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Imperfectly observable commitments in n-player games

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  • Werner Güth
  • Georg Kirchsteiger
  • Klaus Ritzberger

Abstract

In a two-stage extensive form game where followers can observe moves by leaders only with noise, pure subgame perfect Nash equilibria of the limiting game without noise may not survive arbitrarily small noise. Still, for generic games, there is always at least one subgame perfect equilibrium outcome of the game with no noise that is approximated by equilibrium outcomes of games with small noise. This, however, depends crucially on generic payoffs.
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Suggested Citation

  • Werner Güth & Georg Kirchsteiger & Klaus Ritzberger, 1998. "Imperfectly observable commitments in n-player games," ULB Institutional Repository 2013/5907, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:ulb:ulbeco:2013/5907
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    References listed on IDEAS

    as
    1. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    2. van Damme, Eric & Hurkens, Sjaak, 1997. "Games with Imperfectly Observable Commitment," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 282-308, October.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    4. Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 207-236.
    5. van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
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    Citations

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    Cited by:

    1. Morgan, John & Vardy, Felix, 2007. "The value of commitment in contests and tournaments when observation is costly," Games and Economic Behavior, Elsevier, vol. 60(2), pages 326-338, August.
    2. Huck, Steffen & Muller, Wieland, 2000. "Perfect versus Imperfect Observability--An Experimental Test of Bagwell's Result," Games and Economic Behavior, Elsevier, vol. 31(2), pages 174-190, May.
    3. Bhaskar, V. & van Damme, Eric, 2002. "Moral Hazard and Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 16-39, January.
    4. Brishti Guha, 2017. "Costly Leader Games with a Probabilistically Non-Strategic Leader," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-14, June.
    5. Jörg Oechssler & Karl H Schlag, 1997. "Loss of Commitment? An Evolutionary Analysis of Bagwell’s Example," Levine's Working Paper Archive 598, David K. Levine.
    6. Bhaskar, V, 2005. "Commitment and Observability in an Economic Environment," Economics Discussion Papers 8887, University of Essex, Department of Economics.
    7. Takahashi, Satoru & Tercieux, Olivier, 2020. "Robust equilibrium outcomes in sequential games under almost common certainty of payoffs," Journal of Economic Theory, Elsevier, vol. 188(C).
    8. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
    9. Jorg Oechssler & Karl Schlag, 1997. "An Evolutionary Analysis of Bagwell's Example," Game Theory and Information 9704001, University Library of Munich, Germany, revised 11 Apr 1997.
    10. Giorgos Stamatopoulos, 2016. "Cournot and Stackelberg equilibrium under strategic delegation: an equivalence result," Theory and Decision, Springer, vol. 81(4), pages 553-570, November.
    11. Lagerlof, Johan, 2003. "Policy-Motivated Candidates, Noisy Platforms, and Non-robustness," Public Choice, Springer, vol. 114(3-4), pages 319-347, March.
    12. Morgan, John & Vardy, Felix, 2004. "An experimental study of commitment in Stackelberg games with observation costs," Games and Economic Behavior, Elsevier, vol. 49(2), pages 401-423, November.
    13. Tanja Hörtnagl & Rudolf Kerschbamer, 2014. "How the Value of Information Shapes the Value of Commitment Or: Why the Value of Commitment Does Not Vanish," Working Papers 2014-03, Faculty of Economics and Statistics, Universität Innsbruck.
    14. Bhaskar, V., 2009. "Commitment and observability in a contracting environment," Games and Economic Behavior, Elsevier, vol. 66(2), pages 708-720, July.
    15. Reuben Bearman, 2023. "Signaling Games with Costly Monitoring," Papers 2302.01116, arXiv.org.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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