Market Equilibrium via a Primal-Dual-Type Algorithm

@inproceedings{Devanur2002MarketEV,
  title={Market Equilibrium via a Primal-Dual-Type Algorithm},
  author={Nikhil R. Devanur and Christos H. Papadimitriou and Amin Saberi and Vijay V. Vazirani},
  booktitle={FOCS},
  year={2002}
}
Although the study of market equilibria has occupied center stage within Mathematical Economics for over a century, polynomial time algorithms for such questions have so far evaded researchers. We provide the first such algorithm for the linear version of a problem defined by Irving Fisher in 1891. Our algorithm is modeled after Kuhn’s primaldual algorithm for bipartite matching. 
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