Matching with Contracts
Abstract
We develop a model of matching with contracts which incorporates, as special cases, the college admissions problem, the Kelso-Crawford labor market matching model, and ascending package auctions. We introduce a new "law of aggregate demand" for the case of discrete heterogeneous workers and show that, when workers are substitutes, this law is satisfied by profit-maximizing firms. When workers are substitutes and the law is satisfied, truthful reporting is a dominant strategy for workers in a worker-offering auction/matching algorithm. We also parameterize a large class of preferences satisfying the two conditions.Download Info
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Bibliographic Info
Article provided by American Economic Association in its journal American Economic Review.
Volume (Year): 95 (2005)
Issue (Month): 4 (September)
Pages: 913-935
Note: DOI: 10.1257/0002828054825466
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Keywords:Other versions of this item:
- Paul Milgrom, 2003. "Matching with Contracts," Working Papers 03003, Stanford University, Department of Economics.
References
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- Bulow, Jeremy I. & Levin, Jonathan, 2003.
"Matching and Price Competition,"
Research Papers
1818, Stanford University, Graduate School of Business.
- Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
- Jeremy Bulow & Jonathan Levin, 2005. "Matching and Price Competition," NBER Working Papers 11506, National Bureau of Economic Research, Inc.
- Jonathan Levin & Jeremy Bulow, 2004. "Matching and Price Competition," Econometric Society 2004 North American Winter Meetings 350, Econometric Society.
- Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-27, March.
- Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
- Lawrence M. Ausubel & Peter Cramton & Paul Milgrom, 2004.
"The Clock-Proxy Auction: A Practical Combinatorial Auction Design,"
Papers of Peter Cramton
04mit5, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
- Lawrence M. Ausubel & Peter Crampton & Paul Milgrom, 2004. "The Clock-Proxy Auction: A Practical Combinatorial Auction Design," Discussion Papers 03-034, Stanford Institute for Economic Policy Research.
- Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005.
"The New York City High School Match,"
American Economic Review,
American Economic Association, vol. 95(2), pages 364-367, May.
- Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The New York City High School Match," Scholarly Articles 2562765, Harvard University Department of Economics.
- Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
- Atila Abdulkadiroglu & Tayfun Smez, 2003.
"School Choice: A Mechanism Design Approach,"
Discussion Papers
0203-18, Columbia University, Department of Economics.
- Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
- Milgrom,Paul, 2004.
"Putting Auction Theory to Work,"
Cambridge Books,
Cambridge University Press, number 9780521551847.
- Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
- Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
- Jos A.M. Potters & Anita van Gellekom & Hans Reijnierse, 2002. "Verifying gross substitutability," Economic Theory, Springer, vol. 20(4), pages 767-776.
- Echenique, Federico & Oviedo, Jorge, 2004.
"Core many-to-one matchings by fixed-point methods,"
Journal of Economic Theory,
Elsevier, vol. 115(2), pages 358-376, April.
- Federico Echenique & Jorge Oviedo, 2003. "Core Many-to-one Matchings by Fixed-point Methods," Game Theory and Information 0302001, EconWPA.
- Echenique, Federico & Oviedo, Jorge, 2002. "Core Many-To-One Matchings by Fixed-Point Methods," Working Papers 1140, California Institute of Technology, Division of the Humanities and Social Sciences.
- Brewer, Paul J. & Plott, Charles R., 1996. "A binary conflict ascending price (BICAP) mechanism for the decentralized allocation of the right to use railroad tracks," International Journal of Industrial Organization, Elsevier, vol. 14(6), pages 857-886, October.
- Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
- Atila Abdulkadiroglu, 2003. "College admissions with affirmative action," Discussion Papers 0203-19, Columbia 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.
- Paul Milgrom, . "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Working Papers 98002, Stanford University, Department of Economics.
- Milgrom, Paul, 1998. "Putting auction theory to work : the simultaneous ascending auction," Policy Research Working Paper Series 1986, The World Bank.
- Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth & Tayfun S�nmez, 2005.
"The Boston Public School Match,"
American Economic Review,
American Economic Association, vol. 95(2), pages 368-371, May.
- Sönmez, Tayfun & Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The Boston Public School Match," Scholarly Articles 2562764, Harvard University Department of Economics.
- Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
- 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.
- Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
- Adachi, Hiroyuki, 2000. "On a characterization of stable matchings," Economics Letters, Elsevier, vol. 68(1), pages 43-49, July.
- Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
- Peter Cramton & Yoav Shoham & Richard Steinberg, 2004. "Combinatorial Auctions," Papers of Peter Cramton 04mit, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
- Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
- Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-40, June.
- Lawrence M. Ausubel & Paul R. Milgrom, 2002.
"Ascending Auctions with Package Bidding,"
The B.E. Journal of Theoretical Economics,
De Gruyter, vol. 0(1), pages 1.
- Lawrence M. Ausubel & Paul Milgrom, 2002. "Ascending Auctions with Package Bidding," Working Papers 02004, 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.
- Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
- Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2000. "Single Agents and the Set of Many-to-One Stable Matchings," Journal of Economic Theory, Elsevier, vol. 91(1), pages 91-105, March.
- Alvin E. Roth & Elliott Peranson, 1999.
"The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design,"
NBER Working Papers
6963, National Bureau of Economic Research, Inc.
- Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
- Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
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