Stationarity and regularity of infinite collections of sets. Applications to infinitely constrained optimization

This article continues the investigation of stationarity and regularity properties of infinite collections of sets in a Banach space started in Kruger and López (J. Optim. Theory Appl. 154(2), 2012), and is mainly focused on the application of the stationarity criteria to infinitely constrained optimization problems. We consider several settings of optimization problems which involve (explicitly or implicitly) infinite collections of sets and deduce for them necessary conditions characterizing stationarity in terms of dual space elements—normals and/or subdifferentials.

Economic crisis and tourism competitiveness in Spain: permanent effects or transitory shocks?

This paper considers the influence of business cycles and economic crises on Spain's tourism competitiveness. This competitiveness is measured by its share in world tourism. Analysing the presence of unit roots in the market share series from 1958 to 2010, the permanent effects of economic crises on competitiveness are evaluated. The evidence from standard linear unit root tests indicates that crises on Spanish market shares are highly persistent. When we account for endogenously determined structural breaks, we obtain greater support for stationarity, but breakpoints are identified with major economic crises. Therefore the main conclusion obtained is that the effects of the economic shocks are not neutral on competitiveness, with the negative effects being more persistent in highly intensive crises. These crises reinforce a natural downward trend of the Spanish world tourism market share caused by the natural emergence of new competing destinations and by the maturity of the Spain's principal tourism product.