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Implementation without Incentive Compatibility: Two Stories with Partially Informed Planners

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  • Makoto Shimoji
  • Paul Schweinzer

Abstract

We consider implementation problems under incomplete information without incentive compatibility. If the social choice functions do not satisfy incentive compatibility, full implementation is unattainable via the existing approaches. By focusing on the actual problems from Typhoon by Joseph Conrad and The Traveler's Dilemma by Kaushik Basu (1994, 2007), we provide a new approach to such implementation problems. For each problem, we first construct a mechanism which takes advantage of a unique feature of these problems, i.e., the planners possess some information regarding the actual state. We then provide a sufficient condition on players' beliefs for each problem under which every player has a unique rationalizable action. The conditions we identify however depend on the informational structures, suggesting that obtaining a general result within this type of frameworks is nontrivial.

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Bibliographic Info

Paper provided by Department of Economics, University of York in its series Discussion Papers with number 12/21.

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Date of creation: Aug 2012
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Handle: RePEc:yor:yorken:12/21

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
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Fax: (0)1904 323759
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Web page: http://www.york.ac.uk/economics/
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Keywords: Implementation; Rationalizability; Incentive Compatibility; Incomplete Information;

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  1. Robles Jack & Shimoji Makoto, 2012. "On Rationalizability and Beliefs in Discrete Private-Value First-Price Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-21, May.
  2. Maskin, Eric & Sjostrom, Tomas, 2001. "Implementation Theory," Working Papers 5-01-1, Pennsylvania State University, Department of Economics.
  3. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  4. Georgy Artemov & Takashi Kunimoto & Roberto Serrano, 2007. "Robust Virtual Implementation with Incomplete Information: Toward a Reinterpretation of the Wilson Doctrine," Working Papers 2007-6, Brown University, Department of Economics.
  5. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
  6. Dirk Bergemann & Stephen Morris & Olivier Tercieux, 2010. "Rationalizable Implementation," Cowles Foundation Discussion Papers 1697R, Cowles Foundation for Research in Economics, Yale University.
  7. Antonio Cabrales & Antoni Calvó & Matthew O. Jackson, 2000. "La Crema: A case study of mutual fire insurance," Economics Working Papers 518, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 185-216, April.
  9. Battigalli Pierpaolo & Di Tillio Alfredo & Grillo Edoardo & Penta Antonio, 2011. "Interactive Epistemology and Solution Concepts for Games with Asymmetric Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-40, March.
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