We identify necessary and sufficient conditions under which a coarse data set can be coarsely rationalized by a linear order (or weak order). The conditions are easy to check, and efficient algorithms are provided. We apply our theory to investigate the observable restrictions of several...

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...

Whether they are financial, economic, or psychological, discount rates affect most economic decisions: investment and savings, hirings and firings, defaults and refinancing, financial and economic reforms, learning and experimentation, and any other decision with long-term consequences, such as...

We consider an observer who makes a finite number of observations of an industry producing a homogeneous good, where each observation consists of the market price and firm specific production quantities.  We develop a revealed preference test (in the form of a linear program) for the hypothesis...

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....

<Para ID="Par1">We develop revealed preference tests for models of multi-product oligopoly, building on the work in Carvajal et al. (Econometrica 81(6):2351–2379, <CitationRef CitationID="CR8">2013</CitationRef>). We analyze a Cournot model with multiple goods and show that it has testable restrictions when at least one good is produced by two or more...</citationref></para>

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.