We reconsider the theory of Thompson aggregators proposed by Marinacci and Montrucchio. We prove a variant of their Recovery Theorem establishing the existence of extremal solutions to the Koopmans equation. We apply the constructive Tarski-Kantorovich Fixed Point Theorem rather than the...

This paper presents an approach, building on techniques from computational geometry, for compiling nonmonotonic utility functions into a form that substantially speeds utility calculation. We demonstrate speedups of up to 70x in our experimental evaluations

This paper examines demand systems where the demand for a good depends only on its own price, consumer income, and a single aggregator synthesizing information on all other prices. This generalizes directly-separable preferences where the Lagrange multiplier provides such an aggregator. As...

At the zero lower bound, the New Keynesian model predicts that output and inflation collapse to implausibly low levels, and that government spending and forward guidance have implausibly large effects. To resolve these anomalies, we introduce wealth into the utility function; the justification...

We reconsider the theory of Thompson aggregators proposed by Mari-nacci and Montrucchio. We demonstrate the Koopmans equation has a unique utility function solution given a Thompson aggregator. Uniqueness holds only on the interior of the commodity spaces positive cone.Our proof veries the...

A game of love and hate is one in which a player's payoff is a function of her own action and the payoffs of other players. For each action profile, the associated payoff profile solves an interdependent utility system, and if that solution is bounded and unique for every profile we call the...