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Implementation with partial provability

Author Info

  • Ben-Porath, Elchanan
  • Lipman, Barton L.

Abstract

We extend implementation theory by allowing the social choice function to depend on more than just the preferences of the agents and allowing agents to support their statements with hard evidence. We show that a simple condition on evidence is necessary for the implementation of a social choice function f when the preferences of the agents are state independent and sufficient for implementation for any preferences (including state dependent) with at least three agents if the social planner can perform small monetary transfers beyond those called for by f. If transfers can be large, f can be implemented in a game with perfect information when there are at least two players under a boundedness assumption. For both results, transfers only occur out of equilibrium. The use of evidence enables implementation which is robust in the sense that the planner needs little information about agentsʼ preferences or beliefs and agents need little information about each othersʼ preferences. Our results are robust to evidence forgery at any strictly positive cost.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 147 (2012)
Issue (Month): 5 ()
Pages: 1689-1724

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Handle: RePEc:eee:jetheo:v:147:y:2012:i:5:p:1689-1724
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

Keywords: Implementation; Hard evidence; Mechanism design;

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Find related papers by JEL classification:
  • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
  • D7 - Microeconomics - - Analysis of Collective Decision-Making

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  1. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-77, March.
  2. Itai Sher, 2008. "Persuasion and Limited Communication," Levine's Bibliography 122247000000002132, UCLA Department of Economics.
  3. Jacob Glazer & Ariel Rubinstein, 2004. "On Optimal Rules of Persuasion," Econometrica, Econometric Society, vol. 72(6), pages 1715-1736, November.
  4. repec:dau:papers:123456789/168 is not listed on IDEAS
  5. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
  6. Bull, Jesse & Watson, Joel, 2002. "Hard Evidence and Mechanism Design," University of California at San Diego, Economics Working Paper Series qt7715f08f, Department of Economics, UC San Diego.
  7. Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August.
  8. Frédéric Koessler & Francoise Forges, 2008. "Long persuasion games," Post-Print hal-00360719, HAL.
  9. Bull, Jesse & Watson, Joel, 2000. "Evidence Disclosure and Verifiability," University of California at San Diego, Economics Working Paper Series qt6th0060j, Department of Economics, UC San Diego.
  10. Deneckere, Raymond & Severinov, Sergei, 2008. "Mechanism design with partial state verifiability," Games and Economic Behavior, Elsevier, vol. 64(2), pages 487-513, November.
  11. Glazer, J. & Rubinstein, A., 1997. "Debates and Decisions: On a Rationale of Argumentation Rules," Papers 17-97, Tel Aviv.
  12. Alger, Ingela & Albert Ma, Ching-to, 2003. "Moral hazard, insurance, and some collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 225-247, February.
  13. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  14. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  15. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
  16. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring.
  17. repec:dau:papers:123456789/179 is not listed on IDEAS
  18. Jerry R. Green & Jean-Jacques Laffont, 1986. "Partially Verifiable Information and Mechanism Design," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 447-456.
  19. Grossman, S J & Hart, O D, 1980. " Disclosure Laws and Takeover Bids," Journal of Finance, American Finance Association, vol. 35(2), pages 323-34, May.
  20. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
  21. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
  22. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
  23. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  24. Rubinstein, Ariel & Glazer, Jacob, 2006. "A study in the pragmatics of persuasion: a game theoretical approach," Theoretical Economics, Econometric Society, vol. 1(4), pages 395-410, December.
  25. Baliga, Sandeep, 1999. "Implementation in Economic Environments with Incomplete Information: The Use of Multi-Stage Games," Games and Economic Behavior, Elsevier, vol. 27(2), pages 173-183, May.
  26. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law and Economics, University of Chicago Press, vol. 24(3), pages 461-83, December.
  27. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-42, November.
  28. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
  29. Masahiro Okuno-Fujiwara & Andrew Postlewaite & Kotaro Suzumura, 1990. "Strategic Information Revelation," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 25-47.
  30. Michael J. Fishman & Kathleen M. Hagerty, 1990. "The Optimal Amount of Discretion to Allow in Disclosure," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 427-444.
  31. Dutta, Bhaskar & Sen, Arunava, 2009. "Nash Implementation with Partially Honest Individuals," The Warwick Economics Research Paper Series (TWERPS) 920, University of Warwick, Department of Economics.
  32. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
  33. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 603-611.
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Cited by:

  1. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
  2. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
  3. Sher, Itai, 2014. "Persuasion and dynamic communication," Theoretical Economics, Econometric Society, vol. 9(1), January.
  4. Hitoshi Matsushima, 2015. "Implementation, Verification, and Detection," CIRJE F-Series CIRJE-F-991, CIRJE, Faculty of Economics, University of Tokyo.
  5. Midjord, Rune, 2013. "Full implementation of rank-dependent prizes," Economics Letters, Elsevier, vol. 119(3), pages 261-263.
  6. Makoto Shimoji & Paul Schweinzer, 2012. "Implementation without Incentive Compatibility: Two Stories with Partially Informed Planners," Discussion Papers 12/21, Department of Economics, University of York.
  7. Midjord, Rune, 2012. "Full Implementation of Rank Dependent Prizes," DFAEII Working Papers 8771, University of the Basque Country - Department of Foundations of Economic Analysis II.

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