# An Improved Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market

@article{Duan2016AnIC, title={An Improved Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market}, author={Ran Duan and Jugal Garg and Kurt Mehlhorn}, journal={ArXiv}, year={2016}, volume={abs/1510.02694} }

- Published in SODA 2016
DOI:10.1137/1.9781611974331.ch7

We present an improved combinatorial algorithm for the computation of equilibrium prices in the linear ArrowDebreu model. For a market with n agents and integral utilities bounded by U , the algorithm runs in O(n log(nU)) time. This improves upon the previously best algorithm of Ye by a factor of Ω̃(n). The algorithm refines the algorithm described by Duan and Mehlhorn and improves it by a factor of Ω̃(n). The improvement comes from a better understanding of the iterative price adjustment… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 17 REFERENCES

## EXISTENCE OF AN EQUILIBRIUM FOR A COMPETITIVE ECONOMY

VIEW 12 EXCERPTS

HIGHLY INFLUENTIAL

## A Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market

VIEW 13 EXCERPTS

HIGHLY INFLUENTIAL

## A Rational Convex Program for Linear Arrow-Debreu Markets

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## A complementary pivot algorithm for markets under separable, piecewise-linear concave utilities

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Faster Integer Multiplication

VIEW 1 EXCERPT