under fictitious play like learning processes. We use two 4 x 4 games each with a unique mixed Nash equilibrium; one is stable and one is unstable under learning. Both games are versions of Rock-Paper-Scissors with the addition of a fourth strategy, Dumb. Nash equilibrium places a weight of 1/2 on Dumb in both games, but the TASP places no weight on Dumb when the equilibrium is unstable. We also vary the level of monetary payoffs with higher payoffs predicted to increase instability. We find that the high payoff unstable treatment differs from the others. Frequency of Dumb is lower and play is further from Nash than in the other treatments. That is, we find support for the comparative statics prediction of learning theory, although the frequency of Dumb is substantially greater than zero in the unstable treatments.

Dominance Solvable Games with Multiple Payoff Criteria.

Two logically distinct and permissive extensions of iterative weak dominance are introduced for games with possibly vector-valued payoffs. The first, iterative partial dominance, builds on an easy-to check condition but may lead to solutions that do not include any (generalized) Nash equilibria. However, the second and intuitively more demanding extension, iterative essential dominance, is shown to be an equilibrium refinement. The latter result includes Moulin’s (1979) classic theorem as a special case when all players’ payoffs are real-valued. Therefore, essential dominance solvability can be a useful solution concept for making sharper predictions in multicriteria games that feature a plethora of equilibria.

Out of sight, out of mind? Educational outcomes of children with parents working abroad.

Impact of parental emigration on educational outcomes of children is theoretically ambiguous. Using novel data I collected on migration experience and its timing, family background and school performance of lower secondary pupils in Poland, I analyse the question empirically. Migration is mostly temporary in nature, with one parent engaging in employment abroad. As many as 63% of migrant parents have vocational qualifications, 29% graduated from high school, 4% have no qualifications and the remaining 4% graduated from university. Almost 18% of children are affected by parental migration. Perhaps surprisingly, estimates suggest that parental employment abroad has a positive immediate impact on a pupil’s grade. Parental education appears pivotal; children of high school graduates benefit most. Longer term effects appear more negative, however, suggesting that a prolonged migration significantly lowers a child’s grade. Interestingly, siblings’ foreign experiences exert a large, positive impact on pupils’ grades.

Educational spillovers and parental migration

Impacts of parental emigration on educational outcomes of children and, in turn, the children’s influence on peers are theoretically ambiguous. Using novel data I collected on migration experiences and timing, family background and school performance of lower secondary pupils in Poland, I analyse empirically whether children with parents working abroad (PWA) influence school performance of their classmates. Migration is mostly temporary in nature, with one parent engaging in employment abroad. As many as 63% of migrant parents have vocational qualifications, 29% graduated from high school, 4% have no qualifications and the remaining 4% graduated from university. Almost 18% of all children are affected by parental migration and, on average, 6.5% of pupils in a class have a parent abroad. Perhaps surprisingly, estimates suggest that pupils benefit from the presence of PWA classmates. PWA pupils whose parents graduated from high school exert the biggest positive impact on their classroom peers. Further, classmates are differently affected by PWA children; those who themselves experienced migration within the family benefit most. This positive effect is likely driven by the student level interactions or increased teachers’ commitment to classes with students from migrant families.