Afriat from MaxMin

Università degli Studi di Siena

A smooth variant of the Afriat- Varian theorem

We present a simple geometric construction for smoothing polyhedral utility functions.

A Geometric Measure for the Violation of Utility Maximization

Revealed Preference methods offer a nonparametric test for whether a set of observations on a consumer can be rationalized by a utility function. If a consumer is inconsistent with the Generalized Axiom of Revealed Preference, having an idea of how severe this violation of utility maximization is can be useful. One widely used measure is the Afriat efficiency index. We propose a new measure bas...

A Theory of Convergence Order of Maxmin Rate Allocation and an Optimal Protocol

The problem of allocating maxmin rates with minimum rate constraints for connection-oriented networks is considered. This paper proves that the convergence of maxmin rate allocation satisfies a partial ordering in the bottleneck links. This partial ordering leads to a tighter lower bound for the convergence time for any maxmin protocol. An optimally fast maxmin rate allocation protocol called t...

An Afriat Theorem for the collective model of household consumption

An Afriat Theorem for the Collective Model of Household Consumption We provide a nonparametric ‘revealed preference’ characterization of rational household behavior in terms of the collective consumption model, while accounting for general (possibly non-convex) individual preferences. We establish a Collective Axiom of Revealed Preference (CARP), which provides a necessary and sufficient condit...