We examine Nash implementation when individuals cannot be forced to accept the outcome of a mechanism. Two approaches are studied. The first approach is static where a state-contingent participation constraint de nes an implicit mapping from rejected outcomes into outcomes that are individually rational. We call this voluntary implementation, and show that the constrained Walrasian correspondence is not voluntarily implementable. The second approach is dynamic where a mechanism is replayed if the outcome at any stage is vetoed by one of the agents. We call this stationary implementation, and show that if players discount the future in any way, then the constrained Walrasian correspondence is stationarily implementable.
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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number
1077.
Length: 31 pages Date of creation: Nov 1999 Date of revision: Publication status: Published: Published in Journal of Economic Theory, V. 98, #1, 2001, pp. 1-25 Handle: RePEc:clt:sswopa:1077
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References listed on IDEAS 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.:
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Chakravorti, B. & Corchon, L.C., 1992.
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Other versions:
Luis Corchón & Bhaskar Chakravorti & Simon Wilkie, 1993.
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[Downloadable!]
Jackson, Matthew O. & Palfrey, Thomas R., 1999.
"Voluntary Implementation,"
Working Papers
1077, California Institute of Technology, Division of the Humanities and Social Sciences.
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Cited by: (explanations, 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.)
Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003.
"Kidney Exchange,"
NBER Working Papers
10002, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions:
Jackson, Matthew O. & Palfrey, Thomas R., 1999.
"Voluntary Implementation,"
Working Papers
1077, California Institute of Technology, Division of the Humanities and Social Sciences.
[Downloadable!]
Other versions:
Maskin, Eric & Sjostrom, Tomas, 2001.
"Implementation Theory,"
Working Papers
5-01-1, Pennsylvania State University, Department of Economics.
[Downloadable!]
Maskin, Eric & Sjostrom, Tomas, 2002.
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in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288
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