in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results  to the case of comonotone functions.

A subjective well-being approach is followed to assess the magnitude of inefficiency in the use of income. The information comes from a Mexican survey and an X-inefficiency technique is used. The paper shows that there exists substantial inefficiency in the use of income at all income levels, even for those in income poverty. It is shown that inefficiency is significantly related to practices, ...

This paper provides empirical evidence on the impact on technical inefficiency of smallholder dairy producers when they formally participate in a milk supply chain. Here the stochastic production frontier and technical inefficiency effects model are estimated based on the data gathered from 800 smallholder dairy farms in Pakistan. The results suggest that the technical inefficiency of the parti...

An attractive feature of competitive markets is that they maximize the sum of consumer and producer surplus. Producer and consumer surplus are shown in the market supply and market demand diagram in Figure 7-4. Recall that the producer surplus for all producers is the area above the supply curve and below the market price line, and that the consumer surplus for all consumers is the area below t...