Equilibrium, Auction, Multiple Substitutes and Complements
We study a market model where there are n different types of indivisible goods for sale. The goods can be substitutable or complementary. There are multiple units of each good. Each agent may consume several goods and has quasi-linear utilities in money. We introduce a general condition which will be shown to guarantee the existence of a Walrasian equilibrium and generalize several existing conditions such as gross substitutes, strong substitutes, and gross substitutes and complements. We also identify several characterizations of this condition. Furthermore, we propose a price adjustment process which converges globally to a Walrasian equilibrium.
|Date of creation:||Jul 2013|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (0)1904 323776
Fax: (0)1904 323759
Web page: http://www.york.ac.uk/economics/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Paul Klemperer, 2004.
"Auctions: Theory and Practice,"
Economics Series Working Papers
2004-W09, University of Oxford, Department of Economics.
- Ning Sun & Zaifu Yang, 2006. "Equilibria and Indivisibilities: Gross Substitutes and Complements," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, 09.
- Sven de Vries & James Schummer, 2005.
"On Ascending Vickrey Auctions for Heterogeneous Objects,"
2005 Meeting Papers
389, Society for Economic Dynamics.
- de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
- Paul Milgrom & Robert J. Weber, 1981.
"A Theory of Auctions and Competitive Bidding,"
447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Lawrence M. Ausubel & Paul Milgrom, 2002.
"Ascending Auctions with Package Bidding,"
02004, Stanford University, Department of Economics.
- Ning Sun & Zaifu Yang, 2009. "A Double-Track Adjustment Process for Discrete Markets With Substitutes and Complements," Econometrica, Econometric Society, vol. 77(3), pages 933-952, 05.
- Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer, vol. 36(3), pages 393-407, March.
- Paul Klemperer, 2004.
"Introduction to Auctions: Theory and Practice
[Auctions: Theory and Practice]," Introductory Chapters, Princeton University Press.
- Aytek Erdil & Paul Klemperer, 2009.
"A New Payment Rule for Core-Selecting Package Auctions,"
2009-W11, Economics Group, Nuffield College, University of Oxford.
- Aytek Erdil & Paul Klemperer, 2010. "A New Payment Rule for Core-Selecting Package Auctions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 537-547, 04-05.
- Erdil, Aytek & Klemperer, Paul, 2009. "A New Payment Rule for Core-Selecting Package Auctions," CEPR Discussion Papers 7487, C.E.P.R. Discussion Papers.
- Paul Klemperer & Aytek Erdil, 2009. "A New Payment Rule for Core-Selecting Package Auctions," Economics Series Working Papers 2009-W11, University of Oxford, Department of Economics.
- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
- Ma, Jinpeng, 1998.
"Competitive Equilibrium with Indivisibilities,"
Journal of Economic Theory,
Elsevier, vol. 82(2), pages 458-468, October.
- Paul Milgrom, 2000.
"Putting Auction Theory to Work: The Simultaneous Ascending Auction,"
Journal of Political Economy,
University of Chicago Press, vol. 108(2), pages 245-272, April.
- Milgrom, Paul, 1998. "Putting auction theory to work : the simultaneous ascending auction," Policy Research Working Paper Series 1986, The World Bank.
- Paul Milgrom, . "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Working Papers 98002, Stanford University, Department of Economics.
- William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
- Michael Ostrovsky, 2008. "Stability in Supply Chain Networks," American Economic Review, American Economic Association, vol. 98(3), pages 897-923, June.
- Milgrom, Paul & Strulovici, Bruno, 2009. "Substitute goods, auctions, and equilibrium," Journal of Economic Theory, Elsevier, vol. 144(1), pages 212-247, January.
- Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
- MISHRA, Debasis & PARKES, David C., 2005.
"Ascending price Vickrey auctions for general valuations,"
CORE Discussion Papers
2005052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
- Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
When requesting a correction, please mention this item's handle: RePEc:yor:yorken:13/17. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Paul Hodgson)
If references are entirely missing, you can add them using this form.