This study evaluated hydrogen generation through the hydrolysis of an Al/NaBH4/Co/NaAlO2 system. Hydrogen generation performance can be altered by changing the Al/NaBH4 mass ratios, Co amount and NaAlO2 concentration. The optimized composite can achieve a hydrogen yield of more than 90% within...

Consider a two period financial economy with incomplete markets and with agents having von Neumann-Morgenstern utility functions. It is well known that when the economy’s endowments are collinear, its excess demand function will obey the weak axiom when certain mild restrictions are...

Consider a finite data set where each observation consists of a bunde of contingent consumption chosen by an agent from a constraint set of such bundles.  We develop a general procedure for testing the consistency of this data set with a broad class of models of choice under risk and under...

These are additional notes relating to the paper `The Comparative Statics of Constrained Optimization Problems`, which is appearing in Econometrica. It gathers together material present in various earlier versions of the paper, as well as some new material, which are not found in the published...

Certain problems in comparative statics, including (but not exclusively) certain problems in consumer theory, cannot be easily addressed by the methods of lattice programming. One reason for this is that there is no order on the choice space which orders choices in a way which conforms with the...

This paper gives a non-fixed point theoretic proof of equilibrium existence when the excess demand function of an exchange economy obeys the weak axiom. The proof is simple and geometrically intuitive, and it also permits a weakening of the continuity assumption on the excess demand function....

We show that an agent maximizing some utility function on a discrete (as opposed to continuous) consumption space will obey the generalized axiom of revealed preference (GARP) so long as the agent obeys cost efficiency. Cost efficiency will hold if there is some good, outside the set of goods...

We identify necessary and sufficient conditions under which a finite data set of price vectors and consumption bundles can be rationalized by a weakly separable utility function.  Our result could be understood as a generalization of Afriat's Theorem.