Substitute Valuations, Auctions and Equilibrium with Discrete Goods
AbstractFor economies in which goods are available in several (discrete) units, this paper identifies two notions of substitutes. The weaker notion guarantees monotonicity of tatonnement processses and convergence of clock auctions to a pseudo-equilibrium, but only the stronger notion, which treats each unit traded as a distinct good with its own price, guarantees that every pseudo-equilibrium is a Walrasian equilibrium, the Vickrey outcome is in the core, and the law of aggregate demand is satisfied. The paper provides several characterizations and properties of weak and strong substitutes.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by UCLA Department of Economics in its series Levine's Bibliography with number 321307000000000713.
Date of creation: 30 Dec 2006
Date of revision:
Contact details of provider:
Web page: http://www.dklevine.com/
Other versions of this item:
- Bruno Strulovici & Paul Milgrom, 2007. "Substitute Valuations, Auctions, and Equilibrium with Discrete Goods," Economics Series Working Papers 339, University of Oxford, Department of Economics.
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
This paper has been announced in the following NEP Reports:
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.:
- 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.
- Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
- John William Hatfield & Paul R. Milgrom, 2005.
"Matching with Contracts,"
American Economic Review,
American Economic Association, vol. 95(4), pages 913-935, September.
- Paul Milgrom, .
"Putting Auction Theory to Work: The Simultaneous Ascending Auction,"
98002, Stanford University, Department of Economics.
- 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.
- Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
- Lawrence M. Ausubel & Paul Milgrom, 2002.
"Ascending Auctions with Package Bidding,"
02004, Stanford University, Department of Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David K. Levine).
If references are entirely missing, you can add them using this form.