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].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Arrow, K.K., Debreu, G.: Existence of an Equilibrium for a Competitive Economy. Econometrica 22, 265–290 (1954)
Deng, X., Papadimitriou, C.H., Safra, S.: On the Complexity of Equilibria. In: Proc. STOC (2002)
Devanur, N.R., Papadimitriou, C.H., Saberi, A., Vazirani, V.V.: Market Equilibrium via a Primal-Dual-Type Algorithm. In: Proc. FOCS (2002)
Devanur, N.R., Papadimitriou, C.H., Saberi, A., Vazirani, V.V.: Market Equilibrium via a Primal-Dual-Type Algorithm. Full version, Available at http://www.cc.gatech.edu/nikhil/pubs/market-full.ps
Jain, K., Mahdian, M., Saberi, A.: Approximating Market Equilibrium. To appear in Proc. APPROX (2003)
Scarf, H.: The Computation of Economic Equilibria (with collaboration of T. Hansen). Cowles Foundation Monograph 24 (1973)
Walras, L.: Éléments d’économie politique pure; ou, Théorie de la richesse sociale (Elements of Pure Economics, or the theory of social wealth). Lausanne, Paris, 1874 (1899, 4th ed.; 1926, rev ed., 1954, Engl. transl.)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-540-24597-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20680-4
Online ISBN: 978-3-540-24597-1
eBook Packages: Springer Book Archive