Abstract
The property of Weak Gross Substitutibility (WGS) of goods in a market has been found to be conducive to efficient algorithms for finding equilibria. In this paper, we give a natural definition of a δ-approximate WGS property, and show that the auction algorithm of [GK04][GKV04] can be extended to give an (ε + δ)-approximate equilibrium for markets with this property.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arrow, K., Block, H., Hurwicz, L.: On the stability of the competitive equilibrium: II. Econometrica 27(1), 82–109 (1959)
Codenotti, B., McCune, B., Varadarajan, K.: Market equilibrium via the excess demand function. In: Proceedings of ACM Symposium on Theory of Computing, ACM Press, New York (2005)
Codenotti, B., Pemmaraju, S., Varadarajan, K.: Algorithms column: The computation of market equilibria. In: ACM SIGACT News, vol. 35(4), ACM Press, New York (2004)
Codenotti, B., Saberi, A., Varadarajan, K., Ye, Y.: Leontief economies encode nonzero sum two-player games. In: Proceedings of ACM Symposium on Discrete Algorithms, ACM Press, New York (2006)
Deng, X., Papadimitriou, C., Safra, S.: On the complexity of equilibria. In: Proceedings of ACM Symposium on Theory of Computing, ACM Press, New York (2002)
Devanur, N.R., Papadimitriou, C.H., Saberi, A., Vazirani, V.V.: Market equilibrium via a primal-dual-type algorithm. In: Proceedings of IEEE Annual Symposium on Foundations of Computer Science, Journal version (2002), available at: http://www-static.cc.gatech.edu/~nikhil/pubs/AD/market-full.ps
Devanur, N.R., Vazirani, V.V.: The spending constraint model for market equilibrium: Algorithmic, existence and uniqueness results. In: Proceedings of 36th STOC (2004)
Garg, R., Kapoor, S.: Auction algorithms for market equilibrium. In: Proceedings of 36th STOC (2004)
Garg, R., Kapoor, S., Vazirani, V.V.: An auction-based market equilbrium algorithm for the separable gross substitutibility case. In: Jansen, K., Khanna, S., Rolim, J.D.P., Ron, D. (eds.) RANDOM 2004 and APPROX 2004. LNCS, vol. 3122, Springer, Heidelberg (2004)
Jain, K.: A polynomial time algorithm for computing the Arrow-Debreu market equilibrium for linear utilities. In: Proc. of the IEEE Annual Symposium on Foundations of Computer Science FOCS, IEEE Computer Society Press, Los Alamitos (2004)
Karande, C., Devanur, N.: Approximate market equilibrium for near gross substitutes. Technical report (July 2007), http://www.cc.gatech.edu/~ckarande/kd-approx-wgs.pdf
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Karande, C., Devanur, N. (2007). Computing Market Equilibrium: Beyond Weak Gross Substitutes. In: Deng, X., Graham, F.C. (eds) Internet and Network Economics. WINE 2007. Lecture Notes in Computer Science, vol 4858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77105-0_40
Download citation
DOI: https://doi.org/10.1007/978-3-540-77105-0_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77104-3
Online ISBN: 978-3-540-77105-0
eBook Packages: Computer ScienceComputer Science (R0)