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Voluntary Implementation

  • Jackson, Matthew O.
  • Palfrey, Thomas R.

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.

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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
Contact details of provider: Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
Phone: 626 395-4065
Fax: 626 405-9841
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Order Information: Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125

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  1. Kalai, Ehud & Ledyard, John, 1997. "Repeated Implementation," Working Papers 1027, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Ariel Rubinstein & Asher Wolinsky, 1989. "Renegotiation-Proof Implementation and Time Preferences," Discussion Papers 850, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  4. Arya, Anil & Glover, Jonathan & Hughes, John S., 1997. "Implementing Coordinated Team Play," Journal of Economic Theory, Elsevier, vol. 74(1), pages 218-232, May.
  5. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
  6. Baliga, Sandeep & Corchon, Luis C. & Sjostrom, Tomas, 1997. "The Theory of Implementation When the Planner Is a Player," Journal of Economic Theory, Elsevier, vol. 77(1), pages 15-33, November.
  7. Matthew O. Jackson & Thomas R. Palfrey, 1997. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Game Theory and Information 9711003, EconWPA.
  8. Baliga, Sandeep & Sjostrom, Tomas, 1999. "Interactive Implementation," Games and Economic Behavior, Elsevier, vol. 27(1), pages 38-63, April.
  9. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
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