Let M and N be the set of minimizers of a function f over respective subsets K and L of a lattice, with K being lower than L. This paper characterizes the class of functions f for which M is lower (resp., weakly lower, meet lower, join lower, chain lower) than N for all K lower than L. The...

En este trabajo se estudia la rentabilidad de la empresa agroalimentaria en Andalucía (España)mediante un conjunto de ratios, elaborados por el Instituto de Estadística de Andalucía a partir de la Central de Balances de Actividades Empresariales de Andalucía. El objeto es encontrar las...

The standard system is in balanced standard proportions, which permit growth without bottlenecks. This study estimates the standard system in the Indian Economy from the input-output tables prepared by the CSO, and use the standard proportions to identify sectors that are a bottleneck to 10%...

This paper analyses growth and convergence on sugarcane industry in southeast Asia countries. Important questions in this paper are whether the growth of sugar cane industry in Southeast Asia moves toward a convergence or divergence trend over time and to what extent the economic integration...

One of the difficult and frustrating aspects of teaching mathematics is getting students to think logically and develop an ability to prove theorems. Too frequently, students resort to what might be called "proof by example." A classic illustration of "proof by example" comes from years of...

In this paper I give a new proof of equilibrium existence in incomplete markets economies with a continuum of states.

In the paper, the asymptotic distribution of the equilibrium price in markets with the random demand and supply is described. Two special cases - the one with smooth demand and supply curves and the one with jump demand and supply curves - are studied. It is found that in both the cases the...

As in [1], we study the deterministic optimization problem of a profit- maximizing firm which plans its sales/production schedule. The firm knows the revenue associated to a given level of sales, as well as its production and storage costs. The revenue and the production cost are assumed to be...

This paper explores two models of an economy in which contracts are exchanged. In the first version contracts are exchanged on a competitive market in which traders expectations concerning conditions that prevail within specific markets adjust until markets `clear'. In the second model contract...