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Implementation without Incentive Compatibility: Two Stories with Partially Informed Planners

  • Makoto Shimoji
  • Paul Schweinzer

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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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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  1. Eric Maskin & Tomas Sjostrom, 2001. "Implementation Theory," Economics Working Papers 0006, Institute for Advanced Study, School of Social Science.
  2. Cabreales, Antonio & Calvo-Armengol, Antoni & Jackson, Matthew O., 2003. "La Crema: A Case Study of Mutual Fire Insurance," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 425-458, April.
  3. 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.
  4. 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.
  5. Pierpaolo Battigalli & Alfredo Di Tillio & Edoardo Grillo & Antonio Penta, 2008. "Interactive Epistemology and Solution Concepts for Games with Asymmetric Information," Working Papers 340, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  6. 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.
  7. Bergemann, Dirk & Morris, Stephen & Tercieux, Olivier, 2011. "Rationalizable implementation," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1253-1274, May.
  8. Barton L. Lipman & Elchanan Ben-Porath, 2010. "Implementation with Partial Provability," Boston University - Department of Economics - Working Papers Series WP2010-018, Boston University - Department of Economics.
  9. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
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