This account of turnpike theorems concentrates on the discrete time model, descended from the early von Neumann growth model and the Dosso model. It portrays the current state of the theory under the following five headings: (i) a turnpike in the von Neumann model, (ii) a turnpike in the Ramsey...

This 2012 perspective of the 1987 Palgrave entry on ‘turnpike theory’ highlights the subsequent development of the subject in the light of a critical re-reading of the original. It distinguishes the 1949 conception, a response of Samuelson to a 1945 von Neumann challenge to the...

Linking the statistic and the machine learning literature, we provide new general results on the convergence of stochastic approximation schemes and inexact Newton methods. Building on these results, we put forward a new optimization scheme that we call generalized inexact Newton method (GINM)....

Linking the statistic and the machine learning literature, we provide new general results on the convergence of stochastic approximation schemes and inexact Newton methods. Building on these results, we put forward a new optimization scheme that we call generalized inexact Newton method (GINM)....

In this paper we show how techniques from response surface methodology and mathematical programming can be combined into a new sequential derivative-free approach for solving unconstrained deterministic black-box optimization problems.In this sequential derivative-free optimization approach...

The measure of the regional disparities in the European Union was widely approached on the literature. Recent years have seen a spate of studies taking into account the spatial aspect of data in the analysis of convergence from an empirical viewpoint, or integrating spatial interdependencies...

In the last decade, after accession to European Union, Poland has achieved a significant improvement of indicators relating to income on a national level. Polish GDP per capita (in PPP terms) increased from 49% of European Union average in 2004 to 67% in 2013 showing progress in each year...