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Subgame-Perfect Implementation Under Information Perturbations

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

Abstract

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 Copyright 2012, Oxford University Press.

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Bibliographic Info

Article provided by Oxford University Press in its journal The Quarterly Journal of Economics.

Volume (Year): 127 (2012)
Issue (Month): 4 ()
Pages: 1843-1881

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Handle: RePEc:oup:qjecon:v:127:y:2012:i:4:p:1843-1881

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  1. 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.
  2. Drew Fudenberg & David M. Kreps & David K. Levine, 1986. "On the Robustness of Equilibrium Refinements," UCLA Economics Working Papers 398, UCLA Department of Economics.
  3. 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.
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  5. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
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  7. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  8. Kim-Sau Chung & Jeffrey C. Ely, 2003. "Implementation with Near-Complete Information," Econometrica, Econometric Society, vol. 71(3), pages 857-871, 05.
  9. 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.
  10. 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.
  11. 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.
  12. Bester, Helmut & Krähmer, Daniel, 2008. "Exit options in incomplete contracts with asymmetric information," Discussion Papers 2008/23, Free University Berlin, School of Business & Economics.
  13. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  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.
  16. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  17. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  18. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-87, March.
  19. Aghion, Philippe & Dewatripont, Mathias & Rey, Patrick, 1994. "Renegotiation Design with Unverifiable Information," Scholarly Articles 12375014, Harvard University Department of Economics.
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Citations

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Cited by:
  1. Matthias Lang, 2014. "Communicating Subjective Evaluations," CESifo Working Paper Series 4830, CESifo Group Munich.
  2. Goldlücke, Susanne & Schmitz, Patrick W, 2011. "Investments as Signals of Outside Options," CEPR Discussion Papers 8366, C.E.P.R. Discussion Papers.
  3. Thomas F. Hellmann & Veikko Thiele, 2012. "A Theory of the Firm based on Partner Displacement," NBER Working Papers 18495, National Bureau of Economic Research, Inc.
  4. Oliver D. Hart, 2011. "Noncontractible Investments and Reference Points," NBER Working Papers 16929, National Bureau of Economic Research, Inc.
  5. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
  6. Philippe Aghion & Richard Holden, 2011. "Incomplete Contracts and the Theory of the Firm: What Have We Learned over the Past 25 Years?," Journal of Economic Perspectives, American Economic Association, vol. 25(2), pages 181-97, Spring.
  7. Kyungmin Kim & Antonio Penta, 2012. "A Robustly Efficient Auction," Carlo Alberto Notebooks 248, Collegio Carlo Alberto.
  8. Bester, Helmut & Krähmer, Daniel, 2012. "Exit options in incomplete contracts with asymmetric information," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1947-1968.
  9. Berde, Éva, 2013. "A fundamentális transzformáció és a referenciapont szerepe a hiányos szerződések elméletében
    [The role of basic transformation and reference point in the theory of incomplete contracts]
    ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 865-885.

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