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Existence of Stable Exclusive Bilateral Exchanges in Networks
Ankur Mani, Asuman Ozdaglar, Alex +1
In this paper we show that when individuals in a bipartite network exclusively choose partners and exchange valued goods with their partners, then there exists a set of exchanges t…
Exchangeable equilibria contradict exactness of the Papadimitriou-Roughgarden algorithm
Noah D. Stein, Pablo A. Parrilo, Asuman Ozdaglar
The authors have decided to withdraw this submission. Clarifications/corrections, if any, may follow at a later date.
Flows and Decompositions of Games: Harmonic and Potential Games
Ozan Candogan, Ishai Menache, Asuman Ozdaglar +1
In this paper we introduce a novel flow representation for finite games in strategic form. This representation allows us to develop a canonical direct sum decomposition of an arbit…
A partial proof of Nash's Theorem via exchangeable equilibria
Noah D. Stein, Pablo A. Parrilo, Asuman Ozdaglar
This document consists of two parts: the second part was submitted earlier as a new proof of Nash's theorem, and the first part is a note explaining a problem found in that proof.…
Structure of Extreme Correlated Equilibria: a Zero-Sum Example and its Implications
Noah D. Stein, Asuman Ozdaglar, Pablo A. Parrilo
We exhibit the rich structure of the set of correlated equilibria by analyzing the simplest of polynomial games: the mixed extension of matching pennies. We show that while the cor…