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.

Consider a finite data set of price vectors and consumption bundles; under what conditions will there be a weakly separable utlity function that rationalizes the data?  This paper shows that rationalization in this sense is possible if and only if there exists a preference order on some finite...

We identify a natural way of ordering functions, which we call the interval dominance order and develop a theory of monotone comparative statistics based on this order.  This way of ordering functions is weaker than the standard one based on the single crossing property (Milgrom and Shannon,...

The theoretical literature on (non-random) choice largely follows the route of Richter (1966) by working in abstract environments and by stipulating that we see all choices of an agent from a given feasible set.  On the other hand, empirical work on consumption choice using revealed preference...

This paper examines the operation of an emissions trading scheme (ETS) in a Cournot oligopoly.  We study the impact of the ETS on industry output, price, costs, emissions, and profits.  In particular, we develop formulae for the number of emissions permits that have to be freely allocated to...

Suppose we observe a finite number of input decisions made by a firm, as well as the prices at which those inputs were acquired.  What conditions on the set of observations are necessary and sufficient for it to be consistent with a firm choosing inputs to maximize profit, subject to a...

This paper examines the comparative statics of Walrasian economies with excess demand functions which obey the weak axiom. We show that in these economies there is a precise sense in which goods that are in excess supply (demand) after some perturbation will experience a fall (rise) in its...

This paper gives a proof of the existence of competitive equilibrium under the added assumption that the excess demand function satisfies the weak axiom. In this case, a proof using the separating hyperplane theorem, and without using a fixed point theorem, is possible.

We examine the impact of the normality assumption, together with the weak axiom, in three related areas of general equilibrium theory. Most obviously, these properties have important implications for equilibrium comparative statics, in the context of exchange, production or (incomplete)...

This paper gives a unified and simple treatment of three related questions in the demand theory of the weak axiom: (i) Is there an elementary, i.e., non-fixed point theoretic, proof of equilibrium existence when the excess demand function of an economy satisfies the weak axiom? (ii) What...