Abstract
Recently, Jain, Mahdian and Saberi [5] had given a FPTAS for the problem of computing a market equilibrium in the Arrow-Debreu setting, when the utilities are linear functions. Their running time depended on the size of the numbers representing the utilities and endowments of the buyers. In this paper, we give a strongly polynomial time approximation scheme for this problem. Our algorithm builds upon the main ideas behind the algorithm in [3].
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References
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Devanur, N.R., Vazirani, V.V. (2003). An Improved Approximation Scheme for Computing Arrow-Debreu Prices for the Linear Case. In: Pandya, P.K., Radhakrishnan, J. (eds) FST TCS 2003: Foundations of Software Technology and Theoretical Computer Science. FSTTCS 2003. Lecture Notes in Computer Science, vol 2914. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24597-1_13
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DOI: https://doi.org/10.1007/978-3-540-24597-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20680-4
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