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Stability and competitive equilibrium in trading networks
We introduce a model in which agents in a network can trade via bilateral contracts. We find
that when continuous transfers are allowed and utilities are quasi-linear, the full …
that when continuous transfers are allowed and utilities are quasi-linear, the full …
Understanding preferences:“demand types”, and the existence of equilibrium with indivisibilities
An Equivalence Theorem between geometric structures and utility functions allows new
methods for understanding preferences. Our classification of valuations into “Demand …
methods for understanding preferences. Our classification of valuations into “Demand …
Matching with complementary contracts
In this paper, we show that stable outcomes exist in matching environments with
complementarities, such as social media platforms or markets for patent licenses. Our results …
complementarities, such as social media platforms or markets for patent licenses. Our results …
Gross substitutes condition and discrete concavity for multi-unit valuations: a survey
Efficient allocation of indivisible goods is an important problem in mathematical economics
and operations research, where the concept of Walrasian equilibrium plays a fundamental …
and operations research, where the concept of Walrasian equilibrium plays a fundamental …
Product-mix auctions and tropical geometry
In a recent and ongoing work, Baldwin and Klemperer explore a connection between
tropical geometry and economics. They give a sufficient condition for the existence of …
tropical geometry and economics. They give a sufficient condition for the existence of …
The equilibrium existence duality
We show that with indivisible goods, the existence of competitive equilibrium fundamentally
depends on agents' substitution effects, not their income effects. Our equilibrium existence …
depends on agents' substitution effects, not their income effects. Our equilibrium existence …
Implementing Walrasian Equilibrium: the Languages of Product-mix Auctions
Product-mix auctions are sealed-bid mechanisms for trading multiple divisible or indivisible
units of multiple differentiated goods. They implement competitive-equilibrium allocations …
units of multiple differentiated goods. They implement competitive-equilibrium allocations …
Walrasian equilibrium in large, quasilinear markets
In an economy with indivisible goods, a continuum of agents, and quasilinear utility, we
show that equilibrium exists regardless of the nature of agents' preferences over bundles …
show that equilibrium exists regardless of the nature of agents' preferences over bundles …
Trading networks with bilateral contracts
We consider a model of matching in trading networks in which firms can enter into bilateral
contracts. In trading networks, stable outcomes, which are immune to deviations of arbitrary …
contracts. In trading networks, stable outcomes, which are immune to deviations of arbitrary …
Back to fundamentals: Equilibrium in abstract economies
We propose a new abstract definition of equilibrium in the spirit of competitive equilibrium: a
profile of alternatives and a public ordering (expressing prestige, price, or a social norm) …
profile of alternatives and a public ordering (expressing prestige, price, or a social norm) …