In this paper we use only Sperner’s lemma to prove the existence of general equilibrium for a competitive economy with production or with uncertainty and financial assets. We show that the direct use of Sperner’s lemma together with Carathéodory’s convexity theorem and basic properties of...

In this paper, we use Sperner’s lemma to prove the existence of general equilibrium for a competitive economy with production or with uncertainty and financial assets. We then show that the direct use of Sperner’s lemma together with Carathéodory’s convexity theorem and basic properties...

This paper focuses on the role of R&D efforts – both domestic and foreign – and human capital investments to the development of national productivity. As technology is also embodied in human capital, the paper empirically investigates the significance of labour mobility as an effective...

R&D-based growth models with human capital accumulation reach a conclusion that long-run growth is unaffected by research activities and government policies and is only driven by preferences and human capital accumulation technology. Zeng (2003) shows that these results only hold when human...

In characterizing the existence of general equilibrium, existing studies mainly draw on Brouwer and Kakutani fixed point theorems and, to some extent, Gale-Nikaido-Debreu lemma. In this paper, we show that Sperner lemma can play a role as an alternative powerful tool for the same purpose....