Following a review of the probe optimization of Slutsky, Rao, Sun, and Fainman @Phys. Rev. A 57, 2383 ~1998!# for the standard four-state protocol of quantum key distribution, I generalize the optimization to a variable angle between the signal bases. I calculate the corresponding maximum Renyi information gain by the probe, and determine the optimum probe parameters. A larger set of optimum pr...

The introduction of real-cash balances into the neoclassical model of the consumer wrecks havoc, in general, on the empirically observable refutable comparative statics properties of the model. We provide the most general solution of this problem to date by deriving a symmetric and negative semidefinite generalized Slutsky matrix that is empirically observable and which contains all other such ...

Elevation of cerebral Mg2+ with a novel orally delivered ionophore, magnesium threonate, enhances cognition in young and old rats over a 12-24 day treatment interval, as outlined in a paper by Slutsky et al. in this issue of Neuron. Despite both Mg2+ and Zn2+ blocking the NMDA receptor channel, sustained extracellular Mg2+ elevation mimics sustained synaptic Zn2+ concentrations by increasing hi...

Incorporating a household’s net sale status into a rearranged Slutsky equation with combined ordinary and endowment income effects, this paper aims to reinterpret the income elasticity of demand in the case of buying and selling and to associate it with types of goods in a novel manner. To this end, the Deaton’s (1989) net benefit ratio (NBR) approach is expressed as the difference between orig...

This article defines and analyzes a ‘‘sparse max’’ operator, which is a less than fully attentive and rational version of the traditional max operator. The agent builds (as economists do) a simplified model of the world which is sparse, considering only the variables of first-order importance. His stylized model and his resulting choices both derive from constrained optimization. Still, the spa...

In this paper, we present a collective model of household demand based on Pareto-efficiency. In addition, we suppose that (i) each household member is egoistic and consumption is purely private, (ii) there is a set of distribution factors and (iii) there is one exclusive good. Then we derive the testable restrictions which are implied by this theoretical setting. Mots clés : modèle collectif, d...

1998 ii ACKNOWLEDGEMENTS I owe much to my teachers. Sunne Brandemeyer piqued my interest in economics when I took Principles of Microeconomics as a sophomore. Phil Porter inspired my interest in public policy and public choice. Jon Hamilton and Steve Slutsky taught me the fundamentals of microeconomic theory and were always available as members of my committee. I was lucky to have Wayne Francis...

Abstract Berkson errors are commonplace in empirical microeconomics. In consumer demand, this form of measurement error occurs when the price an individual pays is measured by (weighted) average paid individuals a group (e.g., county) rather than true transaction price. We show importance for demand estimation with nonseparable unobserved heterogeneity. develop consistent estimator using extern...