Combinatorial Walrasian Equilibrium

Walrasian Price Equilibrium

Walrasian Equilibrium with Gross Substitutes

Sloan Foundation for their support. We are grateful to Vincent Crawford who provided valuable comments and pointed out to us the connection between Kelso and Crawford [5] and our work, to John Geanakoplos for suggesting a weakening of our main assumption, and to Don Brown for valuable comments.

Multilateral bargaining and Walrasian equilibrium

A class of bargaining games in which agents bargain over prices and maximum trading constraints is considered: It is proved that all the Stationary Subgame Perfect Equilibria of these games implement Walrasian allocations as the bargaining frictions vanish. The result holds for any number of agents and is robust to different specifications of the bargaining process. © 2011 Published by Elsevier...

Non-walrasian Equilibrium: Illustrative Examples

Ascending auctions and Walrasian equilibrium

We present a family of submodular valuation classes that generalizes gross substitute. We show that Walrasian equilibrium always exist for one class in this family, and there is a natural ascending auction which finds it. We prove some new structural properties on gross-substitute auctions which, in turn, show that the known ascending auctions for this class (Gul-Stacchetti and Ausbel) are, in ...