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Subgame-Perfect Implementation Under Information Perturbations

  • Tercieux, Olivier
  • Aghion, Philippe
  • Fudenberg, Drew
  • Holden, Richard
  • Kunimoto, Takashi

We consider the robustness of extensive form mechanisms to deviations from common knowledge about the state of nature, which we refer to as information perturbations. First, we show that even under arbitrarily small information perturbations the Moore-Repullo mechanism does not yield (even approximately) truthful revelation and that in addition the mechanism has sequential equilibria with undesirable outcomes. More generally, we prove that any extensive form mechanism is fragile in the sense that if a non-Maskin monotonic social objective can be implemented with this mechanism, then there are arbitrarily small information perturbations under which an undesirable sequential equilibrium also exists. Finally, we argue that outside options can help improve efficiency in asymmetric information environments, and that these options can be thought of as reflecting ownership of an asset. JEL Codes: C72, D23, D78, D82

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File URL: http://dash.harvard.edu/bitstream/handle/1/11224965/Subgame%20Perfect%20Implementation.pdf
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Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 11224965.

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Date of creation: 2012
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Publication status: Published in The Quarterly Journal of Economics
Handle: RePEc:hrv:faseco:11224965
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  1. Kim-Sau Chung & Jeffrey C. Ely, 2001. "Implementation with Near-Complete Information," Discussion Papers 1332, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  3. repec:oup:restud:v:66:y:1999:i:1:p:23-38 is not listed on IDEAS
  4. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  5. Schmitz, Patrick W., 2002. "On the Interplay of Hidden Action and Hidden Information in Simple Bilateral Trading Problems," Journal of Economic Theory, Elsevier, vol. 103(2), pages 444-460, April.
  6. Bester, Helmut & Krähmer, Daniel, 2012. "Exit options in incomplete contracts with asymmetric information," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1947-1968.
  7. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  8. Johnson, Scott & Pratt, John W & Zeckhauser, Richard J, 1990. "Efficiency Despite Mutually Payoff-Relevant Private Information: The Finite Case," Econometrica, Econometric Society, vol. 58(4), pages 873-900, July.
  9. Marion Oury & Olivier Tercieux, 2009. "Continuous Implementation," Economics Working Papers 0090, Institute for Advanced Study, School of Social Science.
  10. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  11. Drew Fudenberg & David M. Kreps & David K. Levine, 1986. "On the Robustness of Equilibrium Refinements," UCLA Economics Working Papers 398, UCLA Department of Economics.
  12. Roberto Serrano & Antonio Cabrales, 2007. "Implementation in Adaptive Better-Response Dynamics," Working Papers 2007-10, Brown University, Department of Economics.
  13. Roger B. Myerson, 1982. "Two-Person Bargaining Problems with Incomplete Infonnation," Discussion Papers 527, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Navin Kartik & Olivier Tercieux, 2009. "Implementation with Evidence: Complete Information," Economics Working Papers 0087, Institute for Advanced Study, School of Social Science, revised May 2009.
  15. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
  16. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  17. 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.
  18. Philippe Aghion & Drew Fudenberg & Richard T. Holden, 2009. "Subgame Perfect Implementation with Almost Perfect Information and the Hold-Up Problem," NBER Working Papers 15167, National Bureau of Economic Research, Inc.
  19. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  20. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
  21. van Damme, Eric & Hurkens, Sjaak, 1997. "Games with Imperfectly Observable Commitment," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 282-308, October.
  22. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  23. repec:oup:restud:v:46:y:1979:i:2:p:185-216 is not listed on IDEAS
  24. Donald B. Hausch & Yeon-Koo Che, 1999. "Cooperative Investments and the Value of Contracting," American Economic Review, American Economic Association, vol. 89(1), pages 125-147, March.
  25. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  26. Aghion, Philippe & Dewatripont, Mathias & Rey, Patrick, 1994. "Renegotiation Design with Unverifiable Information," Scholarly Articles 12375014, Harvard University Department of Economics.
  27. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  28. Oliver Hart & Sanford Grossman, 1985. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Working papers 372, Massachusetts Institute of Technology (MIT), Department of Economics.
  29. Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte, 1996. "The One-Shot-Deviation Principle for Sequential Rationality," Games and Economic Behavior, Elsevier, vol. 12(2), pages 274-282, February.
  30. Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
  31. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
  32. Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-89, November.
  33. repec:oup:restud:v:66:y:1999:i:1:p:139-49 is not listed on IDEAS
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