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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. 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.
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  3. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. Fudenberg, Drew & Kreps, David M. & Levine, David K., 1988. "On the robustness of equilibrium refinements," Journal of Economic Theory, Elsevier, vol. 44(2), pages 354-380, April.
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  7. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  8. 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.
  9. 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.
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  13. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  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. Roberto Serrano & Antonio Cabrales, 2007. "Implemetation In Adaptive Better-Response Dynamics," Working Papers wp2007_0708, CEMFI.
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  17. Bester, Helmut & Krähmer, Daniel, 2008. "Exit options in incomplete contracts with asymmetric information," Discussion Papers 2008/23, Free University Berlin, School of Business & Economics.
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  19. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  20. Aghion, Philippe & Dewatripont, Mathias & Rey, Patrick, 1994. "Renegotiation Design with Unverifiable Information," Econometrica, Econometric Society, vol. 62(2), pages 257-82, March.
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  25. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  26. Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-89, November.
  27. 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.
  28. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  29. 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.
  30. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  31. 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.
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